document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=741917>Question 741917</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.<BR>\n" );
document.write( "121y^2-100x^2=12100 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #452233 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=452233\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.<BR>\n" );
document.write( "121y^2-100x^2=12100<BR>\n" );
document.write( "***<BR>\n" );
document.write( "Given hyperbola has a vertical transverse axis. (y-term written before x-term)<BR>\n" );
document.write( "Its standard form of equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-k%29%5E2%2Fa%5E2-%28x-h%29%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"%28y-k%29%5E2%2Fa%5E2-%28x-h%29%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, (h,k)=(x,y) coordinates of center<BR>\n" );
document.write( "121y^2-100x^2=12100<BR>\n" );
document.write( "divide by 12100<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2F100-x%5E2%2F121=1 ALIGN=MIDDLE  ALT=\"y%5E2%2F100-x%5E2%2F121=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "center: (0,0)<BR>\n" );
document.write( "transverse axis: vertical<BR>\n" );
document.write( "..<BR>\n" );
document.write( "a^2=100<BR>\n" );
document.write( "a=&#8730;100=10<BR>\n" );
document.write( "vertices: (0,0±a)=(0,0±10)=(0,-10) and (0,10)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "b^2=121<BR>\n" );
document.write( "b=&#8730;121=11<BR>\n" );
document.write( "..<BR>\n" );
document.write( "c^2=a^2+b^2=100+121=221<BR>\n" );
document.write( "c=&#8730;221&#8776;14.87<BR>\n" );
document.write( "foci: (0,0±c)=(0,0±14.87)=(0,-14.87) and (0,14.87)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "asymptotes: straight line equations that go thru the center of the form: y=mx+b, m=slope, b=y-intercept.<BR>\n" );
document.write( "slopes of asymptotes of hyperbolas with vertical transverse axis=±a/b=±10/11<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Equation of asymptote with positive slope.<BR>\n" );
document.write( "y=10x/11<BR>\n" );
document.write( "Equation of asymptote with negative slope.<BR>\n" );
document.write( "y=-10x/11<BR>\n" );
document.write( " </SPAN>\n" );
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