document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=750461>Question 750461</A>: <I><SPAN STYLE=\"word-break: break-all;\"> this problem is confusing me..... An ellipse has a co-vertices at (4,0) and (-4,0) and foci (0,3) and (0,-3). Find the equation that can be used to describe this ellipse.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #456585 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=456585\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An ellipse has a co-vertices at (4,0) and (-4,0) and foci (0,3) and (0,-3). Find the equation that can be used to describe this ellipse.<BR>\n" );
document.write( "***<BR>\n" );
document.write( "Given data shows ellipse has a vertical major axis: (y-coordinates of foci change but x-coordinates do not), but following calculations show it to be a horizontal major axis. Given data for foci should be (3,0) and (-3,0), and for co-vertices, (0,4) and (0,-4)<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%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%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: (0,0)<BR>\n" );
document.write( "b=4 (distance from center to co-vertices)<BR>\n" );
document.write( "b^2=16<BR>\n" );
document.write( "c=3 (distance from center to foci)<BR>\n" );
document.write( "c^2=9<BR>\n" );
document.write( "c^2=a^2-b^2<BR>\n" );
document.write( "a^2=c^2+b^2=9+16=25<BR>\n" );
document.write( "a=5<BR>\n" );
document.write( "Equation of given ellipse:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F25%2By%5E2%2F16=1 ALIGN=MIDDLE  ALT=\"x%5E2%2F25%2By%5E2%2F16=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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