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Sever21 [200]
3 years ago
13

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?​
Mathematics
2 answers:
Amiraneli [1.4K]3 years ago
8 0

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 )

Sladkaya [172]3 years ago
7 0

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 :

<u><em>Distance formula :</em></u>  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.

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