Question

Use the distance formula to find the length of segment QR if Q is (2,4) and R is (-3,9) Round to the nearest tenth

Answer 1

The answer is 7.1 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

Q (2,4) and R (-3,9)

The distance between them is

`|QR| = \sqrt{ ({2 + 3})^(2) + ( {4 - 9})^(2) } \\ = \sqrt{ {5}^(2) + ( { - 5})^(2) } \\ = √(25 + 25) \\ = √(50) \\ = 5 √(2) \\ = 7.0710678...`

We have the final answer as

7.1 units to the nearest tenth

Hope this helps you