document.write( "Question 1170110: A lamp whose bulb is placed on the focus has a focal diameter of 12 cm.
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Algebra.Com's Answer #795022 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"%28x-h%29%5E2=4a%28y-k%29\"\r\n" );
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document.write( "where (h,k) = (0,0) = the vertex and 4a = focal diameter\r\n" );
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document.write( "\"matrix%281%2C3%2C%0D%0Ax%5E2%2C%0D%0A%22%22=%22%22%2C%0D%0A12y%29\"\r\n" );
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document.write( "The black line is the focal diameter.\r\n" );
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document.write( "We want the length of the red line.\r\n" );
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document.write( "The end points are where y=20\r\n" );
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document.write( "\"matrix%281%2C3%2C%0D%0Ax%5E2%2C%0D%0A%22%22=%22%22%2C%0D%0A12y%29\"\r\n" );
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document.write( "\"matrix%281%2C3%2C%0D%0Ax%5E2%2C%0D%0A%22%22=%22%22%2C%0D%0A12%2820%29%29\"\r\n" );
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document.write( "\"matrix%281%2C3%2C%0D%0Ax%5E2%2C%0D%0A%22%22=%22%22%2C%0D%0A240%29\"\r\n" );
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document.write( "\"matrix%281%2C3%2C%0D%0Ax%2C%0D%0A%22%22=%22%22%2C%0D%0A%22%22+%2B-+sqrt%28240%29%29\"\r\n" );
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document.write( "\"matrix%281%2C3%2C%0D%0Ax%2C%0D%0A%22%22=%22%22%2C%0D%0A%22%22+%2B-+sqrt%2816%2A15%29%29\"\r\n" );
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document.write( "\"matrix%281%2C3%2C%0D%0Ax%2C%0D%0A%22%22=%22%22%2C%0D%0A%22%22+%2B-+4sqrt%2815%29%29\"\r\n" );
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document.write( "So the red line is twice the absolute value of x.\r\n" );
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document.write( "Answer: \"8sqrt%2815%29\", about 30.98\r\n" );
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document.write( "Edwin
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