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
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Algebra.Com's Answer #381125 by stanbon(75887) ![]() 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( " |