document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=629072>Question 629072</A>: <I><SPAN STYLE=\"word-break: break-all;\"> which is the asymptotes of y^2/121-x^2/36=1 ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #396028 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=396028\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> which is the asymptotes of y^2/121-x^2/36=1<BR>\n" );
document.write( "This is an equation of a hyperbola with vertical transverse axis.<BR>\n" );
document.write( "Its standard form: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-k%29%5E2%2Fa%5E2-%28x-h%29%5E2%2Fb%5E2 ALIGN=MIDDLE  ALT=\"%28y-k%29%5E2%2Fa%5E2-%28x-h%29%5E2%2Fb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, (h,k)=(x,y) coordinates of  center<BR>\n" );
document.write( "Given equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2F121-x%5E2%2F36=1 ALIGN=MIDDLE  ALT=\"y%5E2%2F121-x%5E2%2F36=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "center: (0,0)<BR>\n" );
document.write( "a^2=121<BR>\n" );
document.write( "a=&#8730;121=11<BR>\n" );
document.write( "b^2=36<BR>\n" );
document.write( "b=&#8730;36=6<BR>\n" );
document.write( "slopes of asymptotes for hyperbolas with vertical transverse axis=±a/b=±11/6<BR>\n" );
document.write( "Asymptotes are equations of straight lines that go thru the center.<BR>\n" );
document.write( "Their standard form: y=mx+b, m=slope, b=y-intercept<BR>\n" );
document.write( "Since center is at (0,0), y-intercept for both asymptotes=0<BR>\n" );
document.write( "Equations for asymptotes:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=11x%2F6 ALIGN=MIDDLE  ALT=\"y=11x%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-11x%2F6 ALIGN=MIDDLE  ALT=\"y=-11x%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );