document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=694199>Question 694199</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Identify the center and foci of the ellipse. (x-2)^2/16 + (y-7)^2/169 =1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #427925 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=427925\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Identify the center and foci of the ellipse. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%5E2%2F16+%2B+%28y-7%29%5E2%2F169+=1 ALIGN=MIDDLE  ALT=\"%28x-2%29%5E2%2F16+%2B+%28y-7%29%5E2%2F169+=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is an equation of an ellipse with vertical major axis.(y-denominator > x-denominator<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( "For given equation:<BR>\n" );
document.write( "center: (2,7)<BR>\n" );
document.write( "a^2=169<BR>\n" );
document.write( "b^2=16<BR>\n" );
document.write( "c^2=a^2-b^2=169/16=153<BR>\n" );
document.write( "c=&#8730;153&#8776;12.4<BR>\n" );
document.write( "foci: (2,7±c)&#8776;(2,7±12.4)&#8776;(2,-5.4 and (2,19.4)<BR>\n" );
document.write( " </SPAN>\n" );
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