document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=980344>Question 980344</A>: <I><SPAN STYLE=\"word-break: break-all;\"> whats are the vertices,foci,length of major and minor axis, and eccentricity of<BR>\n" );
document.write( "9x^2+4y^2=36<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 #601604 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52798)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=601604\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "You are given the ellipse\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2 ALIGN=MIDDLE  ALT=\"9x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y%5E2 ALIGN=MIDDLE  ALT=\"4y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36+ ALIGN=MIDDLE  ALT=\"36+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The canonical equation of this ellipse is &nbsp;(see the lesson &nbsp;<A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Quadratic-relations-and-conic-sections/Ellipse-definition--canonical-equation--characteristic-points-and-elements.lesson>Ellipse definition, canonical equation, characteristic points and elements</A>&nbsp; in this site)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%2F36%29x%5E2 ALIGN=MIDDLE  ALT=\"%289%2F36%29x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F36%29y%5E2 ALIGN=MIDDLE  ALT=\"%284%2F36%29y%5E2\"   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( "or, which is the same\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F2%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2F2%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2F3%5E2 ALIGN=MIDDLE  ALT=\"y%5E2%2F3%5E2\"   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( "&nbsp;&nbsp;&nbsp;&nbsp;(!!! Be aware: in this case &nbsp;<B>a</B>=2 < <B>b</B>=3 !!!)\r<BR>\n" );
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document.write( "<B>Vertices</B>: &nbsp;(-2, 0); &nbsp;(2, 0); &nbsp;(0, 3); &nbsp;(0, -3).\r<BR>\n" );
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document.write( "<B>Length of major axis</B> &nbsp;is &nbsp;&nbsp;2*3 = 6; &nbsp;&nbsp;&nbsp;&nbsp;(along the <B>y</B>-axis !)\r<BR>\n" );
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document.write( "<B>Length of minor axis</B> &nbsp;is &nbsp;&nbsp;2*2 = 4; &nbsp;&nbsp;&nbsp;&nbsp;(along the <B>x</B>-axis !)\r<BR>\n" );
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document.write( "<B>Linear eccentricity</B>: &nbsp;&nbsp;c = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%5E2+-+2%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%283%5E2+-+2%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%289-4%29 ALIGN=MIDDLE  ALT=\"sqrt%289-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285%29 ALIGN=MIDDLE  ALT=\"sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > =~ 2.236 (approximately).\r<BR>\n" );
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document.write( "<B>Eccentricity</B>: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=eps ALIGN=MIDDLE  ALT=\"eps\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285%29%2F3 ALIGN=MIDDLE  ALT=\"sqrt%285%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > =~  0.745 (approximately).\r<BR>\n" );
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document.write( "<B>Foci</B>: &nbsp;(0, -c) = (0, -2.236) &nbsp;and&nbsp; (0, c) = (0, 2.236)\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;(Foci lie in the <B>y</B>-axis in this case !)\r<BR>\n" );
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