document.write( "Question 1088558: Hello, could someone please help me with the following problem? I am supposed to provide the equation of the asymptotes for the hyperbola:
\n" ); document.write( "4y^2-x^2=36. Thank you for your assistance! \n" ); document.write( "

Algebra.Com's Answer #702846 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"4y%5E2-x%5E2=36\"$ in standard form $\"%28y-k%29%5E2%2Fa%5E2-%28x-h%29%5E2%2Fb%5E2=1\"$ , we have\r
\n" ); document.write( "\n" ); document.write( " $\"4y%5E2%2F36-x%5E2%2F36=36%2F36\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y%5E2%2F9-x%5E2%2F36=36%2F36\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y%5E2%2F3%5E2-x%5E2%2F6%5E2=1\"$ => $\"h=0\"$ , $\"k=0\"$ , $\"a=3\"$ , and $\"b=6\"$ \r
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\n" ); document.write( "\n" ); document.write( "foci: ( $\"0\"$ , $\"-3sqrt%285%29\"$ ) and ( $\"0\"$ , $\"3sqrt%285%29\"$ )≈( $\"0\"$ , $\"-6.7\"$ ) and ( $\"0\"$ , $\"6.7\"$ )\r
\n" ); document.write( "\n" ); document.write( "vertices:( $\"0\"$ , $\"-3\"$ ) and ( $\"0\"$ , $\"3\"$ )\r
\n" ); document.write( "\n" ); document.write( "center: ( $\"0\"$ , $\"0\"$ )
\n" ); document.write( "semi-major axis length: $\"+3\"$
\n" ); document.write( "semi-minor axis length: $\"6\"$ \r
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\n" ); document.write( "\n" ); document.write( "asymptotes equation: $\"y\"$ = ą $\"%28a%2Fb%29%28x-k%29%2Bh\"$ ; since $\"h=0\"$ , $\"k=0\"$ , $\"a=3\"$ , and $\"b=6\"$
\n" ); document.write( "we have:
\n" ); document.write( " $\"y\"$ = ą $\"%283%2F6%29%28x-0%29%2B0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y+=+x%2F2+\"$ or $\"y+=+-x%2F2\"$ \r
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