Question

Question

Use the distance formula to find the distance between the points (1, -7) and (9,6).
(Write your answer in exact form.)
Provide your answer below:
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Answer 1

`√(233)`

Explanation:

Given:

(1, -7) and (9, 6)

Required:

Distance between the two points

Solution:

Distance formula is given as
`d = √((x_2 - x_1)^2 + (y_2 - y_1)^2)`

Let,

`(1, -7) = (x_1, y_1)`

`(9, 6) = (x_2, y_2)`

Plug in the values

Distance between both points =
`d = √((9 - 1)^2 + (6 -(-7))^2)`

`d = √((8)^2 + (13)^2)`

`d = √(64 + 169)`

`d = √(233)`