document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=543016>Question 543016</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write an equation in standard form for the ellipse with center (0, 0), co-vertex (10, 0) and focus (0, 24).  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #362166 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=362166\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write an equation in standard form for the ellipse with center (0, 0), co-vertex (10, 0) and focus (0, 24).<BR>\n" );
document.write( "**<BR>\n" );
document.write( "Standard form of equation for an ellipse with vertical major axis:<BR>\n" );
document.write( "(x-h)^2/b^2+(y-k)^2/a^2=1, a>b, (h,k) being the (x,y) coordinates of the center.<BR>\n" );
document.write( "For given equation:<BR>\n" );
document.write( "center: (0,0)<BR>\n" );
document.write( "length of co-vertex=20=2b<BR>\n" );
document.write( "b=10<BR>\n" );
document.write( "b^2=100<BR>\n" );
document.write( "c=24 (distance from center to focus)<BR>\n" );
document.write( "c^2=24^2=576<BR>\n" );
document.write( "c^2=a^2-b^2<BR>\n" );
document.write( "a^2=c^2-b^2=576-100=476<BR>\n" );
document.write( "Equation of given ellipse:<BR>\n" );
document.write( "x^2/100+y^2/476=1 </SPAN>\n" );
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