Question

Find the distance between the points (9,4) and (2,10).

Answer 1

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`√((2-9)^2 + (10-4)^2) =\\ \\\\\\√((-7)^2+(6)^2 =\\)\\ \\\\√(49+36) = √(85)`

The distance between points (9, 4) and (2, 10) is √85

Answer 2

Hello!

Answer:

`\Large \boxed{\sf distance = √(85) }`

Explanation:

The distance between two points can be found using the distance formula:

`\sf distance = √(((x2 - x1)^2 + (y2 - y1)^2))`

Where:

(x1, y1) and (x2, y2) are the coordinates of the two points.

In our case:

`\sf x1 = 9\\y1 = 4\\x2 = 2\\y2 = 10`

Let's replace x1, y1, x2 and y2 by 9, 4, 2 and 10:

`\sf distance = √((2 - 9)^2 + (10 - 4)^2)\\\\distance = √((-7)^2 + (6)^2)\\\\distance =√(49+36)\\\\\boxed{\sf distance = √(85) }`

Conclusion:

The distance between the points (9,4) and (2,10) is √85.