document.write( "Question 1028930: Please help with this problem. I have been trying for days to solve this. \r
\n" ); document.write( "\n" ); document.write( "Given ABC find the values of x and y. In your final answer, include all of your calculations.
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Algebra.Com's Answer #644009 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
Due to similar triangles, we have the following relationships
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\n" ); document.write( "h^2 = 9(x-9)
\n" ); document.write( "y^2 = 9x
\n" ); document.write( "36 = (x-9)(x)
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\n" ); document.write( "36 = x^2-9x
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\n" ); document.write( "x^2-9x-36 = 0
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\n" ); document.write( "(x-12)(x+3) = 0
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\n" ); document.write( "x = 12 and x = -3
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\n" ); document.write( "we want the positive value for x
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\n" ); document.write( "y^2 = 9 * 12
\n" ); document.write( "y^2 = 108
\n" ); document.write( "y = square root(108) = 6 * square root(3)
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\n" ); document.write( "x = 12
\n" ); document.write( "y = 6 * square root(3)
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