Question

The buildings of a university are mapped on a coordinate grid with the origin being at library.

The Math building is located at the point (1, 5) and the History building is located at (4, 9).

How far is it from the Math building to the History building?

Answer 1

Applying the distance formula, the distance between the the Math building to the History building is: 5 units.

What is the Distance Formula?

To find the distance between two given points on a coordinate grid, the distance formula which is used is: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$.

Given the following:

• Math Building (1, 5) = (x1, y1)
• History building (4, 9) = (x2, y2).

Plug in the values into the distance formula:

d = √[(4−1)² + (9 − 5)²]

d = √[(3)² + (4)²]

d = √(9 + 16)

d = √25

d = 5

Distance between the the Math building to the History building is: 5 units.

Learn more about the distance formula on:

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