document.write( "Question 848626: This is a multiple choice question. The graph of the equation \"4x%5E2+%2B+16y%5E2+=+25\" is; a. a circle, b. a hyperbola, c. an ellipse, d. a parabola\r
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Algebra.Com's Answer #511222 by swincher4391(1107)\"\" \"About 
You can put this solution on YOUR website!
I know you ruled out a and b. I just want to explain why they are ruled out for future viewers.\r
\n" ); document.write( "\n" ); document.write( "a) Equation of a circle is \"%28x-h%29%5E2+%2B+%28y-k%29%5E2++=+r%5E2\"where (h,k) is the center of the circle. This is not the case.\r
\n" ); document.write( "\n" ); document.write( "b) Equation of a hyperbola is \"%28%28x-h%29%5E2%29%2Fa%5E2+-+%28%28y-k%29%5E2%29%2Fb%5E2+=+r%5E2\" Close, but this is not subtraction.\r
\n" ); document.write( "\n" ); document.write( "c) Equation of an ellipse is \"%28%28x-h%29%5E2%29%2Fa%5E2+%2B%28%28y-k%29%5E2%29%2Fb%5E2+=+r%5E2\" This is correct with h = 0, k =0 , r= 5 , a = (1/2) and b = (1/4). <---- ANS\r
\n" ); document.write( "\n" ); document.write( "d) A parabola is simply another name for a quadratic \"ax%5E2%2Bbx%2Bc+=+0\".\r
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