document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=534153>Question 534153</A>: <I><SPAN STYLE=\"word-break: break-all;\"> determine the equation of the circle whose center is at (4,5) and tangent to the circle whose equation is x^2+y^2+4x+6y-23=0. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #351328 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=351328\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> determine the equation of the circle whose center is at (4,5) and tangent to the circle whose equation is x^2+y^2+4x+6y-23=0<BR>\n" );
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document.write( "Find the center of x^2+y^2+4x+6y-23=0<BR>\n" );
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document.write( "x^2+y^2+4x+6y = 23<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+4x+%2B+4+%2B+y%5E2+%2B+6y+%2B+9+=+23+%2B+4+%2B+9+=+36 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+4x+%2B+4+%2B+y%5E2+%2B+6y+%2B+9+=+23+%2B+4+%2B+9+=+36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%5E2+%2B+%28y%2B3%29%5E2+=+6%5E2 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%5E2+%2B+%28y%2B3%29%5E2+=+6%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Center at (-2,-3), r = 6<BR>\n" );
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document.write( "Find the distance from the center to (4,5)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+sqrt%28diffy%5E2+%2B+diffx%5E2%29+=+sqrt%288%5E2+%2B+6%5E2%29+=+10 ALIGN=MIDDLE  ALT=\"d+=+sqrt%28diffy%5E2+%2B+diffx%5E2%29+=+sqrt%288%5E2+%2B+6%5E2%29+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The radius of the 2nd circle is 4, 10-6<BR>\n" );
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document.write( "--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-4%29%5E2+%2B+%28y-5%29%5E2+=+16 ALIGN=MIDDLE  ALT=\"%28x-4%29%5E2+%2B+%28y-5%29%5E2+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
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