document.write( "Question 980092: x^2-y^2=16 \n" ); document.write( "

Algebra.Com's Answer #601339 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x%5E2-y%5E2=16\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2%2F16-y%5E2%2F16=16%2F16\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2%2F4%5E2-y%5E2%2F4%5E2=1\"$ => you have hyperbola \r
\n" ); document.write( "\n" ); document.write( "if you compare it to $\"%28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1\"$ , you can see that $\"h=0\"$ and $\"k=0\"$ (so, the center is at origin), $\"a=4\"$ , and $\"b=4\"$ \r
\n" ); document.write( "\n" ); document.write( "center: ( $\"0\"$ , $\"+0\"$ )
\n" ); document.write( "foci :
\n" ); document.write( "( $\"-4sqrt%282%29\"$ , $\"0\"$ ) and ( $\"4sqrt%282%29\"$ , $\"0\"$ ) or
\n" ); document.write( "( $\"-5.7\"$ , $\"0\"$ ) and ( $\"5.7\"$ , $\"0\"$ )\r
\n" ); document.write( "\n" ); document.write( "vertices: ( $\"-4\"$ , $\"+0\"$ ) and ( $\"4\"$ , $\"0\"$ )\r
\n" ); document.write( "\n" ); document.write( "semimajor axis length $\"a=4\"$
\n" ); document.write( "semiminor axis length $\"b=4\"$ \r
\n" ); document.write( "\n" ); document.write( "eccentricity $\"e=+sqrt%282%29\"$ or $\"e=1.41\"$ \r
\n" ); document.write( "\n" ); document.write( "asymptotes $\"+y+=+x+\"$ and $\"y+=+-x\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );