Question

Find the distance between points A(2,3) and B(5,9) round to the nearest tenth

Answer 1

6.7

Explanation:

Answer 2

To calculate the distance between two points, we can use a formula that is a variation Pythagorean Theorem. Look:

`\mathsf{d=√((x_B-x_A)^2+(y_B-y_A)^2)}`

"d" represents the distance and coordinates are expressed as follows: (x, y)

Let's go to the calculations.

`\mathsf{d=√((x_B-x_A)^2+(y_B-y_A)^2)}\\\\ \mathsf{d=√((5-2)^2+(9-3)^2)}\\\\ \mathsf{d=√((3)^2+(6)^2)}\\\\ \mathsf{d=√(9+36)}\\\\ \mathsf{d=√(45)}\\\\ \mathsf{d=6.7082039324993690892275210061938...}\\\\ \underline{\mathsf{d\approxeq6.7}}`

The answer is 6.7 uc.