<?xml version="1.0" encoding="UTF-8"?>
<quiz>
 <!-- categoryid: 687 -->
 <question type="category"><category><text>Pre-Calc/Chapter 8:  Analytic Geometry in Two- and Three-Dimensions/8.2 Ellipses/8.2.4 Find Equation of Ellipse Given Conditions</text></category></question>
 
 <!-- resourceid-resourcedataid: 6132-5541 -->
 <question type="multichoice">
    <name>
      <text>Find an equation in standard form for the ellipse that satisfies the given ...</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<b>Find an equation in standard form for the ellipse that satisfies the given conditions.<br/><br/></b>An ellipse with foci at (-6, -3) and (0, -3); major axis length of 10]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <single>true</single>
    <shuffleanswers>true</shuffleanswers>
    <answernumbering>abc</answernumbering>
    <correctfeedback format="html">
      <text></text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text></text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text></text>
    </incorrectfeedback>
    <answer fraction="0" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q10g1.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q10g2.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q10g1.jpg" encoding="base64">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</file><file name="ppg__8.2.4 find equation 0317131647__f1q10g2.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q10g3.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q10g4.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q10g3.jpg" encoding="base64">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</file><file name="ppg__8.2.4 find equation 0317131647__f1q10g4.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q10g5.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q10g6.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q10g5.jpg" encoding="base64">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</file><file name="ppg__8.2.4 find equation 0317131647__f1q10g6.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
    <answer fraction="100" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q10g7.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q10g8.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q10g7.jpg" encoding="base64">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</file><file name="ppg__8.2.4 find equation 0317131647__f1q10g8.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Correct</text>
      </feedback>
    </answer>
  </question>
 
 <!-- resourceid-resourcedataid: 6133-5542 -->
 <question type="multichoice">
    <name>
      <text>Find an equation in standard form for the ellipse that satisfies the given ...</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<b>Find an equation in standard form for the ellipse that satisfies the given conditions.<br/><br/></b>An ellipse with major axis from (-4, 3) to (6, 3); minor axis from <img align="bottom" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q9g1.jpg"/> to <img align="bottom" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q9g2.jpg"/>]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q9g1.jpg" encoding="base64">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</file><file name="ppg__8.2.4 find equation 0317131647__f1q9g2.jpg" encoding="base64">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</file>    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <single>true</single>
    <shuffleanswers>true</shuffleanswers>
    <answernumbering>abc</answernumbering>
    <correctfeedback format="html">
      <text></text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text></text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text></text>
    </incorrectfeedback>
    <answer fraction="0" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q9g3.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q9g4.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q9g3.jpg" encoding="base64">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</file><file name="ppg__8.2.4 find equation 0317131647__f1q9g4.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
    <answer fraction="100" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q9g5.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q9g6.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q9g5.jpg" encoding="base64">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</file><file name="ppg__8.2.4 find equation 0317131647__f1q9g6.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Correct</text>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q9g7.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q9g8.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q9g7.jpg" encoding="base64">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</file><file name="ppg__8.2.4 find equation 0317131647__f1q9g8.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q9g9.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q9g10.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q9g10.jpg" encoding="base64">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</file><file name="ppg__8.2.4 find equation 0317131647__f1q9g9.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
  </question>
 
 <!-- resourceid-resourcedataid: 6134-5543 -->
 <question type="multichoice">
    <name>
      <text>Find an equation in standard form for the ellipse that satisfies the given ...</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<b>Find an equation in standard form for the ellipse that satisfies the given conditions.<br/><br/></b>An ellipse with foci at (2, 1) and (2, -5); major axis length of 10]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <single>true</single>
    <shuffleanswers>true</shuffleanswers>
    <answernumbering>abc</answernumbering>
    <correctfeedback format="html">
      <text></text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text></text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text></text>
    </incorrectfeedback>
    <answer fraction="0" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q8g1.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q8g2.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q8g1.jpg" encoding="base64">/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCAApADADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD9Q7vXrGx1fT9LmmI1C/WV7eBEZ2ZIwDI5wDtRdyAs2BudFzudQdCvC/GX2f8A4Wd8SRrkfiOW1bwppi2Efhtrtb1ozcXYmFq1sQ6y+Z5O4qQQPLLEJzVn9nYeK7GfWNK+IK69P40sIoIJNSuJJpNJvrRV/cS2xULbiY5bzhgSmTcT+68kA628vv8AT+u/YHpr/Wy/Pp8u+ntdcP4w+NPhHwDrlrpWu315ZyzvDEbtNLu5rK3eVxHEtxdxxNBblmZQBK6Z3L6iuQ0fwx8YIf2htU1a/wDE+izfDx9Lto4rOPSJ13MJ7otGgOoMEnCtCXuDEVkXYoRShNVPjh8RdMu9aHgLVdD8UzaDKkVxq9/p3g/VtThuIt4YWkUlrbSIS+3Ej7vkU7V+dsx00k4q+/8AVtL6/f6FcvxJdFv0/rp/TPSdV1y/8R6bqtn4N1LTLbXrK5+yTSavaTTR2bcMS9urxPJlSCoDoGDBgxGM5nwd8VeIvFPh7VB4nhsDqml6td6Wb/SYnis9QWGTaJ4o3d2j7oyF32yRyDccZrgfGmheKPGPxb8Vaf4K8RJ4UuLrwzpn2zUbzTZ7qNc3N3hFRJ4CkzR5BfeJFUrjB2lfTPhl4a8QeEfDaaXr2o6Df/ZyI7NfD2iy6XBDCFACGOS6uCTnJ3Bh1HHcpbNvT19d/wA7d09dkE0tFF/8M1e34r0a82cRd/D74w32r6fqk3jzwAdQsFlS3nTwNqCMqSACRDjWhuRtqEq2RuRGxuRSND/hHPjf/wBFD+H/AP4Qd9/8ua9Vo6UiTwbRfFHxA8S+JtT8OaR8bfhJqviHS8m/0my8KXE13aYIU+bEutl0wSB8wHJxWf4U+JHizx5rs2i+Gfj/APBnxFrMCs8unaT4bluriNVIDFo49cLAAkAkjgmodK+L3wl+Ifxj0c6P4v8ACpl8HpqFrp1hpup28uo39xJGBcJBaxMZWhREf5QpMjqrKNsatJL8EvFsl/490nS/CfxZi+LPhFNIlXVVijsJIdGnj8lbdY5bSNDGZA0o8mdpZCI8hhsbc46266X/AOD10/q6KnHkvfvb/gdr/j0s2dJpPw7+L+iT6hPZ+Ovh9FcahObm6mbwLfvJNIQACzNrROAAFUZwqgAAAAV2PgrSfiLYarLJ4v8AFXhfXNNMJWO30Tw1c6bMsu5cOZJNQuAV2hxt2AkkHcMEHtaKQm76sKKKKBBRRRQAUUUUAf/Z</file><file name="ppg__8.2.4 find equation 0317131647__f1q8g2.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q8g3.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q8g4.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q8g3.jpg" encoding="base64">/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCAApADEDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD9Q7vXrGx1fT9LmmI1C/WV7eBEZ2ZIwDI5wDtRdyAs2BudFzudQdCvHNQ8PN4s+MvxC0a/vdT00X/hPT7fTr3T7qa2lgjaa9E7wSxkbJA/kklSG4jzxiqP7O/hXWJdM0nU/Et14hTWfDllL4YlS91u8mttSmhmZZb5opJnSUuVGyRsuAXUnAUKrq9v663+7RPzfqD01/ro/wAVdryXme41xnxE+L/hj4VwJN4iuNQhhMT3EklhpF5frbQpy005t4pPIiHOZJNq8Hng44vxn4Y+MF78d/C2p6D4n0W08CQWd6t3aTaRPJsLNa7UmA1CMTSMEm8uURARfOGV94q58d/iWPDdvb+F49N8Ru2twSJc6vpHhfUdXisLcgq5H2W3lBnbJCI2AOXbIAR6krRi09X0+bWtr22vttrY0jFN2ex3E3iuHW49R0/w3qFjNrsVrHcQC7DmDZKMxTjbjzYuvKHBKldykEjnPhV4m8YX+u+L/D/i9tI1K50O4t0h1rQrOWztrlZYFkMTQSTTNHLHkFh5rArLE3y7iK4jxHp91qHi34c2Pw5u5PCczeFdSgtLjUtIuXSwtR9iWHz7SRoX3KQAiTFSCH4OGB7v4QeBvFfgHTJtO8Qa94f1q0GHhbR9CuLCYykkyyzyTX1yZnckEt8pzkknPFNJN2uvVb6vb7tfO66EfYi3v5emvb5Ltr6+hUUUVAjw/wAQ/DH4z6/JDdL8S/BGl6vbQzQ2mq2PgW8E9sJVAfAfWGjcZVG2SI6bo0YqSqkXdF8DfGvQ9KtrGP4keBbhYVwZ7nwNfPLKxOWdz/bIyzEknAAyeAK9jooA8G/4Sf4gf8Jr/wAId/wu34Sf8Jd5fnf2B/wilx9v2bd277P/AG35mNvzZ24xzWfbfEjxZe+Mm8IW/wAf/gzP4sWVoG0GLw3K18JFBLIYBrm/cACSMZGDS+OPir8KPFXxX0TwRN4x8IaXf+Htfg1S6SfWLW3vH1IBhFbQRFw7SszjzGx90mL5mdvLreHfGxm+K2kWPgn4sDxiZ9ZvBr3gg21kRo9q5nlaSRUiW7tZI5fLTNxIwZmK7FLLtcdVF977fLX5ddNle6TLnHkTfa34309dLrW+tkm0dXbfDv4v2et3usR+Ovh9/ad4iRTXL+Bb92MaZ2oudaO1ASTtXA3MzYyST03hbRfinaa7ay+JPGXg/VdFXd9os9L8JXVjcSfKQuyZ9TmVMNtJzG2QCOCdw9AopEt33CiiigQUUUUAFFFFABRRRQAUUUUAf//Z</file><file name="ppg__8.2.4 find equation 0317131647__f1q8g4.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
    <answer fraction="100" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q8g5.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q8g6.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q8g5.jpg" encoding="base64">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</file><file name="ppg__8.2.4 find equation 0317131647__f1q8g6.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Correct</text>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q8g7.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q8g8.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q8g7.jpg" encoding="base64">/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCAApADADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD9Q7vXrGx1fT9LmmI1C/WV7eBEZ2ZIwDI5wDtRdyAs2BudFzudQdCvC/GX2f8A4Wd8SRrkfiOW1bwppi2Efhtrtb1ozcXYmFq1sQ6y+Z5O4qQQPLLEJzVn9nYeK7GfWNK+IK69P40sIoIJNSuJJpNJvrRV/cS2xULbiY5bzhgSmTcT+68kA628vv8AT+u/YHpr/Wy/Pp8u+ntdcP4w+NPhHwDrlrpWu315ZyzvDEbtNLu5rK3eVxHEtxdxxNBblmZQBK6Z3L6iuQ0fwx8YIf2htU1a/wDE+izfDx9Lto4rOPSJ13MJ7otGgOoMEnCtCXuDEVkXYoRShNVPjh8RdMu9aHgLVdD8UzaDKkVxq9/p3g/VtThuIt4YWkUlrbSIS+3Ej7vkU7V+dsx00k4q+/8AVtL6/f6FcvxJdFv0/rp/TPSdV1y/8R6bqtn4N1LTLbXrK5+yTSavaTTR2bcMS9urxPJlSCoDoGDBgxGM5nwd8VeIvFPh7VB4nhsDqml6td6Wb/SYnis9QWGTaJ4o3d2j7oyF32yRyDccZrgfGmheKPGPxb8Vaf4K8RJ4UuLrwzpn2zUbzTZ7qNc3N3hFRJ4CkzR5BfeJFUrjB2lfTPhl4a8QeEfDaaXr2o6Df/ZyI7NfD2iy6XBDCFACGOS6uCTnJ3Bh1HHcpbNvT19d/wA7d09dkE0tFF/8M1e34r0a82cRd/D74w32r6fqk3jzwAdQsFlS3nTwNqCMqSACRDjWhuRtqEq2RuRGxuRSND/hHPjf/wBFD+H/AP4Qd9/8ua9VopEni1nP8VdR1/UNDtfi18MLnW9OSOW902HwZdvc2ySAmNpIxrW5AwBwWAzg4qM3vxRXxSvhk/F74XDxI1sbwaOfB119sMGdvm+T/be/ZnjdjGe9c1o/jPwlpf7Xvj7RfD+qeH/+EjbwfZFdGtbqFZ5r5brUZ5VaJDuMmJI5H43YkVj94Gub/ZD+JGs3U/h/QpPEHhTxbcanp8+o+KIdGtpl1fRdUAiD/wBpzNKwaR28yII8Vu6+SFRWSJtlqN7Ppa/33t+Wr/K91VRKEnFa7fkm7/ft+dj1DSfh38X9En1Cez8dfD6K41Cc3N1M3gW/eSaQgAFmbWicAAKozhVAAAAArsfBWk/EWw1WWTxf4q8L65pphKx2+ieGrnTZll3LhzJJqFwCu0ONuwEkg7hgg9rRUCbvqwooooEFFFFABRRRQB//2Q==</file><file name="ppg__8.2.4 find equation 0317131647__f1q8g8.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
  </question>
 
 <!-- resourceid-resourcedataid: 6135-5544 -->
 <question type="multichoice">
    <name>
      <text>Find an equation in standard form for the ellipse that satisfies the given ...</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<b>Find an equation in standard form for the ellipse that satisfies the given conditions.<br/><br/></b>An ellipse with center at origin, length of major axis 18 and y-intercepts <img align="bottom" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q7g1.jpg"/>]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q7g1.jpg" encoding="base64">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</file>    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <single>true</single>
    <shuffleanswers>true</shuffleanswers>
    <answernumbering>abc</answernumbering>
    <correctfeedback format="html">
      <text></text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text></text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text></text>
    </incorrectfeedback>
    <answer fraction="100" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q7g2.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q7g3.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q7g2.jpg" encoding="base64">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</file><file name="ppg__8.2.4 find equation 0317131647__f1q7g3.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Correct</text>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q7g4.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q7g5.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q7g4.jpg" encoding="base64">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</file><file name="ppg__8.2.4 find equation 0317131647__f1q7g5.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q7g6.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q7g7.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q7g6.jpg" encoding="base64">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</file><file name="ppg__8.2.4 find equation 0317131647__f1q7g7.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q7g8.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q7g9.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q7g8.jpg" encoding="base64">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</file><file name="ppg__8.2.4 find equation 0317131647__f1q7g9.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
  </question>
 
 <!-- resourceid-resourcedataid: 6136-5545 -->
 <question type="multichoice">
    <name>
      <text>Find an equation in standard form for the ellipse that satisfies the given ...</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<b>Find an equation in standard form for the ellipse that satisfies the given conditions.<br/><br/></b>The vertical major axis is of length 18, and the minor axis is of length 10.]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <single>true</single>
    <shuffleanswers>true</shuffleanswers>
    <answernumbering>abc</answernumbering>
    <correctfeedback format="html">
      <text></text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text></text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text></text>
    </incorrectfeedback>
    <answer fraction="0" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q2g1.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q2g2.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q2g1.jpg" encoding="base64">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</file><file name="ppg__8.2.4 find equation 0317131647__f1q2g2.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
    <answer fraction="100" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q2g3.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q2g4.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q2g3.jpg" encoding="base64">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</file><file name="ppg__8.2.4 find equation 0317131647__f1q2g4.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Correct</text>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q2g5.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q2g6.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q2g5.jpg" encoding="base64">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</file><file name="ppg__8.2.4 find equation 0317131647__f1q2g6.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q2g7.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q2g8.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q2g7.jpg" encoding="base64">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</file><file name="ppg__8.2.4 find equation 0317131647__f1q2g8.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
  </question>
 
 <!-- resourceid-resourcedataid: 6137-5546 -->
 <question type="multichoice">
    <name>
      <text>Find an equation in standard form for the ellipse that satisfies the given ...</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<b>Find an equation in standard form for the ellipse that satisfies the given conditions.<br/><br/></b>Vertices at (±14, 0) and foci at (±7 , 0)]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <single>true</single>
    <shuffleanswers>true</shuffleanswers>
    <answernumbering>abc</answernumbering>
    <correctfeedback format="html">
      <text></text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text></text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text></text>
    </incorrectfeedback>
    <answer fraction="100" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q1g1.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q1g2.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q1g1.jpg" encoding="base64">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</file><file name="ppg__8.2.4 find equation 0317131647__f1q1g2.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Correct</text>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q1g3.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q1g4.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q1g3.jpg" encoding="base64">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</file><file name="ppg__8.2.4 find equation 0317131647__f1q1g4.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q1g5.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q1g6.jpg"/>  = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q1g5.jpg" encoding="base64">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</file><file name="ppg__8.2.4 find equation 0317131647__f1q1g6.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q1g7.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q1g8.jpg"/> = 2]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q1g7.jpg" encoding="base64">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</file><file name="ppg__8.2.4 find equation 0317131647__f1q1g8.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
  </question>
 
 <!-- resourceid-resourcedataid: 6138-5547 -->
 <question type="multichoice">
    <name>
      <text>Find an equation in standard form for the ellipse that satisfies the given ...</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<b>Find an equation in standard form for the ellipse that satisfies the given conditions.<br/><br/></b>The horizontal major axis is of length 16, and the minor axis is of length 14.]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <single>true</single>
    <shuffleanswers>true</shuffleanswers>
    <answernumbering>abc</answernumbering>
    <correctfeedback format="html">
      <text></text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text></text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text></text>
    </incorrectfeedback>
    <answer fraction="0" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q3g1.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q3g2.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q3g1.jpg" encoding="base64">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</file><file name="ppg__8.2.4 find equation 0317131647__f1q3g2.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q3g3.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q3g4.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q3g3.jpg" encoding="base64">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</file><file name="ppg__8.2.4 find equation 0317131647__f1q3g4.jpg" encoding="base64">/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCAApABQDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD9U68s8ZeJfiD4T8deHZkk8Paj4U1bWItJ/sWKynXU0R43Y3K3Rm8t9mwyNF5AxGrnzCV5574veE9ctPi14d17TL3xDeaZ4gsLrwveaZZ6zeQ2tnPJGZIb8QxzKqFFSZWkVd43IykFdwseH/gz8QPDHjG11G28f6Lqmj2UcdlZw+INAvdQ1G3sxt8xBeNqYDTSYy87REsduRtRUEwaclfpv9+z9VZ6bKXdFNKzXdafo/k7/d2Z7ZRRRVEng+s+EPjHo+qzeKtZ+MngWz0nT7RmNteeCbiHT7TAO+5Zv7XDbtpIJeQooHCqSSbHhDU/ib8QdGTWPC3xi+FniXSXdo1v9I8H3V3AzLwyiSPWyuR3GeKv/tY2kN/8GL21uNSk0GGTUNPJ18FfK0Zku4pEvpgwKNFCyLIyvhCF+ZkXLrl/stag+qr45vpNa0Xxo11qsUzeNvDtubew1pvs0a/u4w8keYQqws0ckikpywcOqkPe5t9Pz0/zfS2iSb1UW1az6v8Ar+vy1ue1aTHfQ6VZR6ncW95qSQot1cWlu0EMsoUb3SNncopbJCl3IBALNjJKt0UCCiiigAooooA//9k=</file>      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q3g5.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q3g6.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q3g5.jpg" encoding="base64">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</file><file name="ppg__8.2.4 find equation 0317131647__f1q3g6.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
    <answer fraction="100" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q3g7.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q3g8.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q3g7.jpg" encoding="base64">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</file><file name="ppg__8.2.4 find equation 0317131647__f1q3g8.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Correct</text>
      </feedback>
    </answer>
  </question>
 
 <!-- resourceid-resourcedataid: 6139-5548 -->
 <question type="multichoice">
    <name>
      <text>Find an equation in standard form for the ellipse that satisfies the given ...</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<b>Find an equation in standard form for the ellipse that satisfies the given conditions.<br/><br/></b>Major axis endpoints (0, ±6), minor axis length 4]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <single>true</single>
    <shuffleanswers>true</shuffleanswers>
    <answernumbering>abc</answernumbering>
    <correctfeedback format="html">
      <text></text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text></text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text></text>
    </incorrectfeedback>
    <answer fraction="0" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q4g1.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q4g2.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q4g1.jpg" encoding="base64">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</file><file name="ppg__8.2.4 find equation 0317131647__f1q4g2.jpg" encoding="base64">/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCAApABQDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD9U68s8ZeJfiD4T8deHZkk8Paj4U1bWItJ/sWKynXU0R43Y3K3Rm8t9mwyNF5AxGrnzCV5574veE9ctPi14d17TL3xDeaZ4gsLrwveaZZ6zeQ2tnPJGZIb8QxzKqFFSZWkVd43IykFdwseH/gz8QPDHjG11G28f6Lqmj2UcdlZw+INAvdQ1G3sxt8xBeNqYDTSYy87REsduRtRUEwaclfpv9+z9VZ6bKXdFNKzXdafo/k7/d2Z7ZRRRVEniMnw6+OM3iiPWJfiv4Nlihg8qDSz4EuRaxOc7phjVg7OVO35nZQPuqCSTd0y0+MGtwzS6d8UfhtfxQzyWsr2vgm8kVJo3KSRsV1o4ZWVlZTyCCDyK7L4s+INT8MeAtU1DSdLvNVuo1AeOxntYZYYSR5swe5nhiGxNzfNIOQK8W/YK8e6B4z+GXii38O2iWNhp/ivVvKt01CyuwkUt5LLEM2txMBhWAyThsbkLqQ5uEVKMnfa34/1+nQbXLFS7u34P/I+jdJjvodKso9TuLe81JIUW6uLS3aCGWUKN7pGzuUUtkhS7kAgFmxklW6KgQUUUUAFFFFAH//Z</file>      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q4g3.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q4g4.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q4g3.jpg" encoding="base64">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</file><file name="ppg__8.2.4 find equation 0317131647__f1q4g4.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q4g5.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q4g6.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q4g5.jpg" encoding="base64">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</file><file name="ppg__8.2.4 find equation 0317131647__f1q4g6.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
    <answer fraction="100" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q4g7.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q4g8.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q4g7.jpg" encoding="base64">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</file><file name="ppg__8.2.4 find equation 0317131647__f1q4g8.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Correct</text>
      </feedback>
    </answer>
  </question>
 
 <!-- resourceid-resourcedataid: 6140-5549 -->
 <question type="multichoice">
    <name>
      <text>Find an equation in standard form for the ellipse that satisfies the given ...</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<b>Find an equation in standard form for the ellipse that satisfies the given conditions.<br/><br/></b>Minor axis endpoints (±3, 0), major axis length 18]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <single>true</single>
    <shuffleanswers>true</shuffleanswers>
    <answernumbering>abc</answernumbering>
    <correctfeedback format="html">
      <text></text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text></text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text></text>
    </incorrectfeedback>
    <answer fraction="0" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q5g1.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q5g2.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q5g1.jpg" encoding="base64">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</file><file name="ppg__8.2.4 find equation 0317131647__f1q5g2.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q5g3.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q5g4.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q5g3.jpg" encoding="base64">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</file><file name="ppg__8.2.4 find equation 0317131647__f1q5g4.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q5g5.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q5g6.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q5g5.jpg" encoding="base64">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</file><file name="ppg__8.2.4 find equation 0317131647__f1q5g6.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
    <answer fraction="100" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q5g7.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q5g8.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q5g7.jpg" encoding="base64">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</file><file name="ppg__8.2.4 find equation 0317131647__f1q5g8.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Correct</text>
      </feedback>
    </answer>
  </question>
 
 <!-- resourceid-resourcedataid: 6141-5550 -->
 <question type="multichoice">
    <name>
      <text>Find an equation in standard form for the ellipse that satisfies the given ...</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<b>Find an equation in standard form for the ellipse that satisfies the given conditions.<br/><br/></b>An ellipse with intercepts (±5, 0) and (0, ±9), center at origin]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <single>true</single>
    <shuffleanswers>true</shuffleanswers>
    <answernumbering>abc</answernumbering>
    <correctfeedback format="html">
      <text></text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text></text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text></text>
    </incorrectfeedback>
    <answer fraction="0" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q6g1.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q6g2.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q6g1.jpg" encoding="base64">/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCAApABcDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD9U65zxtbeLbzT4YfCGpaLo96XzLe63p81/GqAfdWCOeAkk/xGUbcfdbPHPfHiwuNW+HtxYafceIbPXLqeOHSrrw5JcRywXhJEMsrRfKIFb5pPOBiKghlbIU+a6L4V+IPxN8BXGlyavN4R8TpqbDxXb+KNJvdSsNSZVAEdgVu7dFsXUKQsLHcvyS/vDNvne6f9bfl1+XctWTV3o/6/Hp5p7WPXfhB4u1Tx58NPD+va1Ywadql7b754rRy8DsGK+bCTyYpABIhPOx1zmitfwfYa3pnh+2tvEOoaZqeqR5V7jR9NfT7Yrn5AsDzzsuFwP9Yc4zgdAVpLdma0R5d4oufin4H0S41nxH8XPhfoGkW+PO1DVPBt1bW8eSAN0j62FGSQBk9TVE+J/iAPD+la8fjb8JBoerTR2+n6n/wilx9mvJJDiNIZf7b2yMxBChSST0pv7Wjxw6f4Dun8WWvw9ksNfF9B4w1RUk07TJUtpwBcxyFUZZld4AGkjIMoKvv2q3j3jHX/AAr4c/ZbsdT8Sah4Zs7xvGlqbHxGWS0g1kHXLae4vrQSn5I5kjaZljZk2xllZ4wrkpJTlZ6apbaa26/PT8mjVRTaXf8A4P5W9NbXT3+sfAum+ONP+3f8Jl4h8P69v2fZP7C0GfTPKxu3+Z5t7c+ZnKYxs27Wzu3DaV0dhf2uq2Nte2VzDeWVzGs0FzbuHjljYAq6sOGUgggjgg0UmmnZmSd9UWKKKKQwooooA//Z</file><file name="ppg__8.2.4 find equation 0317131647__f1q6g2.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q6g3.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q6g4.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q6g3.jpg" encoding="base64">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</file><file name="ppg__8.2.4 find equation 0317131647__f1q6g4.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q6g5.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q6g6.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q6g5.jpg" encoding="base64">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</file><file name="ppg__8.2.4 find equation 0317131647__f1q6g6.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
    <answer fraction="100" format="html">
      <text><![CDATA[<img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q6g7.jpg"/> + <img align="middle" src="@@PLUGINFILE@@/ppg__8.2.4 find equation 0317131647__f1q6g8.jpg"/> = 1]]></text>
<file name="ppg__8.2.4 find equation 0317131647__f1q6g7.jpg" encoding="base64">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</file><file name="ppg__8.2.4 find equation 0317131647__f1q6g8.jpg" encoding="base64">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</file>      <feedback format="html">
        <text>Correct</text>
      </feedback>
    </answer>
  </question>
 </quiz>
