document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=656908>Question 656908</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm really stumped on these questions... My teachers gave me examples but I'm not sure how I can apply them into solving these:\r<BR>\n" );
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document.write( "Write the Equation of the ellipse that meet each set of conditions..\r<BR>\n" );
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document.write( "40. The foci are at (3,5) and (1,5) and the ellipse has eccentricity of 0.25\r<BR>\n" );
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document.write( "41. The ellipse has a vertical major axis of 20 units, its center is at (3,0) and e= 7/10 (eccentricity) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #409786 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=409786\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write the Equation of the ellipse that meet each set of conditions.. <BR>\n" );
document.write( "40. The foci are at (3,5) and (1,5) and the ellipse has eccentricity of 0.25 <BR>\n" );
document.write( "41. The ellipse has a vertical major axis of 20 units, its center is at (3,0) and e= 7/10 (eccentricity)<BR>\n" );
document.write( "**<BR>\n" );
document.write( "40. The foci are at (3,5) and (1,5) and the ellipse has eccentricity of 0.25.<BR>\n" );
document.write( "This is an ellipse with horizontal major axis.<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%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, a>b, (h,k)=(x,y) coordinates of center.<BR>\n" );
document.write( "For given ellipse:<BR>\n" );
document.write( "center: (2,5)<BR>\n" );
document.write( "length of horizontal major axis=2 (1 to 3)=2a<BR>\n" );
document.write( "a=1<BR>\n" );
document.write( "a^2=1<BR>\n" );
document.write( "..<BR>\n" );
document.write( "eccentricity=c/a=.25=1/4<BR>\n" );
document.write( "c=a/4=1/4<BR>\n" );
document.write( "c^2=1/16<BR>\n" );
document.write( "..<BR>\n" );
document.write( "c^2=a^2-b^2<BR>\n" );
document.write( "b^2=a^2-c^2=1-1/16=15/16<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Equation of ellipse:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%5E2%2F1%2B%28y-5%29%5E2%2F%2815%2F16%29=1 ALIGN=MIDDLE  ALT=\"%28x-2%29%5E2%2F1%2B%28y-5%29%5E2%2F%2815%2F16%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%5E2%2F1%2B16%28y-5%29%5E2%2F15=1 ALIGN=MIDDLE  ALT=\"%28x-2%29%5E2%2F1%2B16%28y-5%29%5E2%2F15=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "..<BR>\n" );
document.write( "41. The ellipse has a vertical major axis of 20 units, its center is at (3,0) and e= 7/10 (eccentricity)<BR>\n" );
document.write( "This is an ellipse with vertical major axis as stated<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)=(x,y) coordinates of center.<BR>\n" );
document.write( "For given ellipse:<BR>\n" );
document.write( "center: (3,0)<BR>\n" );
document.write( "length of vertical major axis=20=2a<BR>\n" );
document.write( "a=10<BR>\n" );
document.write( "a^2=100<BR>\n" );
document.write( "..<BR>\n" );
document.write( "eccentricity=c/a=7/10<BR>\n" );
document.write( "c=7a/10=7<BR>\n" );
document.write( "c^2=49<BR>\n" );
document.write( "..<BR>\n" );
document.write( "c^2=a^2-b^2<BR>\n" );
document.write( "b^2=a^2-c^2=100-49=51<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Equation of ellipse:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%5E2%2F51%2By%5E2%2F100=1 ALIGN=MIDDLE  ALT=\"%28x-3%29%5E2%2F51%2By%5E2%2F100=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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