document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1118335>Question 1118335</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Give the equation <BR>\n" );
document.write( "4x^2+9y^2=36 find:<BR>\n" );
document.write( "a. The center C (use (,)) <BR>\n" );
document.write( "b. Length of major axis<BR>\n" );
document.write( "c. Length of minor axis <BR>\n" );
document.write( "d. Distance from C to foci c <BR>\n" );
document.write( "Hint: divide by 36\r<BR>\n" );
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document.write( "How do you find the distance from C to foci C?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #733627 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39621)</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=733627\">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=4x%5E2%2B9y%5E2=36 ALIGN=MIDDLE  ALT=\"4x%5E2%2B9y%5E2=36\"   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=%284x%5E2%2B9y%5E2%29%2F36=1 ALIGN=MIDDLE  ALT=\"%284x%5E2%2B9y%5E2%29%2F36=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=x%5E2%2F9%2By%5E2%2F4=1 ALIGN=MIDDLE  ALT=\"x%5E2%2F9%2By%5E2%2F4=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "note the relationship <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and there is a constant c so that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2=a%5E2-b%5E2 ALIGN=MIDDLE  ALT=\"c%5E2=a%5E2-b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Your example has <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2=9-4=5 ALIGN=MIDDLE  ALT=\"c%5E2=9-4=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and from that, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=sqrt%285%29 ALIGN=MIDDLE  ALT=\"c=sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Your foci each is  c=sqrt(5)  from the center of the ellipse and are along the long axis of the ellipse.\r<BR>\n" );
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document.write( "Major axis is horizontal, along the x-axis.\r<BR>\n" );
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document.write( "You have  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-0%29%5E2%2F9%2B%28y-0%29%5E2%2F4=1 ALIGN=MIDDLE  ALT=\"%28x-0%29%5E2%2F9%2B%28y-0%29%5E2%2F4=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > so the center point is  at  (0,0).<BR>\n" );
document.write( "Foci are at  ( <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;\" >, 0 ) and (<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;\" >, 0 ). </SPAN>\n" );
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