document.write( "Question 636911: Find slopes of the asymptotes of the hyperbola with the equation \r
\n" ); document.write( "\n" ); document.write( "36 = 9x squared - 4y squared \n" ); document.write( "

Algebra.Com's Answer #401327 by lwsshak3(11628) $\"\"$ $\"About$

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Find slopes of the asymptotes of the hyperbola with the equation
\n" ); document.write( "36 = 9x squared - 4y squared
\n" ); document.write( "**
\n" ); document.write( "rewrite given equation
\n" ); document.write( "9x^2-4y^2=36
\n" ); document.write( "divide by 36
\n" ); document.write( "x^2/4-y^2/9=1
\n" ); document.write( "This is a hyperbola with horizontal transverse axis.
\n" ); document.write( "Its standard form: $\"%28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1\"$
\n" ); document.write( "For given equation: $\"x%5E2%2F4-y%5E2%2F9=1\"$
\n" ); document.write( "a^2=4
\n" ); document.write( "a=√4=2
\n" ); document.write( "b^2=9
\n" ); document.write( "b=√9=3
\n" ); document.write( "slopes of asymptotes for given hyperbola=ąb/a=ą3/2 \n" ); document.write( "

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