document.write( "Question 299715: what are the possible coordinates of a point where the line y=x-4 and the circle x^2+y^2=40 meet. thank you !!!!! \n" ); document.write( "
Algebra.Com's Answer #215268 by Edwin McCravy(20059)\"\" \"About 
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what are the possible coordinates of a point where the line y=x-4 and the circle x^2+y^2=40 meet. thank you !!!!!
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document.write( "Here's how to find those points algebraically:\r\n" );
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document.write( "\"system%28y=x-4%2Cx%5E2%2By%5E2=40%29\"\r\n" );
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document.write( "Substitute \"%28x-4%29\" for y in the second equation:\r\n" );
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document.write( "\"x%5E2%2By%5E2=40\"\r\n" );
document.write( "\"x%5E2%2B%28x-4%29%5E2=40\"\r\n" );
document.write( "\"x%5E2%2B%28x-4%29%28x-4%29=40\"\r\n" );
document.write( "\"x%5E2%2Bx%5E2-4x-4x%2B16=40\"\r\n" );
document.write( "\"2x%5E2-8x%2B16=40\"\r\n" );
document.write( "\"2x%5E2-8x-24=0\"\r\n" );
document.write( "\"x%5E2-4x-12=0\"\r\n" );
document.write( "\"%28x-6%29%28x%2B2%29=0\"\r\n" );
document.write( "\"matrix%282%2C2%2C%0D%0A%22x-6=0%22%2C%22x%2B2=0%22%2C%0D%0A%22x=6%22%2C++++%22x=-2%22%29\"\r\n" );
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document.write( "Substitute 6 for x in \"y=x-4\"\r\n" );
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document.write( "\"y=x-4\"\r\n" );
document.write( "\"y=6-4\"\r\n" );
document.write( "\"y=2\"\r\n" );
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document.write( "So one point is (x,y) = (6,2)\r\n" );
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document.write( "Substitute -2 for x in \"y=x-4\"\r\n" );
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document.write( "\"y=x-4\"\r\n" );
document.write( "\"y=-2-4\"\r\n" );
document.write( "\"y=-6\"\r\n" );
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document.write( "So the other point is (x,y) = (-2,-6)\r\n" );
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document.write( "Edwin
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