document.write( "Question 1191090: Find the equation of the hyperbola for each given conditions.\r
\n" ); document.write( "\n" ); document.write( "b. Center at (2,2), a focus at (10,2) and a vertex at (5,2). \n" ); document.write( "

Algebra.Com's Answer #822869 by MathLover1(20850) $\"\"$ $\"About$

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$\"%28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1\"$ \r
\n" ); document.write( "\n" ); document.write( "given:
\n" ); document.write( "Center at ( $\"2\"$ , $\"2\"$ )=> $\"h=2\"$ , $\"k=2\"$
\n" ); document.write( "a focus at ( $\"10\"$ , $\"2\"$ )=> focus is ( $\"h+-+c\"$ , $\"k+\"$ ) = ( $\"10\"$ , $\"2\"$ )=> $\"2+-+c=10\"$ => $\"2-10=c\"$ => $\"c=-8\"$
\n" ); document.write( "a vertex at ( $\"5\"$ ,2).=> ( $\"h+%2B+a\"$ , $\"k\"$ ) = ( $\"5\"$ , $\"2\"$ )=> $\"2+%2B+a=5\"$ => $\"a=2-5\"$ => $\"a=-3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"b%5E2=c%5E2-a%5E2\"$
\n" ); document.write( " $\"b%5E2=%28-8%29%5E2-%28-3%29%5E2\"$
\n" ); document.write( " $\"b%5E2=64-9\"$
\n" ); document.write( " $\"b%5E2=55\"$ \r
\n" ); document.write( "\n" ); document.write( "equation is:\r
\n" ); document.write( "\n" ); document.write( " $\"%28x-2%29%5E2%2F9-%28y-2%29%5E2%2F55=1\"$ \r
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