document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1181167>Question 1181167</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dearest Sir,\r<BR>\n" );
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document.write( "Please, I need your help about this problem. Help me solve it and also please show your solution.\r<BR>\n" );
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document.write( "Convert the general equation 9𝑥2 + 16𝑦2 − 54𝑥 − 64𝑦 + 1 = 0 to standard form. Sketch and determine the parts of an ellipse.\r<BR>\n" );
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document.write( "Solve the value of a, b, and c.\r<BR>\n" );
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document.write( "Parts of an Ellipse \r<BR>\n" );
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document.write( "1. Center<BR>\n" );
document.write( "2. Foci <BR>\n" );
document.write( "𝐹1<BR>\n" );
document.write( "𝐹2<BR>\n" );
document.write( "3. Vertices <BR>\n" );
document.write( "𝑉1<BR>\n" );
document.write( "𝑉2<BR>\n" );
document.write( "4. Co-vertices <BR>\n" );
document.write( "𝐵1<BR>\n" );
document.write( "𝐵2<BR>\n" );
document.write( "5. Endpoints of Latus Rectum<BR>\n" );
document.write( "𝐸1<BR>\n" );
document.write( "𝐸2<BR>\n" );
document.write( "𝐸3<BR>\n" );
document.write( "𝐸4<BR>\n" );
document.write( "6. Directrices\r<BR>\n" );
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document.write( "7. Eccentricity<BR>\n" );
document.write( "8. Length of LR<BR>\n" );
document.write( "9. Length of Major Axis<BR>\n" );
document.write( "10.Length of Minor Axis\r<BR>\n" );
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document.write( "Thank a lot and God bless you.\r<BR>\n" );
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document.write( "Sincerely yours,\r<BR>\n" );
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document.write( "Lorna </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #811024 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=811024\">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=9x%5E2+%2B+16y%5E2+-54x+-+64y+%2B+1+=+0 ALIGN=MIDDLE  ALT=\"9x%5E2+%2B+16y%5E2+-54x+-+64y+%2B+1+=+0\"   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=%289x%5E2-54x%29+%2B+%2816y%5E2++-+64y%29+=-1 ALIGN=MIDDLE  ALT=\"%289x%5E2-54x%29+%2B+%2816y%5E2++-+64y%29+=-1\"   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=9%28x%5E2-6x%29+%2B16+%28y%5E2++-+4y%29+=-1 ALIGN=MIDDLE  ALT=\"9%28x%5E2-6x%29+%2B16+%28y%5E2++-+4y%29+=-1\"   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=9%28x%5E2-6x%2Bb%5E2%29+-9b%5E2%2B16+%28y%5E2++-+4y%2Bb%5E2%29+-16b%5E2=-1 ALIGN=MIDDLE  ALT=\"9%28x%5E2-6x%2Bb%5E2%29+-9b%5E2%2B16+%28y%5E2++-+4y%2Bb%5E2%29+-16b%5E2=-1\"   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=9%28x%5E2-6x%2B3%5E2%29+-9%2A3%5E2%2B16+%28y%5E2++-+4y%2B2%5E2%29+-16%2A2%5E2=-1 ALIGN=MIDDLE  ALT=\"9%28x%5E2-6x%2B3%5E2%29+-9%2A3%5E2%2B16+%28y%5E2++-+4y%2B2%5E2%29+-16%2A2%5E2=-1\"   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=9%28x-3%29%5E2+-81%2B16+%28y+-+2%29%5E2+-64=-1 ALIGN=MIDDLE  ALT=\"9%28x-3%29%5E2+-81%2B16+%28y+-+2%29%5E2+-64=-1\"   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=9%28x-3%29%5E2+%2B16+%28y+-+2%29%5E2+-145=-1 ALIGN=MIDDLE  ALT=\"9%28x-3%29%5E2+%2B16+%28y+-+2%29%5E2+-145=-1\"   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=9%28x-3%29%5E2+%2B16+%28y+-+2%29%5E2+=145-1 ALIGN=MIDDLE  ALT=\"9%28x-3%29%5E2+%2B16+%28y+-+2%29%5E2+=145-1\"   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=9%28x-3%29%5E2+%2B16+%28y+-+2%29%5E2+=144 ALIGN=MIDDLE  ALT=\"9%28x-3%29%5E2+%2B16+%28y+-+2%29%5E2+=144\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........both sides divide by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=144 ALIGN=MIDDLE  ALT=\"144\"   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=9%28x-3%29%5E2%2F144+%2B16+%28y+-+2%29%5E2%2F144+=144%2F144 ALIGN=MIDDLE  ALT=\"9%28x-3%29%5E2%2F144+%2B16+%28y+-+2%29%5E2%2F144+=144%2F144\"   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=%28x-3%29%5E2%2F16+%2B+%28y+-+2%29%5E2%2F9+=1 ALIGN=MIDDLE  ALT=\"%28x-3%29%5E2%2F16+%2B+%28y+-+2%29%5E2%2F9+=1\"   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=h=3 ALIGN=MIDDLE  ALT=\"h=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=2 ALIGN=MIDDLE  ALT=\"k=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=sqrt%2816%29 ALIGN=MIDDLE  ALT=\"a=sqrt%2816%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=4 ALIGN=MIDDLE  ALT=\"a=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=sqrt%289%29 ALIGN=MIDDLE  ALT=\"b=sqrt%289%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=3 ALIGN=MIDDLE  ALT=\"b=3\"   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=a%3Eb ALIGN=MIDDLE  ALT=\"a%3Eb\"   DISABLED_style= \"max-width:90%; height:auto;\" >therefore <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > is semi-major axis and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > is semi-minor axis \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=sqrt%28a%5E2-b%5E2%29 ALIGN=MIDDLE  ALT=\"c=sqrt%28a%5E2-b%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=sqrt%284%5E2-3%5E2%29 ALIGN=MIDDLE  ALT=\"c=sqrt%284%5E2-3%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=sqrt%287%29 ALIGN=MIDDLE  ALT=\"c=sqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "1. Center: (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "2. Foci:  (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%2Bc ALIGN=MIDDLE  ALT=\"h%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k ALIGN=MIDDLE  ALT=\"k\"   DISABLED_style= \"max-width:90%; height:auto;\" > ), (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h-c ALIGN=MIDDLE  ALT=\"h-c\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k ALIGN=MIDDLE  ALT=\"k\"   DISABLED_style= \"max-width:90%; height:auto;\" > )\r<BR>\n" );
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document.write( "F1 (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Bsqrt%287%29 ALIGN=MIDDLE  ALT=\"3%2Bsqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ), (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3-sqrt%287%29 ALIGN=MIDDLE  ALT=\"3-sqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > )<BR>\n" );
document.write( "F2 (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.7 ALIGN=MIDDLE  ALT=\"5.7\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ), (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-0.4 ALIGN=MIDDLE  ALT=\"-0.4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > )\r<BR>\n" );
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document.write( "3. Vertices: (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%2Ba ALIGN=MIDDLE  ALT=\"h%2Ba\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k ALIGN=MIDDLE  ALT=\"k\"   DISABLED_style= \"max-width:90%; height:auto;\" >), (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h-a ALIGN=MIDDLE  ALT=\"h-a\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k ALIGN=MIDDLE  ALT=\"k\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "V1 (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2B4 ALIGN=MIDDLE  ALT=\"3%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >) => (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7 ALIGN=MIDDLE  ALT=\"7\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "V2 (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3-4 ALIGN=MIDDLE  ALT=\"3-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >) => (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "4. Co-vertices (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%2Bb ALIGN=MIDDLE  ALT=\"k%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >), (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k-b ALIGN=MIDDLE  ALT=\"k-b\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "cV1 (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2B3 ALIGN=MIDDLE  ALT=\"2%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >) =>(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "cV2(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2-3 ALIGN=MIDDLE  ALT=\"2-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >)=>(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "5. Endpoints of Latus Rectum\r<BR>\n" );
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document.write( " foci are  (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.7 ALIGN=MIDDLE  ALT=\"5.7\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ),  (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-0.4 ALIGN=MIDDLE  ALT=\"-0.4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > )\r<BR>\n" );
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document.write( "endpoints will lie on intersection of the line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5.7 ALIGN=MIDDLE  ALT=\"x=5.7\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-0.4 ALIGN=MIDDLE  ALT=\"x=-0.4\"   DISABLED_style= \"max-width:90%; height:auto;\" > with ellipse\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%5E2%2F16+%2B+%28y+-+2%29%5E2%2F9+=1 ALIGN=MIDDLE  ALT=\"%28x-3%29%5E2%2F16+%2B+%28y+-+2%29%5E2%2F9+=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >...substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285.7-3%29%5E2%2F16+%2B+%28y+-+2%29%5E2%2F9+=1 ALIGN=MIDDLE  ALT=\"%285.7-3%29%5E2%2F16+%2B+%28y+-+2%29%5E2%2F9+=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >...solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.455625%2B+%28y+-+2%29%5E2%2F9+=1 ALIGN=MIDDLE  ALT=\"0.455625%2B+%28y+-+2%29%5E2%2F9+=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28y+-+2%29%5E2+=9%281-0.455625%29 ALIGN=MIDDLE  ALT=\"+%28y+-+2%29%5E2+=9%281-0.455625%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28y+-+2%29%5E2+=4.899375 ALIGN=MIDDLE  ALT=\"+%28y+-+2%29%5E2+=4.899375\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y++=sqrt%284.899375%29%2B2 ALIGN=MIDDLE  ALT=\"+y++=sqrt%284.899375%29%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y++=4.2 ALIGN=MIDDLE  ALT=\"+y++=4.2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y=-0.2 ALIGN=MIDDLE  ALT=\"+y=-0.2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%5E2%2F16+%2B+%28y+-+2%29%5E2%2F9+=1 ALIGN=MIDDLE  ALT=\"%28x-3%29%5E2%2F16+%2B+%28y+-+2%29%5E2%2F9+=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >...substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-0.4-3%29%5E2%2F16+%2B+%28y+-+2%29%5E2%2F9+=1 ALIGN=MIDDLE  ALT=\"%28-0.4-3%29%5E2%2F16+%2B+%28y+-+2%29%5E2%2F9+=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >...solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.7225%2B+%28y+-+2%29%5E2%2F9+=1 ALIGN=MIDDLE  ALT=\"0.7225%2B+%28y+-+2%29%5E2%2F9+=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28y+-+2%29%5E2+=9%281-0.7225%29 ALIGN=MIDDLE  ALT=\"+%28y+-+2%29%5E2+=9%281-0.7225%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28y+-+2%29%5E2+=2.4975 ALIGN=MIDDLE  ALT=\"+%28y+-+2%29%5E2+=2.4975\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y++=sqrt%282.4975%29%2B2 ALIGN=MIDDLE  ALT=\"+y++=sqrt%282.4975%29%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y++=3.6 ALIGN=MIDDLE  ALT=\"+y++=3.6\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y++=0.4 ALIGN=MIDDLE  ALT=\"+y++=0.4\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "E1 (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.7 ALIGN=MIDDLE  ALT=\"5.7\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.2 ALIGN=MIDDLE  ALT=\"4.2\"   DISABLED_style= \"max-width:90%; height:auto;\" > )<BR>\n" );
document.write( "E2 (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.7 ALIGN=MIDDLE  ALT=\"5.7\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-0.2 ALIGN=MIDDLE  ALT=\"-0.2\"   DISABLED_style= \"max-width:90%; height:auto;\" > )<BR>\n" );
document.write( "E3  (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-0.4 ALIGN=MIDDLE  ALT=\"-0.4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.6 ALIGN=MIDDLE  ALT=\"3.6\"   DISABLED_style= \"max-width:90%; height:auto;\" > )<BR>\n" );
document.write( "E4 (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-0.4 ALIGN=MIDDLE  ALT=\"-0.4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.4 ALIGN=MIDDLE  ALT=\"0.4\"   DISABLED_style= \"max-width:90%; height:auto;\" > )\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "6. Directrices:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3-16sqrt%287%29%2F7 ALIGN=MIDDLE  ALT=\"x=3-16sqrt%287%29%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >=>approximately <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-3.1 ALIGN=MIDDLE  ALT=\"x=-3.1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3%2B16sqrt%287%29%2F7 ALIGN=MIDDLE  ALT=\"x=3%2B16sqrt%287%29%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >=>approximately <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=9.1 ALIGN=MIDDLE  ALT=\"x=9.1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "7. Eccentricity: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%287%29%2F4 ALIGN=MIDDLE  ALT=\"sqrt%287%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > approximately <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.7 ALIGN=MIDDLE  ALT=\"0.7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "8. Length of LR:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F2 ALIGN=MIDDLE  ALT=\"9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "9. Length of Major Axis:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "10.Length of Minor Axis:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing+%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0Acircle%283%2C+2%2C.13%29%2Clocate%283%2C+2%2CC%29%2C%0D%0Acircle%285.7%2C+4.2%2C.13%29%2Clocate%285.7%2C+4.2%2CE1%29%2C%0D%0Acircle%285.7%2C+-0.2%2C.13%29%2Clocate%285.7%2C+-0.4%2CE2%29%2C%0D%0Acircle%28-0.4%2C+3.6%2C.13%29%2Clocate%28-1%2C+3.9%2CE3%29%2C%0D%0Acircle%28-0.4%2C+0.4%2C.13%29%2Clocate%28-1%2C+0.4%2CE4%29%2C%0D%0Acircle%285.7%2C+2%2C.13%29%2Clocate%285.7%2C+2%2CF%29%2C%0D%0Acircle%28-0.4%2C+2%2C.13%29%2Clocate%28-0.4%2C+2%2CF%29%2C%0D%0A%0D%0Acircle%287%2C+2%2C.13%29%2Clocate%287%2C+2%2CV%29%2C%0D%0Acircle%28-1%2C+2%2C.13%29%2Clocate%28-1%2C+2%2CV%29%2C%0D%0Acircle%283%2C+5%2C.13%29%2Clocate%283%2C5%2CcV%29%2C%0D%0Acircle%283%2C+-1%2C.13%29%2Clocate%283%2C-1%2CcV%29%2C%0D%0A%0D%0Agraph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C-sqrt%28+9%281-%28x-3%29%5E2%2F16%29%29%2B2%2Csqrt%28+9%281-%28x-3%29%5E2%2F16%29%29%2B2+%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );