Question

Denzel wants to walk to the store from his house but he is not sure how far away it is. Find the distance between his house

(-8, -9) and the store (-4, -10). Each unit is equal to one mile. Round your answer to the nearest mile.



22 miles


4 miles


31 miles


17 miles

Answer 1

4 miles

Explanation:

Suppose we have two points:

`A = (x_(1), y_(1))`

`B = (x_(2), y_(2))`

The distance between these points is:

`D = \sqrt{(x_(2) - x_(1))^(2) + (y_(2) - y_(1))^(2)}`

In this question:

Points (-8, -9) and (-4, -10).

So the distance is:

`D = \sqrt{(-8 - (-4))^(2) + (-9 - (-10))^(2)} = √(17) = 4.12`

The distance is 4.12 miles.

Rounding to the nearest mile, 4 miles.