document.write( "Question 1185036: Can you help me with these? Please
\n" );
document.write( "Find the standard form of the equation of the hyperbola with;
\n" );
document.write( "1. F_1 (5,0), F_2 (-5,0)
\n" );
document.write( " V_1 (4,0), V_2 (-4,0) \n" );
document.write( "
Algebra.Com's Answer #815755 by Edwin McCravy(20060)  You can put this solution on YOUR website! \r\n" );
document.write( "We plot those given points and sketch in a rough sketch of the\r\n" );
document.write( "hyperbola. All \"conic\" graphs curve around their focal points.\r\n" );
document.write( "\r\n" );
document.write( " \r\n" );
document.write( "\r\n" );
document.write( "The equation of all hyperbolas that open right and left have equations,\r\n" );
document.write( "\r\n" );
document.write( "    \r\n" );
document.write( "\r\n" );
document.write( "where (h,k) is the center, \"a\" is the distance between the center and\r\n" );
document.write( "either vertex. \"c\" is the distance between the center and either focal\r\n" );
document.write( "point (or focus). But \"c\" does not appear in the standard equation of\r\n" );
document.write( "a hyperbola. We calculate \"b2\" by the Pythagorean theorem:\r\n" );
document.write( "\r\n" );
document.write( " \r\n" );
document.write( " \r\n" );
document.write( " \r\n" );
document.write( " \r\n" );
document.write( "\r\n" );
document.write( "The center is (0,0), so h=0, k=0, a2=4^2=16, b2=3^2=9.\r\n" );
document.write( "\r\n" );
document.write( "Substitute in\r\n" );
document.write( "\r\n" );
document.write( "    \r\n" );
document.write( "\r\n" );
document.write( "    \r\n" );
document.write( "\r\n" );
document.write( "    \r\n" );
document.write( "\r\n" );
document.write( "Edwin \n" );
document.write( " |
\n" );