document.write( "Question 188514This question is from textbook Precalculus
\n" ); document.write( ": A satellite dish is shaped like a paraboloid of revolution. The signals that emanate from a satellite strike the surface of the dish and are reflected to a single point, where the receiver is located. If the dish is 10 feet across at its opening and 4 feet deep at its center, at what position should the receiver be placed? \n" ); document.write( "
Algebra.Com's Answer #141500 by nerdybill(7384)\"\" \"About 
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You are trying to find 'c' -- the distance between the vertex and the focus.
\n" ); document.write( "Think of the equation for a vertical parabola:
\n" ); document.write( "y = (1/4c)(x-h)^2 + k
\n" ); document.write( "If we place our parabola at the center our equation becomes:
\n" ); document.write( "y = (1/4c)x^2
\n" ); document.write( ".
\n" ); document.write( "The problem gives you a point on the parabola: (10,4)
\n" ); document.write( "Plug it in and solve for 'c':
\n" ); document.write( "y = (1/4c)x^2
\n" ); document.write( "4 = (1/4c)10^2
\n" ); document.write( "4 = (1/4c)100
\n" ); document.write( "4 = (1/c)25
\n" ); document.write( "4c = 25
\n" ); document.write( "c = 25/4
\n" ); document.write( "c = 6.25 feet\r
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