Question

Find the distance between points F(5, 3) and G(2, -7). Round to the nearest hundredth.

Answer 1

10.44 units (nearest hundredth)

Explanation:

Distance between 2 points

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

Distance between F and G

`= \sqrt{(3 - ( - 7))^(2) + (5 - 2)^(2) } \\ = \sqrt{ {(3 + 7)}^(2) + {3}^(2) } \\ = \sqrt{ {10}^(2) + 9 } \\ = √(109) \\ = 10.44 \: units \\ (nearest \: hundredth)`