document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=876473>Question 876473</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the center, and the lengths of the transverse and conjugate axes of the hyperbola.Get the equation into standard form for a hyperbola.<BR>\n" );
document.write( "Find the center, and the lengths of the transverse and conjugate axes.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2+-+16y%5E2+%2B+126x+%2B+288y+-+999+=+0 ALIGN=MIDDLE  ALT=\"9x%5E2+-+16y%5E2+%2B+126x+%2B+288y+-+999+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><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 #528954 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=528954\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the center, and the lengths of the transverse and conjugate axes.z<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2+-+16y%5E2+%2B+126x+%2B+288y+-+999+=+0 ALIGN=MIDDLE  ALT=\"9x%5E2+-+16y%5E2+%2B+126x+%2B+288y+-+999+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "9x^2+ 126x - 16y^2  + 288y - 999 = 0<BR>\n" );
document.write( "complete the square:<BR>\n" );
document.write( "9(x^2+ 14x +49) - 16(y^2 - 18y + 81) = 999+441-1296 <BR>\n" );
document.write( "9(x+7)^2-16(y-9)^2=144<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B7%29%5E2%2F16-%28y-9%29%5E2%2F9=1 ALIGN=MIDDLE  ALT=\"%28x%2B7%29%5E2%2F16-%28y-9%29%5E2%2F9=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is an equation of a hyperbola with horizontal transverse axis.<BR>\n" );
document.write( "Its standard form of equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-y%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"%28x-y%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, (h,k)=coordinates of center<BR>\n" );
document.write( "For given hyperbola:<BR>\n" );
document.write( "center: (-7, 9)<BR>\n" );
document.write( "a^2=16<BR>\n" );
document.write( "a=4<BR>\n" );
document.write( "length of transverse axis=2a=8<BR>\n" );
document.write( "b^2=9<BR>\n" );
document.write( "b=3<BR>\n" );
document.write( "length of conjugate axis=2b=6<BR>\n" );
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