document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=932627>Question 932627</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this problem! On a map of an amusement park, a ride has a track in the shape of an ellipse. The ellipse has vertices at (5,1) and (-5,1) and foci at (3,1) and (-3,1). Find the equation that can be used to describe the path of the ride. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #566278 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=566278\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Standard Form of an Equation of an Ellipse is <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;\" > <BR>\n" );
document.write( "where Pt(h,k) is the center. (a variable positioned to correspond with major axis)<BR>\n" );
document.write( " a and b  are the respective vertices distances from center.<BR>\n" );
document.write( " The foci distances from center:   c = ±<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28a%5E2-b%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28a%5E2-b%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where  a > b<BR>\n" );
document.write( ".......<BR>\n" );
document.write( "vertices at (5,1) and (-5,1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%29%5E2%2F5%5E2+%2B+%28y-1%29%5E2%2Fb%5E2+=+1+ ALIGN=MIDDLE  ALT=\"%28x%29%5E2%2F5%5E2+%2B+%28y-1%29%5E2%2Fb%5E2+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "2 = ±<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2825-b%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%2825-b%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "4 = 25 - b^2<BR>\n" );
document.write( "b^2 = 21<BR>\n" );
document.write( ".......<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%29%5E2%2F25+%2B+%28y-1%29%5E2%2F21+=+1+ ALIGN=MIDDLE  ALT=\"%28x%29%5E2%2F25+%2B+%28y-1%29%5E2%2F21+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".......<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C++++-10%2C10%2C-10%2C10%2C++arc%280%2C1%2C10%2C+2sqrt%2821%29%29%2C+++%0D%0A+grid%281%29%2C%0D%0Acircle%280%2C+1%2C0.4%29%2C%0D%0Acircle%280%2C+1%2Bsqrt%2821%29%2C0.4%29%2C%0D%0Acircle%28-5%2C1%2C0.4%29%2C%0D%0Agraph%28+300%2C+300%2C+-10%2C10%2C-10%2C10%2C0%2C1%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );