Question

What is the distance between the building B (4, 6) and the station K (–6, –2)? Use a calculator to round to the nearest tenth.

Answer 1

The answer is

12.8 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

B (4, 6) and K (–6, –2)

The distance is

`|BK| = \sqrt{ ({4 + 6})^(2) + ({6 + 2})^(2) } \\ = \sqrt{ {10}^(2) + {8}^(2) } \: \: \: \: \: \: \: \: \: \\ = √(100 + 64) \: \: \: \: \: \: \: \: \: \\ = √(164) \\ = 2 √(41) \\ = 12.80`

We have the final answer as

12.8 to the nearest tenth

Hope this helps you