document.write( "Question 698944: graph the ellipse given by (x-5)^2/81+(y-9)^2/25=1 \n" ); document.write( "
Algebra.Com's Answer #431127 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Ellipses like this \"drawing%2820%2C10%2C-2%2C2%2C-1%2C1%2Carc%280%2C0%2C-3.9%2C1.9%29+%29\" have equations of this form with aČ under the term in x \r\n" );
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document.write( "\"%28x-h%29%5E2%2Fa%5E2\"\"%22%22%2B%22%22\"\"%28y-k%29%5E2%2Fb%5E2\"\"%22%22=%22%22\"\"1\"\r\n" );
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document.write( "Ellipses like this \"drawing%2810%2C20%2C-1%2C1%2C-2%2C2%2Carc%280%2C0%2C1.9%2C-3.9%29+%29\" have equations of this form with aČ under the term in y \r\n" );
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document.write( "\"%28x-h%29%5E2%2Fb%5E2\"\"%22%22%2B%22%22\"\"%28y-k%29%5E2%2Fa%5E2\"\"%22%22=%22%22\"\"1\"\r\n" );
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document.write( "a is always greater than b, and of course aČ is greater than bČ.\r\n" );
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document.write( "\"%28x-h%29%5E2%2Fb%5E2\"\"%22%22%2B%22%22\"\"%28y-k%29%5E2%2Fa%5E2\"\"%22%22=%22%22\"\"1\"\r\n" );
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document.write( "The center is (h,k), the semi-major axis is a, the semi minor axis is b.\r\n" );
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document.write( "\"%28x-5%29%5E2%2F81\"\"%22%22%2B%22%22\"\"%28y-9%29%5E2%2F25\"\"%22%22=%22%22\"\"1\"\r\n" );
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document.write( "Since the denominator 81 is larger than the denominator 25, so we know\r\n" );
document.write( "this is an ellipse that looks like this \"drawing%2820%2C10%2C-2%2C2%2C-1%2C1%2Carc%280%2C0%2C-3.9%2C1.9%29+%29\" \r\n" );
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document.write( "By comparison h=5, k=9, aČ=81, bČ=25, and so a=9, b=5\r\n" );
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document.write( "So the center is (h,k) = (5,9). The major axis is 2a=18, and the minor\r\n" );
document.write( "axis is 2b=10, and the two axes bisect each other at the center (5,9), \r\n" );
document.write( "so we draw this:\r\n" );
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document.write( "Edwin
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