document.write( "Question 1158928: Write the equation of each ellipse or hyperbola.
\n" ); document.write( "13. A vertical ellipse has a focus (−6,1). It has a co-vertex of (-10, -7)\r
\n" ); document.write( "\n" ); document.write( "The correct answer is:
\n" ); document.write( " $\"%28%28x%2B6%29%5E2%29%2F16+%2B+%28%28y%2B7%29%5E2%29%2F80+=+1\"$
\n" ); document.write( "However, I do not know how to do the work to get the answer \n" ); document.write( "

Algebra.Com's Answer #781911 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "A vertical ellipse has a focus ( $\"-6\"$ , $\"1\"$ ). It has a co-vertex of ( $\"-10\"$ , $\"-7\"$ )\r
\n" ); document.write( "\n" ); document.write( "formula for ellipse a $\"vertical\"$ is:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1\"$ \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "co-vertex ( $\"h-b\"$ , $\"k\"$ ) and ( $\"h%2Bb\"$ , $\"k\"$ )\r
\n" ); document.write( "\n" ); document.write( "if one co-vertex of ( $\"-10\"$ , $\"-7\"$ ), then =>\r
\n" ); document.write( "\n" ); document.write( " $\"h-b=-10\"$ , $\"k=-7\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "focus is at ( $\"h\"$ , $\"k%2Bc\"$ ) and ( $\"h\"$ , $\"k-c\"$ ) \r
\n" ); document.write( "\n" ); document.write( "if one focus ( $\"-6\"$ , $\"1\"$ ) , then \r
\n" ); document.write( "\n" ); document.write( " $\"h=-6\"$ ,
\n" ); document.write( " $\"k%2Bc=1\"$ , ->since $\"k=-7\"$
\n" ); document.write( " $\"-7%2Bc=1\"$
\n" ); document.write( " $\"c=8\"$ \r
\n" ); document.write( "\n" ); document.write( "the other one focus is at
\n" ); document.write( "( $\"-6\"$ , $\"-7-8\"$ )=( $\"-6\"$ , $\"-15\"$ )\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The center is half way between, at ( $\"-6\"$ , $\"-7\"$ ) \r
\n" ); document.write( "\n" ); document.write( "since \r
\n" ); document.write( "\n" ); document.write( " $\"h-b=-10\"$ and $\"h=-6\"$ => $\"-6-b=-10\"$ => $\"-6%2B10=b\"$ ->
\n" ); document.write( " $\"b=4\"$ \r
\n" ); document.write( "\n" ); document.write( "other co-vertex is at ( $\"h%2Bb\"$ , $\"k\"$ )=( $\"-6-4\"$ , $\"-7\"$ )=( $\"-2\"$ , $\"-7\"$ )\r
\n" ); document.write( "\n" ); document.write( "find $\"a\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"c%5E2=a%5E2-b%5E2\"$
\n" ); document.write( " $\"8%5E2=a%5E2-4%5E2\"$
\n" ); document.write( " $\"a%5E2=64%2B16\"$
\n" ); document.write( " $\"a%5E2=80\"$ \r
\n" ); document.write( "\n" ); document.write( "and your equation is:\r
\n" ); document.write( "\n" ); document.write( " $\"%28x%2B6%29%5E2%2F16%2B%28y%2B7%29%5E2%2F80=1\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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