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whats the equation for the hyperbola described. Foci (3,7) and (7,7); vertex at (6,7)\r
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\n" ); document.write( "Given data shows this is a hyperbola with horizontal transverse axis. Its standard form of equation:
\n" ); document.write( "(x-h)^2/a^2-(y-k)^2/b^2=1, (h,k)=(x,y) coordinates of center.
\n" ); document.write( "..
\n" ); document.write( "x-coordinate of center=(7+3)/2=5 (midpoint formula)
\n" ); document.write( "y-coordinate=7
\n" ); document.write( "center: (5,7)
\n" ); document.write( "..
\n" ); document.write( "length of transverse axis=2=2a (2*distance from vertex to center)
\n" ); document.write( "a=1
\n" ); document.write( "a^2=1
\n" ); document.write( "..
\n" ); document.write( "Foci
\n" ); document.write( "2c=4 (distance between foci)
\n" ); document.write( "c=2
\n" ); document.write( "c^2=4
\n" ); document.write( "..
\n" ); document.write( "c^2=a^2+b^2
\n" ); document.write( "b^2=c^2-a^2=4-1=3
\n" ); document.write( "...
\n" ); document.write( "Equation:
\n" ); document.write( "(x-5)^2/1-(y-7)^2/3=1 \n" ); document.write( "