Question

You map several locations in your home town using a coordinate plane in which each unit represents 1 mile. your school is at (-5, 7), your friend’s apartment is at (2, -1), and your apartment is at (2, 7). Is your apartment closer to school or your friend’s apartment?

Answer 1

Using the distance formula to calculate the distances, we can conclude that, your apartment is closer to the school than that of your friend's.

How to Apply the Distance Formula?

The distance formula is given as: d = $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$. You can use it to calculate the distance between two points, if given their coordinates.

Find the distance from your school (-5, 7) to your friend's apartment (2, -1) using the distance formula:

d = √[(2−(−5))² + (−1−7)²]

d = √[(7)² + (−8)²]

d = √(49 + 64)

d = √113

d ≈ 10.6 units

Find the distance from your school (-5, 7) to your apartment (2, 7) using the distance formula:

d = √[(2−(−5))² + (7−7)²]

d = √[(7)² + (0)²]

d = √(49 + 0)

d = √49

d = 7 units

Therefore, we can conclude that your apartment is closer to the school than that of your friend's.

Learn more about the distance formula on:

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