document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=9377>Question 9377</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My friend and I think that the answer to this problem is wrong and we would like a second opinion.  There are actually two problems, but I will post it on another seperate page.  Its and elipse problem.  It reads -\r<BR>\n" );
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document.write( "Graph the ellipse and find the foci.  Here is the equation - (9x^2)+(4y^2)= 9\r<BR>\n" );
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document.write( "Our disagreement is over the coordinates in which the foci are located?\r<BR>\n" );
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document.write( "Could you please help us?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #5101 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=5101\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9+x%5E2+%2B+4+y%5E2+=+9 ALIGN=MIDDLE  ALT=\"+9+x%5E2+%2B+4+y%5E2+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
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document.write( "Divide both sides by 9:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+%284y%5E2%29%2F9+=+1 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+%284y%5E2%29%2F9+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Rewrite this as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%29%2F1+%2B+%28y%5E2%29%2F%289%2F4%29+=+1 ALIGN=MIDDLE  ALT=\"%28x%5E2%29%2F1+%2B+%28y%5E2%29%2F%289%2F4%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The center of the ellipse is at (0,0), and the radius in the x direction is 1, the radius in the y direction is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F2 ALIGN=MIDDLE  ALT=\"3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Therefore the major axis is in the Y-direction, and the foci will be on the y-axis at (0, c) and (0, -c), where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%5E2+%2B+c%5E2+=+%283%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"1%5E2+%2B+c%5E2+=+%283%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solve for c:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+%2B+c%5E2+=+9%2F4 ALIGN=MIDDLE  ALT=\"1+%2B+c%5E2+=+9%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2+=+9%2F4+-+1 ALIGN=MIDDLE  ALT=\"c%5E2+=+9%2F4+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2+=+5%2F4 ALIGN=MIDDLE  ALT=\"c%5E2+=+5%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=++%28sqrt%285%29%29%2F2+ ALIGN=MIDDLE  ALT=\"c+=++%28sqrt%285%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+-+%28sqrt%285%29%29%2F2 ALIGN=MIDDLE  ALT=\"c+=+-+%28sqrt%285%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore, I have the foci at ( 0, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%285%29%29%2F2++ ALIGN=MIDDLE  ALT=\"%28sqrt%285%29%29%2F2++\"   DISABLED_style= \"max-width:90%; height:auto;\" >) and ( 0,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-%28sqrt%285%29%29%2F2++ ALIGN=MIDDLE  ALT=\"+-%28sqrt%285%29%29%2F2++\"   DISABLED_style= \"max-width:90%; height:auto;\" >).\r<BR>\n" );
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document.write( "R^2 at SCC </SPAN>\n" );
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