Question

A grid shows the positions of a subway stop and your house. The subway stop is located at (-5,2) and your house is located at (-9,9). what is the distance, to the nearest unit, between your house and the subway stop?​

Answer 1

Answer:

8

Step-by-step explanation:

Calculate the distance (d) using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 5, 2) and (x₂, y₂ ) = (- 9, 9)

d = $\sqrt{(-9+5)^2+(9-2)^2}$

  = $\sqrt{(-4)^2+7^2}$

  = $\sqrt{16+49}$ = $\sqrt{65}$ ≈ 8 ( nearest unit )

Answer 2

Answer:  The required distance between my house and the subway stop is 8 units.

Step-by-step explanation:  Given that a grid shows the positions of a subway stop and my house. The subway stop is located at (-5,2) and my house is located at (-9,9).

We are to find the distance, to the nearest unit, between my house and the subway stop.

We will be using the following formula :

Distance formula :  The distance between the points (a, b) and (c, d) is given by

$D=\sqrt{(c-a)^2+(d-b)^2}.$

Therefore, the distance between the points (-5, 2) and (-9, 9) is given by

$D\\\\=\sqrt{(-9-(-5))^2+(9-2)^2}\\\\=\sqrt{(-9+5)^2+7^2}\\\\=\sqrt{4^2+49}\\\\=\sqrt{16+49}\\\\=\sqrt{65}\\\\=8.06.$

Rounding to the nearest units, we get

D = 8 units.

Thus, the required distance between my house and the subway stop is 8 units.