The parabola graphed below represents a side view of a parabolic microphone dish. The directrix is drawn in as well. The end of
the microphone is placed on a feedhorn that will need to be placed at the focus of the parabola to pick up the sound. The scale of the graph is in inches.
Based on the graph, the engineers should make the feedhorn _____ inches long.
Based on the graph, the engineers should make the feedhorn _____ inches long.
1 answer:
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So we have the following system of equations:
We need to solve it by substitution. This means that we have to take the expression for x given by the second equation and replace x with it in the first equation:
So y=-1. If we use this value in the second equation:
So we have x=2 and y=-1 which means that there's one solution. Then the correct answer is A and the solution is (2,-1).