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

Answer:

12.04

Step-by-step 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

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

We have the final answer as

12.04 to the nearest hundredth

Hope this helps you