document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=886570>Question 886570</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The center of an ellipse is the point      (-4, 2) and one vertex is at (1, 2). The length of each latus rectum is 4. Find the eccentricity. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #536003 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=536003\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The center of an ellipse is the point (-4, 2) and one vertex is at (1, 2). The length of each latus rectum is 4. Find the eccentricity.<BR>\n" );
document.write( "***<BR>\n" );
document.write( "Given data shows ellipse has a 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 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,a>b, (h,k)=coordinates of center<BR>\n" );
document.write( "1/2 length of major axis=5 (center to vertex)<BR>\n" );
document.write( "a=5<BR>\n" );
document.write( "a^2=25<BR>\n" );
document.write( "latus rectum=2b^2/a=4<BR>\n" );
document.write( "4a=2b^2<BR>\n" );
document.write( "b^2=2a=10<BR>\n" );
document.write( "c^2=a^2-b^2=25-10=15<BR>\n" );
document.write( "c=&#8730;15<BR>\n" );
document.write( "eccentricity=c/a=&#8730;15/5 </SPAN>\n" );
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