document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=540725>Question 540725</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the center, vertices, and foci of each ellipse.  <BR>\n" );
document.write( "(a.)<BR>\n" );
document.write( "(x+9)^2/4 + (y-18)^2/100=1\r<BR>\n" );
document.write( "\n" );
document.write( "(b.)<BR>\n" );
document.write( "4x^2=9y^2-64x-144y+796=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #353878 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=353878\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the center, vertices, and foci of each ellipse. <BR>\n" );
document.write( "(a.)<BR>\n" );
document.write( "(x+9)^2/4 + (y-18)^2/100=1<BR>\n" );
document.write( "Standard form of equation for ellipse with vertical major axis: (x-h)^2/b^2+(y-k)^2/a^2=1<BR>\n" );
document.write( "For given equation:<BR>\n" );
document.write( "center: (-9,18)<BR>\n" );
document.write( "a^2=100<BR>\n" );
document.write( "a=10<BR>\n" );
document.write( "vertices: (-9,18±a)=(-9,18±10)=(-9,28) and (-9,8)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "b^2=4<BR>\n" );
document.write( "c^2=a^2-b^2=100-4=96<BR>\n" );
document.write( "c=&#8730;96&#8776;9.8<BR>\n" );
document.write( "Foci:  (-9,18±c)=(-9,18±&#8730;96)=(-9,27.8) and (-9,8.2)<BR>\n" );
document.write( ".. <BR>\n" );
document.write( "(b.)<BR>\n" );
document.write( "4x^2=9y^2-64x-144y+796=0\r<BR>\n" );
document.write( "\n" );
document.write( "Equation not written in workable form. Please clarify. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );