document.write( "Question 1074036: Write the equation for a circle with center (–9, –2) and tangent to x = –1. \n" ); document.write( "
Algebra.Com's Answer #688808 by KMST(5328)\"\" \"About 
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Point (-9,-2) is at \"1\" unit distance from line \"x=-1\" ,
\n" ); document.write( "so the circle will be a circle of radius \"R=1\"
\n" ); document.write( "centered at point \"C%28-9%2C-2%29\" , which has \"system%28x%5BC%5D=-9%2Cy%5BC%5D=-2%29\" .
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\n" ); document.write( "The square of the distance between circle center \"C\"
\n" ); document.write( "and any circle point \"P%28x%5BP%5D%2Cy%5BP%5D%29\" is
\n" ); document.write( "\"%28x-x%5BC%5D%29%5E2%2B%28y-y%5BC%5D%29%5E2=R%5E2\" .
\n" ); document.write( "That is true for all points in any circle, with any center and any radius.
\n" ); document.write( "That is the equation of a circle.
\n" ); document.write( "For this circle,
\n" ); document.write( "\"%28x-%28-9%29%29%5E2%2B%28y-%28-2%29%29%5E2=1%5E2\" simplifies to
\n" ); document.write( "\"highlight%28%28x%2B9%29%5E2%2B%28y%2B2%29%5E2=1%29\" .
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