Question

Calculate the distance between points (-8,-2) and (4,3)

Answer 1

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

`\mathsf{d=√((x_2-x_1)^2+(y_2-y_1)^2)}`

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

Let's go to the calculations.

`\mathsf{d=√((x_2-x_1)^2+(y_2-y_1)^2)}\\\\ \mathsf{d=√((4-(-8))^2+(3-(-2))^2)}\\\\ \mathsf{d=√((4+8)^2+(3+2)^2)}\\\\ \mathsf{d=√((12)^2+(5)^2)}\\\\ \mathsf{d=√(144+25)}\\\\ \mathsf{d=√(169)}\\\\ \underline{\mathsf{d=13}}`

The answer is 13 uc.