document.write( "Question 1180755: Find an equation of the ellipse having a major axis of length 8 and Foci at (1,2) and (-3,2) \n" ); document.write( "
Algebra.Com's Answer #810521 by MathLover1(20850)\"\" \"About 
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an equation of the ellipse:\r
\n" ); document.write( "\n" ); document.write( "\"%28x-h%29%2Fa%5E2%2B%28y-k%29%2Fb%5E2=1\"\r
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\n" ); document.write( "\n" ); document.write( "a major axis of length \"8\": =>\"2a=8\"=>\"a=4\"\r
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\n" ); document.write( "\n" ); document.write( " Foci at (\"1\",\"2\") and (\"-3\",\"2\")=> center is half way between\r
\n" ); document.write( "\n" ); document.write( "(\"h\",\"k\")=(\"1%2B%28-3%29%29%2F2\",\"2\")=(\"-1\",\"2\")\r
\n" ); document.write( "\n" ); document.write( "center: (\"h\",\"k\")=(\"-1\",\"2\")\r
\n" ); document.write( "\n" ); document.write( "-> since \"c\" is the distance from the focus to center
\n" ); document.write( "\"c=2\"\r
\n" ); document.write( "\n" ); document.write( "\"b=sqrt%28a%5E2-c%5E2%29\"
\n" ); document.write( "\"b=sqrt%284%5E2-2%5E2%29\"
\n" ); document.write( "\"b=sqrt%2816-4%29\"
\n" ); document.write( "\"b=sqrt%2812%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28x-%28-1%29%29%5E2%2F4%5E2%2B%28y-2%29%5E2%2F%28sqrt%2812%29%29%5E2=1\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x%2B1%29%5E2%2F16%2B%28y-2%29%5E2%2F12=1\"\r
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