document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=974197>Question 974197</A>: <I><SPAN STYLE=\"word-break: break-all;\"> identify the conic section given by 25X^2+64y^2=1600. describe the center and the intercepts and graph </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #596199 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=596199\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> identify the conic section given by 25X^2+64y^2=1600. describe the center and the intercepts and graph<BR>\n" );
document.write( "***<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x%5E2%2B64y%5E2=1600 ALIGN=MIDDLE  ALT=\"25x%5E2%2B64y%5E2=1600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide by 1600<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F64%2By%5E2%2F25=1 ALIGN=MIDDLE  ALT=\"x%5E2%2F64%2By%5E2%2F25=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is an equation of an ellipse with horizontal major axis with center at the origin (0,0)<BR>\n" );
document.write( "Its standard form of equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For given problem:<BR>\n" );
document.write( "a^2=64<BR>\n" );
document.write( "a=8<BR>\n" );
document.write( "x-intercepts: (-8,0) and (8,0)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "b^2=25<BR>\n" );
document.write( "b=5<BR>\n" );
document.write( "y-intercepts: (0,-5) and (0,5)<BR>\n" );
document.write( "see graph below:<BR>\n" );
document.write( "y=(25-25x^2/64)^.5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C10%2C+-10%2C+10%2C%2825-25x%5E2%2F64%29%5E.5%2C-%2825-25x%5E2%2F64%29%5E.5%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );