document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=920283>Question 920283</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^/25 + y^2/36=1\r<BR>\n" );
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document.write( "I need help with all three (a) (b) and (c).  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 #558276 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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/cgi-bin/show-face.mpl?user=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=558276\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^2/25+y^2/36=1\r<BR>\n" );
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document.write( "x^2/(5)^2 + y^2(6)^2=1\r<BR>\n" );
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document.write( "36 is bigger than 25, a^2 term is the denominator of y^2 term, and  b^2 term is  the denominator of x^2 term. \r<BR>\n" );
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document.write( "This is an ellipse  & major axis is vertical. <BR>\n" );
document.write( "h,k = (0,0)\r<BR>\n" );
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document.write( "  Center:(0,0)<BR>\n" );
document.write( "  a=6 <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" );
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document.write( " x-intercept:±5<BR>\n" );
document.write( " y-intercept:±6<BR>\n" );
document.write( " Foci:(0,0±<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2811%29 ALIGN=MIDDLE  ALT=\"sqrt%2811%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );