document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1086317>Question 1086317</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the center and radius of a circle circumscribing a triangle with the vertices (-2,-4) (-2,3), (5,2)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #700496 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=700496\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> So let (h,k) be the center of the circle.<BR>\n" );
document.write( "Using the first and second points,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28h%2B2%29%5E2%2B%28k%2B4%29%5E2=R%5E2=%28h%2B2%29%5E2%2B%28k-3%29%5E2 ALIGN=MIDDLE  ALT=\"%28h%2B2%29%5E2%2B%28k%2B4%29%5E2=R%5E2=%28h%2B2%29%5E2%2B%28k-3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28k%2B4%29%5E2=%28k-3%29%5E2 ALIGN=MIDDLE  ALT=\"%28k%2B4%29%5E2=%28k-3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%5E2%2B8k%2B16=k%5E2-6k%2B9 ALIGN=MIDDLE  ALT=\"k%5E2%2B8k%2B16=k%5E2-6k%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14k=-7 ALIGN=MIDDLE  ALT=\"14k=-7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=-1%2F2 ALIGN=MIDDLE  ALT=\"k=-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
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document.write( "Using the second and third points,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28h%2B2%29%5E2%2B+%28-1%2F2-3%29%5E2+=%28h-5%29%5E2%2B+%28-1%2F2-2%29%5E2+ ALIGN=MIDDLE  ALT=\"%28h%2B2%29%5E2%2B+%28-1%2F2-3%29%5E2+=%28h-5%29%5E2%2B+%28-1%2F2-2%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5E2%2B4h%2B4%2B49%2F4=h%5E2-10h%2B25%2B25%2F4 ALIGN=MIDDLE  ALT=\"h%5E2%2B4h%2B4%2B49%2F4=h%5E2-10h%2B25%2B25%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14h=+25%2B25%2F4-49%2F4-4+ ALIGN=MIDDLE  ALT=\"14h=+25%2B25%2F4-49%2F4-4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14h=+15+ ALIGN=MIDDLE  ALT=\"14h=+15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=15%2F14 ALIGN=MIDDLE  ALT=\"h=15%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now that you have the center, find the distance between the center and any of the points.<BR>\n" );
document.write( "That'll be the radius of the circle.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5E2=%285-15%2F14%29%5E2%2B%282-%28-1%2F2%29%29%5E2 ALIGN=MIDDLE  ALT=\"R%5E2=%285-15%2F14%29%5E2%2B%282-%28-1%2F2%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5E2=%28%2870-15%29%2F14%29%5E2%2B%285%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"R%5E2=%28%2870-15%29%2F14%29%5E2%2B%285%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5E2=3025%2F196%2B25%2F4 ALIGN=MIDDLE  ALT=\"R%5E2=3025%2F196%2B25%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5E2=3025%2F196%2B1225%2F196 ALIGN=MIDDLE  ALT=\"R%5E2=3025%2F196%2B1225%2F196\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5E2=4250%2F196 ALIGN=MIDDLE  ALT=\"R%5E2=4250%2F196\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5E2=+2125%2F98+ ALIGN=MIDDLE  ALT=\"R%5E2=+2125%2F98+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-15%2F14%29%5E2%2B%28y%2B1%2F2%29%5E2=2125%2F98+ ALIGN=MIDDLE  ALT=\"%28x-15%2F14%29%5E2%2B%28y%2B1%2F2%29%5E2=2125%2F98+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=Fombitz&illustration_name=cf2.JPG\">.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );