document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=693660>Question 693660</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation of the ellipse that has center  (1,3) , a major axis of length 12 , and endpoint of minor axis  (0,3) . </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #427551 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=427551\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find an equation of the ellipse that has center (1,3) , a major axis of length 12 , and endpoint of minor axis (0,3) .<BR>\n" );
document.write( "**<BR>\n" );
document.write( "Standard form of equation for an ellipse with vertical major axis: <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( "given center: (1,3)<BR>\n" );
document.write( "given length of vertical major axis:=12=2a<BR>\n" );
document.write( "a=6<BR>\n" );
document.write( "a^2=36<BR>\n" );
document.write( "length of minor axis=6=2b<BR>\n" );
document.write( "b=3<BR>\n" );
document.write( "b^2=9<BR>\n" );
document.write( "equation of given ellipse:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%5E2%2F9%2B%28y-3%29%5E2%2F36=1 ALIGN=MIDDLE  ALT=\"%28x-1%29%5E2%2F9%2B%28y-3%29%5E2%2F36=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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