document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=698269>Question 698269</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write the equation of the hyperbola with vertices (6,0) and (-6,0) and an asymptote of y=1/2x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #430893 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=430893\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> write the equation of the hyperbola with vertices (6,0) and (-6,0) and an asymptote of y=1/2x<BR>\n" );
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document.write( "This is a hyperbola with horizontal  transverse axis.<BR>\n" );
document.write( "Its standard form of equation: (x-h)^2/a^2-(y-k)^2/b^2=1, (h,k)=(x,y) coordinates of center<BR>\n" );
document.write( "..<BR>\n" );
document.write( "For given hyperbola:<BR>\n" );
document.write( "center: (0,0)<BR>\n" );
document.write( "length of horizontal transverse axis=12=2a (-6 to 6)<BR>\n" );
document.write( "a=6<BR>\n" );
document.write( "a^2=36<BR>\n" );
document.write( "For hyperbolas with horizontal transverse axis, slope of asymptotes=b/a<BR>\n" );
document.write( "b/a=1/2<BR>\n" );
document.write( "b=a/2<BR>\n" );
document.write( "b=6/2=3<BR>\n" );
document.write( "b^2=9<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "x^2/36-y^2/9=1 </SPAN>\n" );
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