Question

Find the missing values in the following working that is used to find the distance between points (1, 10) and

(-5, -8).
distance =
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Answer 1

18.67 miles.is the answer

Answer 2

The answer is

`6 √(10) \: \: \: or \: \: \: 18.97 \: \: \: \: 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

(1, 10) and(-5, -8)

The distance is

`d = \sqrt{ ( {1 + 5})^(2) + ({10 + 8})^(2) } \\ = \sqrt{ {6}^(2) + {18}^(2) } \\ = √(36 + 324) \\ = √(360) \\ = 6 √(10) \\ = 18.9736659`

We have the final answer as

`6 √(10) \: \: \: or \: \: \: 18.97 \: \: \: \: units`

Hope this helps you