diannabaker101
diannabaker101 diannabaker101
  • 13-06-2021
  • Mathematics
contestada

What is the distance between the points (2, -3) and (-6, 4) on the coordinate
plane?
A. 4.12 units
B. 3.87 units
C. 10.63 units
D. 8.06 units

Respuesta :

xKelvin
xKelvin xKelvin
  • 13-06-2021

Answer:

C) 10.63 units.

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have the two points (2, -3) and (-6, 4). Let (2, -3) be (x₁, y₁) and let (-6, 4) be (x₂, y₂). Substitute:

[tex]d=\sqrt{(-6-2)^2+(4-(-3))^2}[/tex]

Simplify:

[tex]d=\sqrt{(-8)^2+(7)^2}[/tex]

Evaluate:

[tex]d=\sqrt{64+49}=\sqrt{113}\approx10.63\text{ units}[/tex]

Our answer is C.

Answer Link

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