document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=617323>Question 617323</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the major and minor axis of an ellipse given the equation below:\r<BR>\n" );
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document.write( "16x^2 + 9y^2 -144 = 0\r<BR>\n" );
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document.write( "What is the location of the foci?\r<BR>\n" );
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document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #388535 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=388535\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the major and minor axis of an ellipse given the equation below: <BR>\n" );
document.write( "16x^2 + 9y^2 -144 = 0 <BR>\n" );
document.write( "What is the location of the foci?<BR>\n" );
document.write( "**<BR>\n" );
document.write( "16x^2 + 9y^2 -144 = 0<BR>\n" );
document.write( "divide by 144<BR>\n" );
document.write( "x^2/9 + y^2/16 -1 = 0<BR>\n" );
document.write( "x^2/9 + y^2/16 =1<BR>\n" );
document.write( "This is an equation of an ellipse with vertical major axis.<BR>\n" );
document.write( "Its standard form: (x-h)^2/b^2+(y-k)^2/a^2=1, a>b, (h,k)=(x,y) coordinates of center<BR>\n" );
document.write( "For given equation:<BR>\n" );
document.write( "center:(0,0)<BR>\n" );
document.write( "a^2=16<BR>\n" );
document.write( "a=&#8730;16=4<BR>\n" );
document.write( "length of vertical major axis=2a=8<BR>\n" );
document.write( "..<BR>\n" );
document.write( "b^2=9<BR>\n" );
document.write( "b=&#8730;9=3<BR>\n" );
document.write( "length of minor axis=2b=6<BR>\n" );
document.write( "..<BR>\n" );
document.write( "c^2=a^2-b^2=16-9=7<BR>\n" );
document.write( "c=&#8730;7<BR>\n" );
document.write( "foci: (0,ąc+0)= (0,-&#8730;7) and(0,&#8730;7)<BR>\n" );
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