document.write( "Question 1042661: Hello,\r
\n" ); document.write( "\n" ); document.write( "I need help with the following math problem:\r
\n" ); document.write( "\n" ); document.write( "The points (0,4) and (1,3) lie on a circle whose center is on the \"+x+\"-axis. What is the radius of the circle?\r
\n" ); document.write( "\n" ); document.write( "Thank you,
\n" ); document.write( "Nicole
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Algebra.Com's Answer #657669 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Use the general equation of a circle centered at (x,0) and use the two points.
\n" ); document.write( "\"%28x-0%29%5E2%2B%280-4%29%5E2=R%5E2\"
\n" ); document.write( "\"x%5E2%2B16=R%5E2\"
\n" ); document.write( "and
\n" ); document.write( "\"%28x-1%29%5E2%2B%280-3%29%5E2=R%5E2\"
\n" ); document.write( "\"%28x-1%29%5E2%2B9=R%5E2\"
\n" ); document.write( "Set them equal to each other,
\n" ); document.write( "\"x%5E2%2B16=%28x-1%29%5E2%2B9\"
\n" ); document.write( "\"x%5E2%2B16=x%5E2-2x%2B1%2B9\"
\n" ); document.write( "\"-2x%2B10=16\"
\n" ); document.write( "\"-2x=6\"
\n" ); document.write( "\"x=-3\"
\n" ); document.write( "Then solve for R,
\n" ); document.write( "\"%28-3%29%5E2%2B16=R%5E2\"
\n" ); document.write( "\"R%5E2=9%2B16\"
\n" ); document.write( "\"R%5E2=25\"
\n" ); document.write( "\"R=5\"
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