Question

What is the distance between two points(2,-6)(-7,1)

Answer 1

Square root of 130

Explanation:

Use the distance formula:

`d = √((x_2 - x_1)^2 + (y_2-y_1)^2)`

`(x_(1), y_(1) )` is your first set of coordinates : (2, -6)

`(x_(2), y_(2) )`is your second set of coordinates : (-7, 1)

Answer 2

11.4

Explanation:

Find the distance in the x-direction between the x-components: 2 - (-7) = 9.

Similarly: between the y-components: 1 - (-6) = 7

Apply the Pythagorean Theorem: 9^2 + 7^2 = d^2, where d is the desired distance:

81 + 49 = d^2, or d^2 = 130

The distance d is approximately √130 ≈ 11.4