document.write( "Question 604360: Write an equation of a circle tangent to the lines x=2 and x=12 and passes through the point (4,0)\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #381125 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Write an equation of a circle tangent to the lines x=2 and x=12 and passes through the point (4,0)
\n" ); document.write( "----
\n" ); document.write( "Draw the 2 vertical lines: x = 2 and x = 12
\n" ); document.write( "Plot the point (4,0)
\n" ); document.write( "The lines implie the diameter is 10 (radius = 5).
\n" ); document.write( "The center is at (7,k)
\n" ); document.write( "-----
\n" ); document.write( "Equation:
\n" ); document.write( "(x-7)^2 + (y-k)^2 = 5^2
\n" ); document.write( "Solve for \"k\" using (4,0) as a point on the circle:
\n" ); document.write( "(4-7)^2 + (0-k)^2 = 25
\n" ); document.write( "9 + k^2 = 25
\n" ); document.write( "k^2 = 16
\n" ); document.write( "k = 4
\n" ); document.write( "-----------------
\n" ); document.write( "Equation:
\n" ); document.write( "(x-7)^2 + (y-4)^2 = 25
\n" ); document.write( "=========================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "=========================
\n" ); document.write( "
\n" );