document.write( "Question 550406: Find the equation of the circle concentric with the circle x2+y2+6x-10y+33=0 and touching the line y-0 \n" ); document.write( "

Algebra.Com's Answer #358712 by Alan3354(69443) $\"\"$ $\"About$

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Find the equation of the circle concentric with the circle x2+y2+6x-10y+33=0 and touching the line y-0
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\n" ); document.write( "I think you mean y=0
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\n" ); document.write( "Find the center of the circles.
\n" ); document.write( "x2+y2+6x-10y+33=0
\n" ); document.write( "Complete the squares for x and y
\n" ); document.write( "x2+y2+6x-10y = -33
\n" ); document.write( " $\"x%5E2+%2B+6x+%2B+9+%2B+y%5E2+-+10y+%2B+25+=+-33+%2B+9+%2B+25+=+1\"$
\n" ); document.write( " $\"%28x%2B3%29%5E2+%2B+%28y-5%29%5E2+=+1\"$
\n" ); document.write( "The center is (-3,5)
\n" ); document.write( "The distance to y = 0 (the x-axis) is 5.
\n" ); document.write( "--> $\"%28x%2B3%29%5E2+%2B+%28y-5%29%5E2+=+25\"$
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