document.write( "Question 1085055: find equation of the circle that satisfies the given condition
\n" ); document.write( "A. tangent 3x-4y=10 and center at c(0,5)
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Algebra.Com's Answer #699077 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Find the perpendicular line that contains the center.
\n" ); document.write( "\"4y=3x-10\"
\n" ); document.write( "\"y=%283%2F4%29x-5%2F2\"
\n" ); document.write( "Perpendicular lines have slopes that are negative reciprocals,
\n" ); document.write( "\"%283%2F4%29m%5B2%5D=-1\"
\n" ); document.write( "\"m%5B2%5D=-4%2F3\"
\n" ); document.write( "Use the point slope form of a line,
\n" ); document.write( "\"y-5=-%284%2F3%29%28x-0%29\"
\n" ); document.write( "\"y=-%284%2F3%29x%2B5\"
\n" ); document.write( "Find the intersection point of the two lines,
\n" ); document.write( "\"+%283%2F4%29x-5%2F2=-%284%2F3%29x%2B5+\"
\n" ); document.write( "\"9x-30=-16x%2B60\"
\n" ); document.write( "\"25x=90\"
\n" ); document.write( "\"x=18%2F5\"
\n" ); document.write( "So then,
\n" ); document.write( "\"3%2818%2F5%29-4y=10\"
\n" ); document.write( "\"54-20y=50\"
\n" ); document.write( "\"-20y=-4\"
\n" ); document.write( "\"y=1%2F5\"
\n" ); document.write( "Use the distance formula to find the distance between the two points (the radius of the circle),
\n" ); document.write( "\"R%5E2=%2818%2F5-0%29%5E2%2B%281%2F5-5%29%5E2\"
\n" ); document.write( "\"R%5E2=36%2F25%2B%28-24%2F5%29%5E2\"
\n" ); document.write( "\"R%5E2=324%2F25%2B576%2F25\"
\n" ); document.write( "\"R%5E2=900%2F25\"
\n" ); document.write( "\"R%5E2=36\"
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\n" ); document.write( "\"%28x-0%29%5E2%2B%28y-5%29%5E2=4\"
\n" ); document.write( "\"highlight%28x%5E2%2B%28y-5%29%5E2=36%29\"
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