document.write( "Question 704005: write the equation of the hyperbola with a center at (0,0) vertices along the major axis at (5,0) and (-5,0) and minor axis with a length of 4 \n" ); document.write( "

Algebra.Com's Answer #433877 by lwsshak3(11628) $\"\"$ $\"About$

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write the equation of the hyperbola with a center at (0,0) vertices along the major axis at (5,0) and (-5,0) and minor axis with a length of 4.
\n" ); document.write( "**
\n" ); document.write( "I will assume what you call major and minor axis are transverse and conjugate axis respectively, for a hyperbola.
\n" ); document.write( "Standard form of an 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) coordinates of the center.
\n" ); document.write( "For given hyperbola:
\n" ); document.write( "given center: (0,0)
\n" ); document.write( "length of horizontal transverse axis=10 (-5 to 5)=2a
\n" ); document.write( "a=5
\n" ); document.write( "a^2=25
\n" ); document.write( "given length of conjugate axis=4=2b
\n" ); document.write( "b=2
\n" ); document.write( "b^2=4
\n" ); document.write( "..
\n" ); document.write( "Equation:
\n" ); document.write( " $\"x%5E2%2F25-y%5E2%2F4=1\"$ \n" ); document.write( "

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