Question

Find the distance between the pair of points. Round your answer to the nearest hundredth. (-8,19) and (3,5)

Answer 1

The answer is 17.80 units

Explanation:

The distance between two points can be found by using the formula

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

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-8,19) and (3,5)

The distance between them is

`d = \sqrt{ ({ - 8 - 3})^(2) + ({1 9 - 5})^(2) } \\ = \sqrt{( { - 11})^(2) + {14}^(2) } \\ = √(121 + 196) \\ = √(317) \: \: \: \: \: \: \: \: \: \: \: \: \\ = 17.804493...`

We have the final answer as

17.80 units to the nearest hundredth

Hope this helps you