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

Answer:

The answer is 7.1 units

Step-by-step 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

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

We have the final answer as

7.1 units to the nearest tenth

Hope this helps you