document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=895997>Question 895997</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the standard form equation of the conic section.<BR>\n" );
document.write( "Eccentricity = 3/5<BR>\n" );
document.write( "Foci: (6,1), (6,-11)\r<BR>\n" );
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document.write( "The answer is (x-6)^2  / 64 + (y+5)^2  /100 = 1    <BR>\n" );
document.write( "I don't understand how to do this problem. <BR>\n" );
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 #543221 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=543221\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write the standard form equation of the conic section.<BR>\n" );
document.write( "Eccentricity = 3/5<BR>\n" );
document.write( "Foci: (6,1), (6,-11)<BR>\n" );
document.write( "The answer is (x-6)^2 / 64 + (y+5)^2 /100 = 1 <BR>\n" );
document.write( "***<BR>\n" );
document.write( "Conic section is an ellipse with vertical major axis.(from given foci coordinates)<BR>\n" );
document.write( "Its standard form of equation:<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)=coordinates of center<BR>\n" );
document.write( "..<BR>\n" );
document.write( "x-coordinate of center=6 (from foci data)<BR>\n" );
document.write( "y-coordinate of center=-5 (midpoint between 1 and -11)<BR>\n" );
document.write( "center: (6,-5)<BR>\n" );
document.write( "c=6(distance from center to foci)<BR>\n" );
document.write( "c^2=36<BR>\n" );
document.write( "eccentricity=3/5=c/a<BR>\n" );
document.write( "3a=5c<BR>\n" );
document.write( "a=5c/3=30/3=10<BR>\n" );
document.write( "a^2=100<BR>\n" );
document.write( "c^2=a^2-b^2<BR>\n" );
document.write( "b^2=a^2-c^2=100-36=64<BR>\n" );
document.write( "equation:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-6%29%5E2%2F64%2B%28y%2B5%29%5E2%2F100=1 ALIGN=MIDDLE  ALT=\"%28x-6%29%5E2%2F64%2B%28y%2B5%29%5E2%2F100=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );