document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=630713>Question 630713</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the eccentricity of the ellipse to find the equation in the standard form. From the information, Foci (0,-3), (0,3) with eccentricity 1/9 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #397089 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=397089\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the eccentricity of the ellipse to find the equation in the standard form. From the information, Foci (0,-3), (0,3) with eccentricity 1/9<BR>\n" );
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document.write( "This is an ellipse with a vertical major axis<BR>\n" );
document.write( "Its standard form of equation: (x-h)^2/b^2+(y-k)^2/a^2=1, a>b, (h,k)=(x,y) coordinates of center<BR>\n" );
document.write( "For given ellipse;<BR>\n" );
document.write( "center:(0,0)<BR>\n" );
document.write( "Foci:<BR>\n" );
document.write( "c=3<BR>\n" );
document.write( "c^2=9<BR>\n" );
document.write( "Eccentricity=c/a=1/9<BR>\n" );
document.write( "a=9c=27<BR>\n" );
document.write( "a^2=27^2=729<BR>\n" );
document.write( "c^2=a^2-b^2<BR>\n" );
document.write( "b^2=a^2-c^2=729-9=720<BR>\n" );
document.write( "equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F720%2By%5E2%2F729=1 ALIGN=MIDDLE  ALT=\"x%5E2%2F720%2By%5E2%2F729=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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