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=√((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=√((x_2-x_1)^2+(y_2-y_1)^2)`

Substitute values into the formula

`Distance=√((2+2)^2+(6-5)^2)`

Simplify value in the parentheses

`Distance=√((4)^2+(1)^2)`

Simplify exponents

`Distance=√(16+1)`

Simplify by addition in the square root

`\boxed{Distance=√(17)}`

Hope this helps!! :)

Please let me know if you have any questions