document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1000242>Question 1000242</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with this question, I keep coming up with the wrong answers.\r<BR>\n" );
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document.write( "The equation of the ellipse that has a center at (8,2) , a focus at (11,2) , and a vertex at (13,2) , is <BR>\n" );
document.write( "(x&#8722;C)^2/ A^2  +(y&#8722;D)^2/ B^2  =1 <BR>\n" );
document.write( " where <BR>\n" );
document.write( "A=  4      <BR>\n" );
document.write( "B= 6       <BR>\n" );
document.write( "C= 8       <BR>\n" );
document.write( "D= 2 \r<BR>\n" );
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document.write( "2. The equation of the ellipse that has a center at (1,5) , a focus at (5,5) , and a vertex at (&#8722;4,5) , is <BR>\n" );
document.write( "(x&#8722;C)^ 2/ A^2 +(y&#8722;D)^2/ B ^2  =1 <BR>\n" );
document.write( " where <BR>\n" );
document.write( "A= 5       <BR>\n" );
document.write( "B= 4       <BR>\n" );
document.write( "C= 1       <BR>\n" );
document.write( "D= 5  \r<BR>\n" );
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document.write( "      </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #617727 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=617727\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Difficult to make the right kind of drawing here, but try making a sketch of the ellipse as described.\r<BR>\n" );
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document.write( "Distance from center (8,2) to a vertex (13,2) is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=13-8=5 ALIGN=MIDDLE  ALT=\"A=13-8=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28A=5%29 ALIGN=MIDDLE  ALT=\"highlight%28A=5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Use the variable C as the distance from the center to either focus.  Your exercise description<BR>\n" );
document.write( "will mean that you have C=3.\r<BR>\n" );
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document.write( "You want to find B.  The fact relating A, B, and C using C as the distance from center<BR>\n" );
document.write( "to either focus, is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%5E2%2BC%5E2=A%5E2 ALIGN=MIDDLE  ALT=\"B%5E2%2BC%5E2=A%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, giving <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%5E2=A%5E2-C2 ALIGN=MIDDLE  ALT=\"B%5E2=A%5E2-C2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Evaluate the value for B^2.<BR>\n" );
document.write( "-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%5E2=A%5E2-C%5E2 ALIGN=MIDDLE  ALT=\"B%5E2=A%5E2-C%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%5E2=5%5E2-3%5E2 ALIGN=MIDDLE  ALT=\"B%5E2=5%5E2-3%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%5E2=25-9 ALIGN=MIDDLE  ALT=\"B%5E2=25-9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28B%5E2=16%29 ALIGN=MIDDLE  ALT=\"highlight%28B%5E2=16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The standard form equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28Y-k%29%5E2%2FB%5E2%2B%28X-h%29%5E2%2FA%5E2=1 ALIGN=MIDDLE  ALT=\"%28Y-k%29%5E2%2FB%5E2%2B%28X-h%29%5E2%2FA%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >  can now be filled-in, giving you<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight%28%28X-8%29%5E2%2F25%2B%28Y-2%29%5E2%2F16=1%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%28%28X-8%29%5E2%2F25%2B%28Y-2%29%5E2%2F16=1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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