document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=995162>Question 995162</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help me find the equation of a circle passing through points (6,0) and (24,0) and is a tangent to the y-axis </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #613970 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=613970\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Help me find the equation of a circle passing through points (6,0) and (24,0) and is a tangent to the y-axis<BR>\n" );
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document.write( "Label the points A(6,0) and B(24,0)<BR>\n" );
document.write( "The center of the circle, point C, is on the perpendicular bisector of AB, which is x = 15<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Tangent to the y-axis makes the radius 15.<BR>\n" );
document.write( "The distance from A and B to the center is also 15.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AC+=+sqrt%28diffy%5E2+%2B+diffx%5E2%29+=+sqrt%28%28y-0%29%5E2+%2B+9%5E2%29+=+15 ALIGN=MIDDLE  ALT=\"AC+=+sqrt%28diffy%5E2+%2B+diffx%5E2%29+=+sqrt%28%28y-0%29%5E2+%2B+9%5E2%29+=+15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2+%2B+81+=+225 ALIGN=MIDDLE  ALT=\"y%5E2+%2B+81+=+225\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = 12<BR>\n" );
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document.write( "Center at (15,12) and (15,-12) (there are 2 circles)<BR>\n" );
document.write( "(15,12) --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-15%29%5E2+%2B+%28y-12%29%5E2+=+15%5E2 ALIGN=MIDDLE  ALT=\"%28x-15%29%5E2+%2B+%28y-12%29%5E2+=+15%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(15,-12) --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-15%29%5E2+%2B+%28y%2B12%29%5E2+=+15%5E2 ALIGN=MIDDLE  ALT=\"%28x-15%29%5E2+%2B+%28y%2B12%29%5E2+=+15%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );