document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1023160>Question 1023160</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the standard form of an ellipse given the following.\\r<BR>\n" );
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document.write( "Vertices: (-2,16) and (-2,-6)<BR>\n" );
document.write( "Foci: (-2,5+sqrt(57)) and (-2,5-sqrt(57)) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #638689 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=638689\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The center of the ellipse would be (-2,5).  The semi-major axis is a = 11 (=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2816--6%29%2F2+ ALIGN=MIDDLE  ALT=\"%2816--6%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >).  The focal length is c = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2Bsqrt%2857%29%29+-+5+=+sqrt%2857%29 ALIGN=MIDDLE  ALT=\"%285%2Bsqrt%2857%29%29+-+5+=+sqrt%2857%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2+=+a%5E2+-+c%5E2+=+11%5E2+-+%28sqrt%2857%29%29%5E2+=+121-57+=+65 ALIGN=MIDDLE  ALT=\"b%5E2+=+a%5E2+-+c%5E2+=+11%5E2+-+%28sqrt%2857%29%29%5E2+=+121-57+=+65\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "==> the standard form is <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;\" >, or\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28x%2B2%29%5E2%2F65%2B%28y-5%29%5E2%2F121+=+1%29 ALIGN=MIDDLE  ALT=\"highlight%28%28x%2B2%29%5E2%2F65%2B%28y-5%29%5E2%2F121+=+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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