document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=113833>Question 113833</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the ellipse with vertices (5,1) and (-3,1) and foci (3,1) and (-1,1). <BR>\n" );
document.write( "Someone please help!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #82991 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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/cgi-bin/show-face.mpl?user=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=82991\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the general equation for an ellipse is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28x-h%29%5E2%29%2Fa%5E2%29%2B%28%28%28y-k%29%5E2%29%2Fb%5E2%29=1 ALIGN=MIDDLE  ALT=\"%28%28%28x-h%29%5E2%29%2Fa%5E2%29%2B%28%28%28y-k%29%5E2%29%2Fb%5E2%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "this is an ellipse with a semimajor axis a and semiminor axis b, centered at the point (h,k)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "if c is the distance from the center to a focus, then b^2=a^2-c^2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the center is midway between the foci (1,1)<BR>\n" );
document.write( "___ a is the distance from center to vertex 4<BR>\n" );
document.write( "___ c=2, so b^2=(4^2-2^2) ___ b^2=12\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28%28x-1%29%5E2%29%2F16%29%2B%28%28%28y-1%29%5E2%29%2F12%29=1 ALIGN=MIDDLE  ALT=\"%28%28%28x-1%29%5E2%29%2F16%29%2B%28%28%28y-1%29%5E2%29%2F12%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );