document.write( "Question 650457: write an equation for the hyperbola that satisfies the given set of conditions.\r
\n" ); document.write( "\n" ); document.write( "vertices (23,0) and (-23,0), conjugate axis of 4 units. \n" ); document.write( "

Algebra.Com's Answer #407379 by lwsshak3(11628) $\"\"$ $\"About$

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write an equation for the hyperbola that satisfies the given set of conditions.
\n" ); document.write( "vertices (23,0) and (-23,0), conjugate axis of 4 units.
\n" ); document.write( "**
\n" ); document.write( "Standard form of equation for a hyperbola with horizontal transverse axis:
\n" ); document.write( " $\"%28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1\"$ , (h,k)=(x,y) coodinates of center
\n" ); document.write( "For given problem:
\n" ); document.write( "center:(0,0)
\n" ); document.write( "length of horizontal transverse axis=46 (-23 to 23)=2a
\n" ); document.write( "a=23
\n" ); document.write( "a^2=529
\n" ); document.write( "..
\n" ); document.write( "length of conjugate axis=4=2b
\n" ); document.write( "b=2
\n" ); document.write( "b^2=4
\n" ); document.write( "..
\n" ); document.write( "Equation of given hyperbola:
\n" ); document.write( " $\"x%5E2%2F529-y%5E2%2F4=1\"$ \n" ); document.write( "

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