document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=712313>Question 712313</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What are the foci of the ellipse given by the equation 100x^2+64y^2=64,000 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #438278 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=438278\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What are the foci of the ellipse given by the equation <BR>\n" );
document.write( "100x^2+64y^2=64,000<BR>\n" );
document.write( "x^2/640+y^2/1000=1<BR>\n" );
document.write( "This is an equation of an ellipse with vertical major axis.<BR>\n" );
document.write( "Its standard form: <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;\" >, a>b, (h,k)=(x,y) coordinates of center<BR>\n" );
document.write( "center:(0,0)<BR>\n" );
document.write( "a^2=1000<BR>\n" );
document.write( "b^2=640<BR>\n" );
document.write( "c^2=a^2-b^2=1000-640=360<BR>\n" );
document.write( "c=&#8730;360&#8776;18.97<BR>\n" );
document.write( "Foci: (0, 0±c)=(0,0±18.97)=(0,-18.97) and (0,18.97) </SPAN>\n" );
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