document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=404679>Question 404679</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write the equation in standard form. name the center, the length of the minor and major axis, and direction.<BR>\n" );
document.write( "5x^2+9y^2=720\r<BR>\n" );
document.write( "\n" );
document.write( "x^2+9y^2-4x+54y+49=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #285981 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=285981\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> write the equation in standard form. name the center, the length of the minor   and major axis, and direction.<BR>\n" );
document.write( "    5x^2+9y^2=720<BR>\n" );
document.write( "    x^2+9y^2-4x+54y+49=0\r<BR>\n" );
document.write( "\n" );
document.write( "..\r<BR>\n" );
document.write( "\n" );
document.write( "5x^2+9y^2=720<BR>\n" );
document.write( "divide by 720<BR>\n" );
document.write( "x^2/144+y^2/80=1(standard form)<BR>\n" );
document.write( "This is an ellipse with:<BR>\n" );
document.write( "center (0,0),major axis horizontal because a>b<BR>\n" );
document.write( "a^2=144<BR>\n" );
document.write( "a=12<BR>\n" );
document.write( "b^2=80<BR>\n" );
document.write( "b=sqrt(80)<BR>\n" );
document.write( "length of major axis,=2a=24<BR>\n" );
document.write( "length of minor axis, 2b =2Sqrt(80)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "x^2+9y^2-4x+54y+49=0<BR>\n" );
document.write( "complete the squares<BR>\n" );
document.write( "(x^2-4x+4)+9(y^2+6y+9)=-49+4+81<BR>\n" );
document.write( "(x-2)^2+9(y+3)^2=36<BR>\n" );
document.write( "(x-2)^2/36+(y+3)^2/4=1 (standard form)<BR>\n" );
document.write( "This is an ellipse with:<BR>\n" );
document.write( "center (2,-3), major axis horizontal<BR>\n" );
document.write( "a^2=36<BR>\n" );
document.write( "a=6<BR>\n" );
document.write( "b^2=4<BR>\n" );
document.write( "b=2<BR>\n" );
document.write( "length of major axis,=2a=12<BR>\n" );
document.write( "length of minor axis, 2b =4<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );