document.write( "Question 932999: Find the standard equations of the circles that have centers on the line 5x – 2y = -21 and are tangent to both coordinate axes. \n" ); document.write( "

Algebra.Com's Answer #566527 by Alan3354(69443) $\"\"$ $\"About$

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Find the standard equations of the circles that have centers on the line 5x – 2y = -21 and are tangent to both coordinate axes.
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\n" ); document.write( "The center has to be equidistant from the x & y axes --> |x| = |y|
\n" ); document.write( "For x = y:
\n" ); document.write( "5x – 2y = -21
\n" ); document.write( "y = 5x/2 + 21/2
\n" ); document.write( "---
\n" ); document.write( "y = x
\n" ); document.write( "x = 5x/2 + 21/2
\n" ); document.write( "x = -7, y = -7
\n" ); document.write( "The circle is $\"%28x%2B7%29%5E2+%2B+%28y%2B7%29%5E2+=+49\"$
\n" ); document.write( "======================
\n" ); document.write( "For x = -y\"
\n" ); document.write( "5x – 2y = -21
\n" ); document.write( "y = 5x/2 + 21/2
\n" ); document.write( "---
\n" ); document.write( "y = -x
\n" ); document.write( "-x = 5x/2 + 21/2
\n" ); document.write( "x = -3, y = 3
\n" ); document.write( "The circle is $\"%28x%2B3%29%5E2+%2B+%28y-3%29%5E2+=+9\"$
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