document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1026004>Question 1026004</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Directions: Find the equation of a circle satisfying the conditions given, then sketch its graph:\r<BR>\n" );
document.write( "\n" );
document.write( "Problem: Center at (-8,3), graph contains the point (-3,15) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #641268 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=641268\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Equation is of the form <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large (x+8)^2 + (y-3)^2 = r^2\"> where r is the radius of the circle.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "We know that (-8,3) -- (-3,15) is a radius, so to find r (or r^2), we use the distance formula:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large r^2 = (-8 - (-3))^2 + (3 - 15)^2 = (-5)^2 + (-12)^2 = 13^2 = 169\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the equation of the circle is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large (x+8)^2 + (y-3)^2 = 169\">. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );