document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=617137>Question 617137</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Identify the curve. Find the characteristics listed.<BR>\n" );
document.write( "Center, Vertices, Foci.\r<BR>\n" );
document.write( "\n" );
document.write( "x^2/64 + y^2/16 = 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #388228 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=388228\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Identify the curve. Find the characteristics listed.<BR>\n" );
document.write( "Center, Vertices, Foci. <BR>\n" );
document.write( "x^2/64 + y^2/16 = 1<BR>\n" );
document.write( "This is an equation of an ellipse with horizontal major axis.<BR>\n" );
document.write( "Its standard form: (x-h)^2/a^2+(y-k)^2/b^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=64<BR>\n" );
document.write( "a=&#8730;64=8<BR>\n" );
document.write( "vertices: (0±a,0)=(0±8,0)=(-8,0) and (8,0)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "b^2=16<BR>\n" );
document.write( "b=&#8730;16=4<BR>\n" );
document.write( "..<BR>\n" );
document.write( "c^2=a^2-b^2=64-16=48<BR>\n" );
document.write( "c=&#8730;48&#8776;6.93<BR>\n" );
document.write( "foci:  (0±c,0)=(0±6.93,0)=(-6.93c,0) and (6.93,0) </SPAN>\n" );
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