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

Answer:

4 miles

Step-by-step 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:

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

The distance is 4.12 miles.

Rounding to the nearest mile, 4 miles.