Respuesta :
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 = [tex]\sqrt{(-9+5)^2+(9-2)^2}[/tex]
= [tex]\sqrt{(-4)^2+7^2}[/tex]
= [tex]\sqrt{16+49}[/tex] = [tex]\sqrt{65}[/tex] ≈ 8 ( nearest unit )
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
[tex]D=\sqrt{(c-a)^2+(d-b)^2}.[/tex]
Therefore, the distance between the points (-5, 2) and (-9, 9) is given by
[tex]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.[/tex]
Rounding to the nearest units, we get
D = 8 units.
Thus, the required distance between my house and the subway stop is 8 units.
