document.write( "Question 827709: Algebra 2: Write an equation of a circle with center (-2,-3) and radius 8. \n" ); document.write( "

Algebra.Com's Answer #498894 by KMST(5328) $\"\"$ $\"About$

You can put this solution on YOUR website!

$\"OQ=x-%28-2%29\"$ , $\"PQ=y-%28-3%29\"$ , and $\"OP=8\"$
\n" ); document.write( "According to the Pythagorean theorem for right triangle OPQ, $\"OQ%5E2%2BPQ%5E2=OP%5E2\"$ so
\n" ); document.write( " $\"%28x-%28-2%29%29%5E2%2B%28y-%28-3%29%29%5E2=8%5E2\"$
\n" ); document.write( " $\"highlight%28%28x%2B2%29%5E2%2B%28y%2B3%29%5E2=64%29\"$ or we can transform it:
\n" ); document.write( " $\"x%5E2%2B4x%2B4%2By%5E2%2B6y%2B9=64\"$
\n" ); document.write( " $\"x%5E2%2By%5E2%2B4x%2B6y%2B13=64\"$
\n" ); document.write( " $\"x%5E2%2By%5E2%2B4x%2B6y%2B13-64=0\"$
\n" ); document.write( " $\"highlight%28x%5E2%2By%5E2%2B4x%2B6y-21=0%29\"$
\n" ); document.write( " \n" ); document.write( "

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