document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=31795>Question 31795</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Question: Find the equation of the ellipise whose centers is (-4,-5), has a vertex at (2,-5) and a minor axis of length 6. \r<BR>\n" );
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document.write( "(A) (x+4)^2/9 + (y+5)^2/36 = 1<BR>\n" );
document.write( "(B) (x+4)^2/36 + (y+5)^2/9 =1<BR>\n" );
document.write( "(C) none of these<BR>\n" );
document.write( "(D) x^2/36 + y^2/9 =1 \r<BR>\n" );
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document.write( "Thank you!<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #18395 by </B><A HREF=/tutors/aboutme.mpl?userid=mukhopadhyay><B>mukhopadhyay(490)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mukhopadhyay><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=18395\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Standard equation of ellipse is:<BR>\n" );
document.write( "(x-h)^2/a^2 + (y-k)^2/b^2 = 1 where (h,k) is the center, a=1/2(length of one axis), and b=1/2(length of another axis); <BR>\n" );
document.write( "We know that (h,k) = (-4,-5)<BR>\n" );
document.write( "So, the equation boils down to<BR>\n" );
document.write( "(x+4)^2/a^2 + (y+5)^2/b^2 = 1;<BR>\n" );
document.write( "Vertex is at (2,-5) and center is at (-4,-5). This says that the major axis is parallel to x-axis (because y-value for both of them is the same) and 1/2 of the length of the major axis 6 [6 comes from 2-(-4); difference of x-value between vertex and the center]<BR>\n" );
document.write( "So, a=6 and b=3 (6/2=3)<BR>\n" );
document.write( "Thus, the equation of the ellipse is<BR>\n" );
document.write( "(x+4)^2/6^2 + (y+5)^2/3^2 = 1<BR>\n" );
document.write( "=>(x+4)^2/36 + (y+5)^2/9 = 1<BR>\n" );
document.write( "Correct answer is B.<BR>\n" );
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