Suppose you have seismograph data from two recording stations for an earthquake. you have calculated the distance of the epicenter from each station, which is indicated with the circles shown below. what do you know about where the epicenter of the earthquake was located?

The correct answer is "The epicenter was either at location 1 or 2".

Explanation:

At least the information of three recording stations are necessary to undoubtedly calculate the location of an earthquake epicenter. The point at which the three circles overlap will mark the location of the epicenter. In this case we only have the seismograph data from two recording stations, therefore is not possible to determine the location of the epicenter. However, we can determine that the epicenter was either at location 1 or 2, the two points at which the circles overlap. I attached the missing figure.

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