document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=684975>Question 684975</A>: <I><SPAN STYLE=\"word-break: break-all;\"> E is the ellipse with foci at (4,-2) and (4,8) and whose major axis has length of 20\r<BR>\n" );
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document.write( "Find an equation for the indicated conic section  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #424503 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=424503\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> E is the ellipse with foci at (4,-2) and (4,8) and whose major axis has length of 20 <BR>\n" );
document.write( "Find an equation for the indicated conic section<BR>\n" );
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document.write( "This is an ellipse with vertical major axis.<BR>\n" );
document.write( "Its standard form of equation:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, a>b, (h,k)=(x,y) coordinates of center<BR>\n" );
document.write( "For given ellipse:<BR>\n" );
document.write( "center: (4,3)<BR>\n" );
document.write( "given length of vertical major axis=20=2a<BR>\n" );
document.write( "a=10<BR>\n" );
document.write( "a^2=100<BR>\n" );
document.write( "c=5 (distance from center to foci)<BR>\n" );
document.write( "c^2=25<BR>\n" );
document.write( "c^2=a^2-b^2<BR>\n" );
document.write( "b^2=a^2-c^2=100-25=75<BR>\n" );
document.write( "Equation of given ellipse: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-4%29%5E2%2F75%2B%28y-3%29%5E2%2F100=1 ALIGN=MIDDLE  ALT=\"%28x-4%29%5E2%2F75%2B%28y-3%29%5E2%2F100=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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