document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1118319>Question 1118319</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Give the equation <BR>\n" );
document.write( "X^2+4y^2=16 find:<BR>\n" );
document.write( "a. The center C (use (,)) <BR>\n" );
document.write( "b. Length of major axis<BR>\n" );
document.write( "c. Length of minor axis <BR>\n" );
document.write( "d. Distance from C to foci c <BR>\n" );
document.write( "hint: divide by 16 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #733605 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=733605\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B4y%5E2+=+16 ALIGN=MIDDLE  ALT=\"x%5E2%2B4y%5E2+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F16+%2B+y%5E2%2F4+=+1 ALIGN=MIDDLE  ALT=\"x%5E2%2F16+%2B+y%5E2%2F4+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F4%5E2+%2B+y%5E2%2F2%5E2+=+1 ALIGN=MIDDLE  ALT=\"x%5E2%2F4%5E2+%2B+y%5E2%2F2%5E2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-0%29%5E2%2F4%5E2+%2B+%28y-0%29%5E2%2F2%5E2+=+1 ALIGN=MIDDLE  ALT=\"%28x-0%29%5E2%2F4%5E2+%2B+%28y-0%29%5E2%2F2%5E2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<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><BR>\n" );
document.write( "The \"x-0\" and \"y-0\" mean the center of the ellipse is (h,k) = (0,0).<br><BR>\n" );
document.write( "a.  Answer: the center is C(0,0).<br><BR>\n" );
document.write( " The denominators are the squares of the semi-major and semi-minor axes.  So the semi-major axis is 4 (in the x direction) and the semi-minor axis is 2 (in the y direction).  So the lengths of the major and minor axes are 8 and 4.<br><BR>\n" );
document.write( "b,c.  Answer: major axis 8; minor axis 4.<br><BR>\n" );
document.write( "\"c\" is the distance from the center of the ellipse to either focus; for an ellipse, c^2 = a^2 + b^2.<br><BR>\n" );
document.write( "d.  Answer: the distance from the center to each focus is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2816%2B4%29+=+sqrt%2820%29 ALIGN=MIDDLE  ALT=\"sqrt%2816%2B4%29+=+sqrt%2820%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );