Question

Find the distance between (3,4) and (4,-6).

Answer 1

The answer is

`√(101)`

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

(3,4) and (4,-6)

The distance between them is

`d = \sqrt{ ({3 - 4})^(2) + ({4 + 6})^(2) } \\ = \sqrt{ ({ - 1})^(2) + {10}^(2) } \\ = √(1 + 100 ) \: \: \: \: \: \: \: \: \: \\ = √(101) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:`

We have the final answer as

`√(101)`

Hope this helps you