document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=959207>Question 959207</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the equation of a circle with center on the line x-y=5 and tangent to both coordinate axis. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #586302 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=586302\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A circle tangent to both coordinate axes has one of these forms,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-R%29%5E2%2B%28y-R%29%5E2=R%5E2 ALIGN=MIDDLE  ALT=\"%28x-R%29%5E2%2B%28y-R%29%5E2=R%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2BR%29%5E2%2B%28y-R%29%5E2=R%5E2 ALIGN=MIDDLE  ALT=\"%28x%2BR%29%5E2%2B%28y-R%29%5E2=R%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-R%29%5E2%2B%28y%2BR%29%5E2=R%5E2 ALIGN=MIDDLE  ALT=\"%28x-R%29%5E2%2B%28y%2BR%29%5E2=R%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2BR%29%5E2%2B%28y%2BR%29%5E2=R%5E2 ALIGN=MIDDLE  ALT=\"%28x%2BR%29%5E2%2B%28y%2BR%29%5E2=R%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The center of these circles lie on either the line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x ALIGN=MIDDLE  ALT=\"y=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-x ALIGN=MIDDLE  ALT=\"y=-x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-6%2C6%2C-6%2C6%2Cgrid%281%29%2Ccircle%283%2C3%2C3%29%2Ccircle%283%2C-3%2C3%29%2Ccircle%28-3%2C3%2C3%29%2Ccircle%28-3%2C-3%2C3%29%2Cgraph%28300%2C300%2C-6%2C6%2C-6%2C6%2Cx%2C-x%2Cx-5%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The blue line is a graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-y=5 ALIGN=MIDDLE  ALT=\"x-y=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The intersection of the green line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-x ALIGN=MIDDLE  ALT=\"y=-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the blue line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x-5 ALIGN=MIDDLE  ALT=\"y=x-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > are the circle's center.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-h=h-5 ALIGN=MIDDLE  ALT=\"-h=h-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2h=-5 ALIGN=MIDDLE  ALT=\"-2h=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=5%2F2 ALIGN=MIDDLE  ALT=\"h=5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=-5%2F2 ALIGN=MIDDLE  ALT=\"k=-5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R=5%2F2 ALIGN=MIDDLE  ALT=\"R=5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-5%2F2%29%5E2%2B%28y%2B5%2F2%29%5E2=%285%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"%28x-5%2F2%29%5E2%2B%28y%2B5%2F2%29%5E2=%285%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " .<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-6%2C6%2C-6%2C6%2Cgrid%281%29%2Ccircle%285%2F2%2C-5%2F2%2C5%2F2%29%2Cgraph%28300%2C300%2C-6%2C6%2C-6%2C6%2Cx%2C-x%2Cx-5%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );