document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=553750>Question 553750</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write an equation for an ellipse with major axis of length 12 and foci at(7,2) and (1,2). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #361099 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=361099\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write an equation for an ellipse with major axis of length 12 and foci at(7,2) and (1,2).<BR>\n" );
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document.write( "Based on given foci, equation is that of an ellipse with horizontal major axis: Its standard form:<BR>\n" );
document.write( "(x-h)^2/a^2+(y-k)^2/b^2=1<BR>\n" );
document.write( "For given equation:<BR>\n" );
document.write( "center: (4,2)<BR>\n" );
document.write( "given length of major axis=12=2a<BR>\n" );
document.write( "a=6<BR>\n" );
document.write( "a^2=36<BR>\n" );
document.write( "..<BR>\n" );
document.write( "c=4 (distance from center to focus on horizontal major axis)<BR>\n" );
document.write( "c^2=a^2-b^2<BR>\n" );
document.write( "b^2=a^2-c^2=36-16=20<BR>\n" );
document.write( "Equation of given ellipse:<BR>\n" );
document.write( "(x-4)^2/36+(y-2)^2/20=1 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );