document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=425642>Question 425642</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This ellipse is centered at the origin and has a horizontal axis of length 16 and a vertical axis of length 8. What is its equation?\r<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 #296316 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=296316\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This ellipse is centered at the origin and has a horizontal axis of length 16 and a vertical axis of length 8. What is its equation?\r<BR>\n" );
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document.write( "Standard form for this ellipse:<BR>\n" );
document.write( "(x-h)^2/a^2+(y-k)^2/b^2=1,(a>b) with (h,k) being the (x,y) coordinates of the center.<BR>\n" );
document.write( "In this case since the center is at (0,0) the equation becomes:<BR>\n" );
document.write( "x^2/a^2+y^2/b^2=1 (a>b) All we need to do is find a^2 & b^2 to get the equation.<BR>\n" );
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document.write( "2a=major axis as given =16<BR>\n" );
document.write( "a=8<BR>\n" );
document.write( "a^2=64<BR>\n" );
document.write( "2b=minor axis as given = 8<BR>\n" );
document.write( "b=4<BR>\n" );
document.write( "b^2=16\r<BR>\n" );
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document.write( "Equation of the ellipse:<BR>\n" );
document.write( "x^2/64+y^2/16=1<BR>\n" );
document.write( "The graph below shows what this ellipse looks like.\r<BR>\n" );
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document.write( "y=+-(16(1-x^2/64))^.5<BR>\n" );
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