document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=824639>Question 824639</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A hyperbola has center (0,0) and one vertex  A(&#8730;6 , 0) <BR>\n" );
document.write( "a) find the equation if fit passed through J(9,5)<BR>\n" );
document.write( "b) find the value of x if K(x,2) is on the hyperbola<BR>\n" );
document.write( "c) find the value of y if I(3,y) is on the hyperbola<BR>\n" );
document.write( "Thanks so much in advance:)   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #496787 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=496787\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A hyperbola has center (0,0) and one vertex A(&#8730;6 , 0)<BR>\n" );
document.write( "a) find the equation if fit passed through J(9,5)<BR>\n" );
document.write( "b) find the value of x if K(x,2) is on the hyperbola<BR>\n" );
document.write( "c) find the value of y if I(3,y) is on the hyperbola<BR>\n" );
document.write( "***<BR>\n" );
document.write( "Hyperbola has a horizontal transverse axis with center at the origin.<BR>\n" );
document.write( "Its standard form of equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Fa%5E2-y%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"x%5E2%2Fa%5E2-y%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "..<BR>\n" );
document.write( "a=&#8730;6<BR>\n" );
document.write( "a^2=6<BR>\n" );
document.write( "..<BR>\n" );
document.write( "a) solving for b^2:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%5E2%2F6-5%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"9%5E2%2F6-5%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=81%2F6-25%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"81%2F6-25%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2Fb%5E2=81%2F6-1 ALIGN=MIDDLE  ALT=\"25%2Fb%5E2=81%2F6-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2Fb%5E2=75%2F6 ALIGN=MIDDLE  ALT=\"25%2Fb%5E2=75%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b^2=(6)(25)/75=2<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F6-y%5E2%2F2=1 ALIGN=MIDDLE  ALT=\"x%5E2%2F6-y%5E2%2F2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "..<BR>\n" );
document.write( "b)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F6-2%5E2%2F2=1 ALIGN=MIDDLE  ALT=\"x%5E2%2F6-2%5E2%2F2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F6-4%2F2=1 ALIGN=MIDDLE  ALT=\"x%5E2%2F6-4%2F2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x^2/6=3<BR>\n" );
document.write( "x^2=18<BR>\n" );
document.write( "x=±&#8730;18=±4.2426<BR>\n" );
document.write( "..<BR>\n" );
document.write( "c)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E2%2F6-y%5E2%2F2=1 ALIGN=MIDDLE  ALT=\"3%5E2%2F6-y%5E2%2F2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F6-y%5E2%2F2=1 ALIGN=MIDDLE  ALT=\"9%2F6-y%5E2%2F2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y^2/2=9/6-1=3/6<BR>\n" );
document.write( "y^2=1<BR>\n" );
document.write( "y=±1 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );