Respuesta :
Answer:
[tex]\large\boxed{VW=\sqrt{113}}[/tex]
Step-by-step explanation:
The formula of a distance between two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have the points W(4, 6) and V(-3, -2). Substitute:
[tex]VW=\sqrt{(-3-4)^2+(-2-6)^2}=\sqrt{(-7)^2+(-8)^2}=\sqrt{49+64}=\sqrt{113}[/tex]
Answer:
The length of VW = √113 units
Step-by-step explanation:
Distance formula
LetA(x₁, y₁) and B(x₂, y) be the two coordinates the
Length of AB = √(x₂ - x₁)² + (y₂ - y₁)²
To find Length of VW
Here W(4,6) and V(-3,-2)
VW = √(x₂ - x₁)² + (y₂ - y₁)²
= √[(-3 -4)² + (-2 - 6)²]
= √[(-7)² + (-8)²] = √(49 + 64) = √113
Therefore the length of VW = √113 units