document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=472970>Question 472970</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation in standard form of an ellipse with center at (0,0) minor axis of length 18, and foci at (0,-12) and (0,12).\r<BR>\n" );
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document.write( "a. (x^2/225)+(y^2/81)=1<BR>\n" );
document.write( "b. (x^2/144)+(y^2/81)=1<BR>\n" );
document.write( "c. (x^2/81)+(y^2/225)=1<BR>\n" );
document.write( "d. (x^2/9)+(y^2/15)=1<BR>\n" );
document.write( "e. (x^2/15)+(y^2/9)=1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #324836 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=324836\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation in standard form of an ellipse with center at (0,0) minor axis of length 18, and foci at (0,-12) and (0,12). <BR>\n" );
document.write( "a. (x^2/225)+(y^2/81)=1<BR>\n" );
document.write( "b. (x^2/144)+(y^2/81)=1<BR>\n" );
document.write( "c. (x^2/81)+(y^2/225)=1<BR>\n" );
document.write( "d. (x^2/9)+(y^2/15)=1<BR>\n" );
document.write( "e. (x^2/15)+(y^2/9)=1<BR>\n" );
document.write( "**<BR>\n" );
document.write( "As noted from foci, where x doesn't change but y does, given ellipse has a vertical major axis with standard form: (x-h)^2/b^2+(y-k)^2/a^2=1, (a>b)<BR>\n" );
document.write( "2b=minor axis=18<BR>\n" );
document.write( "b=9<BR>\n" );
document.write( "b^2=81<BR>\n" );
document.write( "..<BR>\n" );
document.write( "c=12<BR>\n" );
document.write( "c^2=a^2-b^2<BR>\n" );
document.write( "144=a^2-81<BR>\n" );
document.write( "a^2=144+81=225<BR>\n" );
document.write( "a=&#8730;225=15<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "x^2/81+y^2/225=1<BR>\n" );
document.write( "c. is the correct ans. </SPAN>\n" );
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