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

1 Answer

7 votes

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

User Jzbruno
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