Question

Radio station WARG is located at (-16, 0) on a coordinate grid. Station WERK is located at (22, 10). If WARG has a range of 24 units and WERK has a range of 20 units, will the two stations ever reach the same audience? Explain your reasoning.

Answer 1

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Step-by-step explanation:

The distance between the 2 points , (22,10) and (-16,0) is:

`d=\sqrt {(22+16)^2+(10-0)^2}`

Distance between the two radio stations = 39.2938 units

The range of radio station WARG = 24 units

The range of radio station WERK = 20 uints

As, 39.2938 units is less than 44 units (24+20 units), it means that the 2 circles have some common area. Thus, The two stations can reach the same audience.

A image is shown below to explain the scenario explained in the question.