Question

Find the distance between A(-1, -1) and B(4, -5). Round your answer to the nearest tenth.

Answer 1

6.4 units (nearest tenth)

Explanation:

Distance between 2 points

`= \sqrt{(y1 - y2)^(2) + (x1 - x2)^(2) }`

Distance between A and B

`= \sqrt{[ - 1 - ( - 5)]^(2) + ( - 1 - 4)^(2) }`

`= \sqrt{( - 1 + 5)^(2) + ( - 1 - 4) {}^(2) }`

`= \sqrt{ {4}^(2) + ( - 5) {}^(2) }`

`= √(41)`

= 6.4 units (nearest tenth)