Difference between revisions of "Mock AIME 1 2006-2007 Problems/Problem 4"
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| − | + | <math>\triangle ABC</math> has all of it's verticies on the parabola <math>y=x^{2}</math>. The slopes of <math>AB</math> and <math>BC</math> are <math>10</math> and <math>-9</math>, respectively. If the x-coordinate of the triangle's centroid is <math>1</math>, find the area of <math>\triangle ABC</math>. | |
| − | [[Mock AIME 1 2006-2007]] | + | |
| + | ==Solution== | ||
| + | {{solution}} | ||
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| + | ---- | ||
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| + | *[[Mock AIME 1 2006-2007/Problem 3 | Previous Problem]] | ||
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| + | *[[Mock AIME 1 2006-2007/Problem 5 | Next Problem]] | ||
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| + | *[[Mock AIME 1 2006-2007]] | ||
Revision as of 17:27, 17 August 2006
has all of it's verticies on the parabola 
. The slopes of 
and 
are 
and 
, respectively. If the x-coordinate of the triangle's centroid is 
, find the area of .
Solution
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