document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=617010>Question 617010</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ``All of the questions are based on the same ellipse...\r<BR>\n" );
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document.write( "1)An ellpise has foci at (-5,0)and (5,0). What is the value of c²?\r<BR>\n" );
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document.write( "2)If the sum of the focal radii of this ellpise is 12, what is the value of a²?\r<BR>\n" );
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document.write( "3)Using your conclusions, what is the value of b²?\r<BR>\n" );
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document.write( "4)What is the equation of the ellipes?\r<BR>\n" );
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document.write( "5)What are the x-intercepts of the ellipse?\r<BR>\n" );
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document.write( "6)What are the y-intercepts of this ellipse?\r<BR>\n" );
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document.write( "7) Graph the ellipse and plot the foci on a graph.\r<BR>\n" );
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document.write( "please give me step by step instructions<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #388099 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=388099\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given ellipse has a horizontal major axis.<BR>\n" );
document.write( "Its standard form: (x-h)2/a^2+(y-k)^2/b^2=1<BR>\n" );
document.write( "For given ellipse:\r<BR>\n" );
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document.write( "1)An ellpise has foci at (-5,0)and (5,0). What is the value of c²? <BR>\n" );
document.write( "c=5<BR>\n" );
document.write( "c^2=25<BR>\n" );
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document.write( "2)If the sum of the focal radii of this ellpise is 12, what is the value of a²?<BR>\n" );
document.write( "focal radii=12=2a<BR>\n" );
document.write( "a=6<BR>\n" );
document.write( "a^2=36<BR>\n" );
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document.write( "3)Using your conclusions, what is the value of b²?<BR>\n" );
document.write( "b^2=a^2-c^2=36-25=11<BR>\n" );
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document.write( "4)What is the equation of the ellipse?<BR>\n" );
document.write( " x2/36+y^2/11=1<BR>\n" );
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document.write( "5)What are the x-intercepts of the ellipse?<BR>\n" );
document.write( "set y=0, then solve for x<BR>\n" );
document.write( "x2/36=1<BR>\n" );
document.write( "x^2=36<BR>\n" );
document.write( "x=±&#8730;36=±6<BR>\n" );
document.write( "x-int at -6 and 6<BR>\n" );
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document.write( "6)What are the y-intercepts of this ellipse?<BR>\n" );
document.write( "set x=0, then solve for y<BR>\n" );
document.write( "y^2/11=1<BR>\n" );
document.write( "y^2=11<BR>\n" );
document.write( "y=±&#8730;11&#8776;±3.32<BR>\n" );
document.write( "y-int at -3.32 and 3.32<BR>\n" );
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document.write( "7) Graph the ellipse and plot the foci on a graph.\r<BR>\n" );
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document.write( "see graph below: (foci not shown)<BR>\n" );
document.write( "y=(11-11x^2/36)^.5<BR>\n" );
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