document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=438131>Question 438131</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the standard form of the equation of the ellipse with the given characteristics.\r<BR>\n" );
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document.write( "vertces: (-3, -10), (-3,0)  minor axis of length 4\r<BR>\n" );
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document.write( "Please help with this problem. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #303778 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=303778\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the standard form of the equation of the ellipse with the given characteristics. <BR>\n" );
document.write( "vertces: (-3, -10), (-3,0) minor axis of length 4 <BR>\n" );
document.write( "Please help with this problem.<BR>\n" );
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document.write( "Given information shows this is an ellipse with center at (-3,-5), and its major axis is vertical.<BR>\n" );
document.write( "Standard form of the equation for this ellipse: (x-h)^2/a^2+(y-k)^2/b^2=1  (a>b), where (h,k) are the (x,y) coordinates of the center.<BR>\n" );
document.write( "length of major axis=10=2a<BR>\n" );
document.write( "a=5<BR>\n" );
document.write( "a^2=25<BR>\n" );
document.write( "length of minor axis=4=2b<BR>\n" );
document.write( "b=2<BR>\n" );
document.write( "b^2=4<BR>\n" );
document.write( "c^2=a^2-b^2=25-4=21<BR>\n" );
document.write( "c=sqrt(21)=4.58..(length of foci)<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "(x+3)^2/25+(y+5)^2/4=1<BR>\n" );
document.write( "See graph of this ellipse below:<BR>\n" );
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document.write( "y=+-(4(1-(x+3)^2/25))^.5-5\r<BR>\n" );
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