Aparabolic microphone used on the sidelines of a professional football game uses a reflective dish 16 inch wide and 4 inch deep how far from the bottom of the disk should the microphone be placed?

The microphone should be placed 4 inches far from the bottom of the disk.

Step-by-step explanation:

If we put the parabolic microphone into the coordinate system with the vertex at the origin and facing to the right, then the equation of the parabola would have the form:

                .... (1)

Where, a is the distance between focus and vertex.

The microphone to be placed at focus.

The parabolic microphone used on the sidelines of a professional football game uses a reflective dish 16 inch wide and 4 inch deep. It means the parabola passing through the points (4,8) and (4,-8).

Put x=4 and y=8 in equation (1).

Divide both sides by 16.

Therefore, the microphone should be placed 4 inches far from the bottom of the disk.

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step-by-step explanation: