Question

In a rectangular coordinate plane what is the distance between points (-3,0) and (3,8)

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=√((3-(-3))^2+(8-0)^2)}\\\\ \mathsf{d=√((3+3)^2+(8)^2)}\\\\ \mathsf{d=√((6)^2+64)}\\\\ \mathsf{d=√(36+64)}\\\\ \mathsf{d=√(100)}\\\\ \underline{\mathsf{d=10}}`

The answer is 10 uc.