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A parabola reflector is 15 cm deep and i...

A parabola reflector is 15 cm deep and its focus is at a distance of 5 cm from its vertex. Find the diameter of the reflector.

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To solve the problem of finding the diameter of a parabolic reflector that is 15 cm deep with its focus located 5 cm from the vertex, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Geometry of the Parabola**: - The vertex of the parabola is at the origin (0, 0). - The focus is located at (5, 0) since it is 5 cm from the vertex along the x-axis. - The depth of the parabola is given as 15 cm, which means the y-coordinate of the point where the parabola intersects the line y = -15 is -15. ...
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