Question

Find the distance between -5,7 and 4,-2

Answer 1

Exact Form:
9
√
2
Decimal Form:
12.72792206

Answer 2

`9 √(2) \: \: \: or \: \: \: 12.73 \: \: \: \: 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

(-5,7) and (4,-2)

The distance between them is

`d = \sqrt{ ({ - 5 - 4})^(2) + ({7 + 2})^(2) } \\ = \sqrt{( { - 9})^(2) + {9}^(2) } \\ = √(81 + 81) \\ = √(162) \: \: \: \: \: \: \: \: \\ = 9 √(2) \: \: \: \: \: \: \: \: \: \: \: \\ = 12.72792...`

We have the final answer as

`9 √(2) \: \: \: or \: \: \: 12.73 \: \: \: \: units`

Hope this helps you