Question

Find the distance between the two points. Write your answer as a decimal rounded to the hundredths place if needed.

(-9,1) and (-10, -11)​

Answer 1

12.04

Explanation:

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

`d = \sqrt{ ({x_1 - x_2})^(2) + ({y_1 - y_2})^(2) } \\`

From the question we have

`d = \sqrt{ ({ - 9 - - 10})^(2) + ({1 - - 11})^(2) } \\ = \sqrt{ ({ - 9 + 10})^(2) + ({1 + 11})^(2) } \\ = \sqrt{ {1}^(2) + {12}^(2) } \\ = √(1 + 144) \\ = √(145) \: \: \: \: \: \: \: \: \\ = 12.041594`

We have the final answer as

12.04 to the nearest hundredth

Hope this helps you