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

Otras preguntas

Which type of classified data would cause exceptionally grave damage to national security if exposed?
your best friend is about 21 and you want to send him a box full of Ping-Pong balls. you have a square box measuring 12 inches on each side and you wonder how m
Something times somthing =54
A word-for-word reference to a text is called a
What does p equal when p=210e^(0.0069*20)?
What is the simplified from of 4x^2-25 over 2x-5?
what is the general term for water vapor in the air and can you please try answering the rest of them please
If you invest money, after a certain period of time you’ll get interest. For example, if you invest $2,000 at 5% annual interest rate, in a year you will have $
Using FLAT_FEE_CENTS and CENTS_PER_POUND constants, assign shipCostCents with the cost of shipping a package weighing shipWeightPounds
Heat transfer between two substances is affected by specific heat and the