document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1141738>Question 1141738</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a new representation of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11x%5E2-50sqrt%283%29xy-39y%5E2%2B576=0 ALIGN=MIDDLE  ALT=\"11x%5E2-50sqrt%283%29xy-39y%5E2%2B576=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > after being rotated through an angle of 60 degrees. The question asks for the coefficient of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. I get -64, but not sure if that's right. Thank you! Your work is much appreciated! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #762352 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=762352\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> -64 is correct.<BR>\n" );
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document.write( "For  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+Ax%5E2+%2B+Bxy+%2B+Cy%5E2+%2B+Dx+%2B+Ey+=+0++ ALIGN=MIDDLE  ALT=\"+Ax%5E2+%2B+Bxy+%2B+Cy%5E2+%2B+Dx+%2B+Ey+=+0++\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "rotated counter-clockwise by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta ALIGN=MIDDLE  ALT=\"theta\"   DISABLED_style= \"max-width:90%; height:auto;\" >:\r<BR>\n" );
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document.write( "The leading coefficient in the rotated coordinates is:\r<BR>\n" );
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document.write( "A' = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+Acos%5E2%28theta%29+%2B+Bsin%28theta%29cos%28theta%29+%2B+Csin%5E2%28theta%29+ ALIGN=MIDDLE  ALT=\"+Acos%5E2%28theta%29+%2B+Bsin%28theta%29cos%28theta%29+%2B+Csin%5E2%28theta%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "   = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+11%281%2F2%29%5E2+%2B+%28-50%29%28sqrt%283%29%29%28sqrt%283%29%2F2%29+%2B+%28-39%29%28sqrt%283%29%2F2%29%5E2+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "   = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2811+-+150+-+117%29+%2F+4+ ALIGN=MIDDLE  ALT=\"+%2811+-+150+-+117%29+%2F+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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