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<p style="text-align: center;"><span style="font-family: arial, helvetica, sans-serif; font-size: medium;" data-mce-mark="1">#graf</span></p> <p><span style="font-family: arial, helvetica, sans-serif; font-size: medium;" data-mce-mark="1"> </span></p> <p><span style="font-family: arial, helvetica, sans-serif; font-size: medium;" data-mce-mark="1">En el siguiente plano cartesiano estan las ecuaciones que representan los perímetros de los rectángulos #texta1 y #texta2 que se pueden observar en la figura superior.</span></p> <p><span style="font-family: arial, helvetica, sans-serif; font-size: medium;" data-mce-mark="1"> </span></p> <p><span style="font-family: arial, helvetica, sans-serif; font-size: medium;" data-mce-mark="1"> </span></p> <p><span style="font-family: arial, helvetica, sans-serif; font-size: medium;" data-mce-mark="1">De acuerdo al plano, estime el valor de «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»x«/mi»«mn»1«/mn»«/math» e «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»y«/mi»«mn»1«/mn»«/math» si:</span></p> <p><span style="font-family: arial, helvetica, sans-serif; font-size: medium;" data-mce-mark="1"> </span></p> <p> </p> <p style="text-align: center;"><span style="font-family: arial, helvetica, sans-serif; font-size: medium;" data-mce-mark="1"><span> #graf2</span></span></p> <p> </p> <p> </p> <p style="text-align: left;"><span style="font-family: arial, helvetica, sans-serif; font-size: medium; color: #ff0000;" data-mce-mark="1"><strong>Observación:</strong></span></p> <p style="text-align: left;"><span style="font-family: arial, helvetica, sans-serif; font-size: medium; color: #ff0000;" data-mce-mark="1">- Para números decimales utilce punto en vez de coma.</span></p> <p style="text-align: left;"><span style="font-family: arial, helvetica, sans-serif; font-size: medium; color: #ff0000;" data-mce-mark="1">- Recuerda que el perímetro de un rectángulo de lados contiguos «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathcolor=¨#FF0000¨»a«/mi»«/math» y «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathcolor=¨#FF0000¨»b«/mi»«/math» se calcula de la siguiente forma: «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathcolor=¨#FF0000¨»P«/mi»«mo mathcolor=¨#FF0000¨»§#160;«/mo»«mo mathcolor=¨#FF0000¨»=«/mo»«mo mathcolor=¨#FF0000¨»§#160;«/mo»«mn mathcolor=¨#FF0000¨»2«/mn»«mi mathcolor=¨#FF0000¨»a«/mi»«mo mathcolor=¨#FF0000¨»§#160;«/mo»«mo mathcolor=¨#FF0000¨»+«/mo»«mo mathcolor=¨#FF0000¨»§#160;«/mo»«mn mathcolor=¨#FF0000¨»2«/mn»«mi mathcolor=¨#FF0000¨»b«/mi»«/math»</span></p> <p style="text-align: left;"> </p> <p><span data-mce-mark="1"> </span><span data-mce-mark="1"> </span></p>
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<p><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;">Ambas rectas representan las ecuaciones de los perímetros de los <span style="font-family: arial,helvetica,sans-serif; font-size: medium;">rectángulos #texta1 y #texta2, entonces, lo que observamos en el plano es un sistema de ecuaciones. </span></span></p> <p> </p> <p> </p> <p><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">Debemos recordar que la solución de un sistema de ecuaciones es el punto <span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»(«/mo»«mi»P«/mi»«mo»)«/mo»«/math»</span></span></span> de intersección entre ambas rectas, marcadado en negro en el siguiente gráfico:</span></span></p> <p> </p> <p> </p> <p style="text-align: center;"><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">#graf3</span></span></p> <p style="text-align: center;"> </p> <p style="text-align: center;"> </p> <p><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">Por lo tanto <span style="font-family: arial,helvetica,sans-serif; font-size: medium;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»x«/mi»«mn»1«/mn»«/math» e «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»y«/mi»«mn»1«/mn»«/math»</span> representan las coordenadas de <span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«/math»</span></span></span></span></span> , <span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»x«/mi»«mn»1«/mn»«/math»</span></span></span> la coordenada correspondiente a la abscisa (eje horizontal) e <span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»y«/mi»«mn»1«/mn»«/math»</span></span></span> <span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">coordenada correspondiente</span></span> ordenada (eje vertical).</span></span></p> <p> </p> <p> </p> <p><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">Para realizar la estimación de <span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»x«/mi»«mn»1«/mn»«/math»</span></span></span></span></span> nos centramos en el valor que toma <span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»x«/mi»«mn»1«/mn»«/math»</span></span></span></span></span></span></span> en el eje de las abscisas ( eje horizontal), para obtenerlo puede trazar una flecha desde el punto «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«/math» hasta el eje horizontal:</span></span></p> <p> </p> <p> </p> <p style="text-align: center;"><span style="font-family: arial, helvetica, sans-serif; font-size: medium;">#graf4</span></p> <p style="text-align: center;"> </p> <p style="text-align: center;"> </p> <p style="text-align: left;"><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">Obteniendo que:</span></span> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»x«/mi»«mn»1«/mn»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»m«/mi»«/math»</span></span></span></span></span></span></span></span></span></p> <p> </p> <p> </p> <p><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">Para realizar la estimación de <span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»y«/mi»«mn»1«/mn»«/math»</span></span></span></span></span> nos centramos en el valor que toma <span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»y«/mi»«mn»1«/mn»«/math»</span></span></span></span></span></span></span></span></span> en el eje de las ordenadas ( eje vertical), <span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">para obtenerlo puede trazar una flecha desde el punto «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«/math» hasta el eje vertical:</span></span></span></span></span></span></p> <p><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"> </span></span></span></span></span></span></p> <p> </p> <p style="text-align: center;"><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">#graf5</span></span></span></span></span></span></p> <p style="text-align: center;"> </p> <p style="text-align: center;"> </p> <p style="text-align: left;"><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">Obteniendo que</span></span></span></span></span> <span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»y«/mi»«mn»1«/mn»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»n«/mi»«/math»</span></span></span></span></span></span></span></span></span></span></p> <p> </p> <p> </p> <p><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;">Luego, podemos concluir que la solución del sistema de ecuaciones, es decir, el punto de intersección de ambas rectas <span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«/math»</span></span></span></span></span></span></span> es:</span></p> <p style="text-align: center;"> </p> <p style="text-align: center;"> </p> <p style="text-align: center;"><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="color: #000000; font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#8201;«/mo»«mo»(«/mo»«mo»#«/mo»«mi»m«/mi»«mo»§#160;«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»n«/mi»«mo»)«/mo»«/math»</span></span></span></span></span></span></span></p> <p style="text-align: center;"> </p> <p style="text-align: center;"> </p> <p style="text-align: center;"> </p> <p><strong><span style="font-family: arial,helvetica,sans-serif; font-size: medium; color: #99cc00;">Reporta y/o califica esta pregunta:</span></strong></p> <p><span style="font-family: arial,helvetica,sans-serif; font-size: medium; color: #99cc00;">1. Copia este código: <span style="color: #000000;"><strong>EySE. C3. S02. a. LS-JP</strong></span></span></p> <p><span style="font-family: arial,helvetica,sans-serif; font-size: medium; color: #99cc00;">2. Presiona este <span style="text-decoration: underline;"><strong><span style="color: #0000ff;"><a href="https://docs.google.com/forms/d/e/1FAIpQLSejUJfyYOVP4-dMOQ_mWon-7epEMg7Vddq2LNbGnOqwOiOVXQ/viewform" target="_blank"><span style="color: #0000ff; text-decoration: underline;">enlace</span></a></span></strong></span>, pega el código y completa el formulario</span></p> <p> </p>
No, case is unimportant
Yes, case must match
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Answer 1
Answer
Grade
None
100%
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83.33333%
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66.66667%
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33.33333%
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16.66667%
14.28571%
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11.11111%
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<p><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">La respuesta que diste es exacta.</span></p> <p><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">¡Muy bien!</span></p> <p> </p>
Answer 2
Answer
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
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50%
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33.33333%
30%
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16.66667%
14.28571%
12.5%
11.11111%
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<p><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">Tu aproximación es muy buena.</span></p> <p><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">¡Muy bien!</span></p> <p> </p>
Answer 3
Answer
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
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33.33333%
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16.66667%
14.28571%
12.5%
11.11111%
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Feedback
<p><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">Estás cerca, pero podrías mejorar la estimación.</span></p> <p> </p>
Answer 4
Answer
Grade
None
100%
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83.33333%
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75%
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66.66667%
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33.33333%
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16.66667%
14.28571%
12.5%
11.11111%
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Feedback
<p><span style="font-size: medium;">Al parecer cometiste un error, revisa tu desarrollo y consulta a tu profesor si aún te quedan dudas.</span></p>
Answer 5
Answer
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
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20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
Feedback
Settings for multiple tries
Penalty for each incorrect try
100%
50%
33.33333%
25%
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10%
0%
Hint 1
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