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Mock AIME 1 2006-2007 Problems/Problem 4: Difference between revisions

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4. <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>.
<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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*[[Mock AIME 1 2006-2007/Problem 3 | Previous Problem]]
 
*[[Mock AIME 1 2006-2007/Problem 5 | Next Problem]]
 
*[[Mock AIME 1 2006-2007]]

Revision as of 16:27, 17 August 2006

$\triangle ABC$ has all of it's verticies on the parabola $y=x^{2}$. The slopes of $AB$ and $BC$ are $10$ and $-9$, respectively. If the x-coordinate of the triangle's centroid is $1$, find the area of $\triangle ABC$.


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