Question

What is the distance between (2,6) and (-2,5)? Round your answer to the nearest tenth.​

Answer 1

Answer: Distance = √17

Concept:

Here, we need to know the concept of the distance formula.    

The distance formula is the formula, which is used to find the distance between any two points.

Distance Formula = $Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

If you are still confused, please refer to the attachment below for a clear version of the formula.

Solve:

Given information

(x₁, y₁) = (-2, 5)

(x₂, y₂) = (2, 6)

Given formula

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute values into the formula

$Distance=\sqrt{(2+2)^2+(6-5)^2}$

Simplify value in the parentheses

$Distance=\sqrt{(4)^2+(1)^2}$

Simplify exponents

$Distance=\sqrt{16+1}$

Simplify by addition in the square root

$\boxed{Distance=\sqrt{17}}$

Hope this helps!! :)

Please let me know if you have any questions