Question #d744c

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Question #d744c

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Answer 1 · 2017-03-10T15:00:55

$5$ $5$ feet.

Explanation:

Let's assume that the equation describes the distances in feet.

So, the graph of ${(x + 15)}^{2} + {(y - 12)}^{2} = 25$ $(x + 15)^2 + (y - 12)^2 = 25$ is of the form ${(x - p)}^{2} + {(y - q)}^{2} = r^{2}$ $(x - p)^2 + (y - q)^2 = r^2$ , which is a circle. The radius, $r$ $r$ will stretch to the circumference on all sides of the centre, so it will determine how far you can step without losing contact with the motion detector.

Here, $r^{2} = 25$ $r^2 = 25$ , so $r = 5$ $r = 5$ (the radius must be positive).

Therefore, you can step $5$ $5$ feet in any direction and be detected.

Hopefully this helps!

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Question #d744c

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