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<p><span style="font-weight: bold; color: #003300;" data-mce-mark="1">Emprant el mètode de substitució, determina en quin punt es tallen les dues <span class="nolink">rectes</span> d'equacions:</span></p> <p style="text-align: center;"><span style="font-weight: bold; color: #003300;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»r«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#8801;«/mo»«mfrac mathcolor=¨#003300¨»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»n«/mi»«mn mathvariant=¨bold¨»1«/mn»«/mrow»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»u_«/mi»«mn mathvariant=¨bold¨»1«/mn»«/mrow»«/mfrac»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»=«/mo»«mfrac mathcolor=¨#003300¨»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»n«/mi»«mn mathvariant=¨bold¨»2«/mn»«/mrow»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»u_«/mi»«mn mathvariant=¨bold¨»2«/mn»«/mrow»«/mfrac»«/mstyle»«/math» i «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»s«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#8801;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»e_«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#003300¨»2«/mn»«/mstyle»«/math».</span></p> <p style="text-align: left;"><span style="color: #ff3300; font-weight: bold;">Format de la resposta:</span> </p> <p>a) Valor de k obtingut amb la substitució: k=2/3 (simplificat)</p> <p>b) Punt de tall: (5/3,-2/3) simplificat i amb <span style="text-decoration: underline;">parèntesis</span>.</p>
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<p><span style="color: #800000; font-size: medium;"><strong>Les rectes es tallen en el punt</strong></span> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mo mathvariant=¨bold¨ mathcolor=¨#7F0000¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#7F0000¨»sol«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#7F0000¨»2«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#7F0000¨»§#160;«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#7F0000¨»per«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#7F0000¨»§#160;«/mo»«mi mathvariant=¨bold-italic¨ mathcolor=¨#7F0000¨»k«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#7F0000¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#7F0000¨»=«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#7F0000¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#7F0000¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#7F0000¨»sol«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#7F0000¨»1«/mn»«/mstyle»«/math»</p> <p>#G1</p>
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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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Answer 2
Answer
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
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16.66667%
14.28571%
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Settings for multiple tries
Penalty for each incorrect try
100%
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33.33333%
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Hint 1
Hint text
<p><span style="color: #0000ff;"><strong>Escriu les equacions paramètriques de r:</strong></span><br /><span style="color: #0000ff;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced mathcolor=¨#007F00¨ open=¨{¨ close=¨}¨»«mtable»«mtr»«mtd»«mi mathvariant=¨bold-italic¨»x«/mi»«mo mathvariant=¨bold¨»=«/mo»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»e«/mi»«mn mathvariant=¨bold¨»3«/mn»«/mtd»«/mtr»«mtr»«mtd»«mi mathvariant=¨bold-italic¨»y«/mi»«mo mathvariant=¨bold¨»=«/mo»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»e«/mi»«mn mathvariant=¨bold¨»4«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»</span></p> <p><span style="color: #0000ff;"><strong>substitueix x i y en l'equació de s, «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»e_«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»2«/mn»«/mstyle»«/math», per trobar el valor de k: </strong></span></p> <p><span style="color: #008000;"><strong>«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold-italic¨ mathcolor=¨#007F00¨»v«/mi»«mi mathvariant=¨bold-italic¨ mathcolor=¨#007F00¨»_«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»2«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mfenced mathcolor=¨#007F00¨»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»e«/mi»«mn mathvariant=¨bold¨»3«/mn»«/mrow»«/mfenced»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold-italic¨ mathcolor=¨#007F00¨»s«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»51«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold-italic¨ mathcolor=¨#007F00¨»v«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»11«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mfenced mathcolor=¨#007F00¨»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»e«/mi»«mn mathvariant=¨bold¨»4«/mn»«/mrow»«/mfenced»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold-italic¨ mathcolor=¨#007F00¨»s«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»52«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold-italic¨ mathcolor=¨#007F00¨»c«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»51«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»=«/mo»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»0«/mn»«/mstyle»«/math»</strong></span></p> <p><span style="color: #003300;"> </span></p>
Hint 2
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<p><span style="color: #0000ff;" data-mce-mark="1"><strong>Si resols:</strong></span></p> <p><span style="color: #0000ff;" data-mce-mark="1"><strong><strong>«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold-italic¨ mathcolor=¨#007F00¨»v«/mi»«mi mathvariant=¨bold-italic¨ mathcolor=¨#007F00¨»_«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»2«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mfenced mathcolor=¨#007F00¨»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»e«/mi»«mn mathvariant=¨bold¨»3«/mn»«/mrow»«/mfenced»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold-italic¨ mathcolor=¨#007F00¨»s«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»51«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold-italic¨ mathcolor=¨#007F00¨»v«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»11«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mfenced mathcolor=¨#007F00¨»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»e«/mi»«mn mathvariant=¨bold¨»4«/mn»«/mrow»«/mfenced»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold-italic¨ mathcolor=¨#007F00¨»s«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»52«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold-italic¨ mathcolor=¨#007F00¨»c«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»51«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»=«/mo»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»0«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#8660;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold-italic¨ mathcolor=¨#007F00¨»e«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»6«/mn»«/mstyle»«/math»</strong></strong></span></p> <p><span style="color: #0000ff;"> </span></p> <p><span style="color: #0000ff;"><strong>trobes el valor de k: «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»sol«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»1«/mn»«/mrow»«/mstyle»«/math»</strong></span></p> <p><span style="color: #0000ff;"><strong>Substituint k per aquest valor en les equacions paramètriques, troba les coordenades (abscissa i ordenada) del punt d'intersecció.</strong></span></p>
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