Question

Find the distance between the two points (2, -9) and (-1, 4) round to the nearest tenth .

Answer 1

13.3 units (nearest tenth)

Explanation:

`\boxed{Distance \: between \: 2 \: points = \sqrt{ {(x1 - x2)}^(2) + {(y1 - y2)}^(2) } }`

Using the formula above, distance

`= \sqrt{ {[2 - ( - 1)]}^(2) + ( - 9 - 4)^(2) }`

`= \sqrt{ {(2 + 1)}^(2) + ( - 13) {}^(2) }`

`= \sqrt{ {3}^(2) + ( - 13) {}^(2) }`

`= √(9 + 169)`

`= √(178)`

= 13.3 units (nearest tenth)