document.write( "Question 1014485: Center at (2,-1) and passing through (-1,2) \n" ); document.write( "
Algebra.Com's Answer #630768 by macston(5194)\"\" \"About 
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\n" ); document.write( "Find radius (distance from center to point on circle)
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\n" ); document.write( "\"P%5B1%5D=center\"=(2,-1); \"P%5B2%5D\"=(-1,2)
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\n" ); document.write( "\"d=sqrt%28%28x%5B2%5D-x%5B1%5D%29%5E2%2B%28y%5B2%5D-y%5B1%5D%29%5E2%29\"
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\n" ); document.write( "\"r=sqrt%28%28-1-2%29%5E2%2B%282-%28-1%29%29%5E2%29\"
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\n" ); document.write( "\"r=sqrt%28%28-3%29%5E2%2B%283%29%5E2%29\"
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\n" ); document.write( "\"r=sqrt%289%2B9%29\"
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\n" ); document.write( "\"r=3sqrt%282%29\"
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\n" ); document.write( "Equation for circle:
\n" ); document.write( "center=(h,k)=(2,-1)
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\n" ); document.write( "\"%28x-h%29%5E2%2B%28y-k%29=r%5E2\"
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\n" ); document.write( "\"%28x-2%29%5E2%2B%28y%2B1%29%5E2=%283sqrt%282%29%29%5E2\"
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\n" ); document.write( "\"%28x-2%29%5E2%2B%28y%2B1%29%5E2=18\"
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\n" ); document.write( "CHECK:
\n" ); document.write( "Substitute point (-1,2) for x and y.
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\n" ); document.write( "\"%28x-2%29%5E2%2B%28y%2B1%29%5E2=18\"
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\n" ); document.write( "\"%28-1-2%29%5E2%2B%282%2B1%29%5E2=18\"
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\n" ); document.write( "\"%28-3%29%5E2%2B%283%29%5E2=18\"
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\n" ); document.write( "\"9%2B9=18\"
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\n" ); document.write( "\"18=18\"\r
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