document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=471073>Question 471073</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What are (a) the x-intercepts, (b) the y-intercepts and (c) the foci of the following ellipse? (Leave answers exact; do NOT round.) \r<BR>\n" );
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document.write( "x^2/25+y^2/36=1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #323122 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=323122\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What are (a) the x-intercepts, (b) the y-intercepts and (c) the foci of the following ellipse? (Leave answers exact; do NOT round.) <BR>\n" );
document.write( "x^2/25+y^2/36=1<BR>\n" );
document.write( "**<BR>\n" );
document.write( "x^2/25+y^2/36=1<BR>\n" );
document.write( "This is an ellipse with a vertical major axis.<BR>\n" );
document.write( "Center:(0,0)<BR>\n" );
document.write( "a^2=36<BR>\n" );
document.write( "a=6<BR>\n" );
document.write( "..<BR>\n" );
document.write( "b^2=25<BR>\n" );
document.write( "b=5<BR>\n" );
document.write( "..<BR>\n" );
document.write( "(c) Foci<BR>\n" );
document.write( "c^2=a^2+b^2=6+5=11<BR>\n" );
document.write( "c=&#8730;11<BR>\n" );
document.write( "Foci:(0,0±&#8730;11)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "(a) x-intercept<BR>\n" );
document.write( "y=0<BR>\n" );
document.write( "x^2/25=1<BR>\n" );
document.write( "x^2=25<BR>\n" );
document.write( "x=±5<BR>\n" );
document.write( "..<BR>\n" );
document.write( "(b) y-intercept<BR>\n" );
document.write( "x=0<BR>\n" );
document.write( "y^2/36=1<BR>\n" );
document.write( "y^2=36<BR>\n" );
document.write( "y=±6<BR>\n" );
document.write( "..<BR>\n" );
document.write( "ans:<BR>\n" );
document.write( "(a) x-intercept:±5<BR>\n" );
document.write( "(b) y-intercept:±6<BR>\n" );
document.write( "(c) Foci:(0,0±&#8730;11)<BR>\n" );
document.write( "see graph below as a visual check on answers<BR>\n" );
document.write( "..<BR>\n" );
document.write( "y=±(36-36x^2/25)^.5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C10%2C%2836-36x%5E2%2F25%29%5E.5%2C-%2836-36x%5E2%2F25%29%5E.5%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );