Question

your answer is incorrect.
find the distance between the points a and b given below
(that is, find the length of the segment connecting a and b
round your answer to the nearest hundredth.
your answer
5.39 units
1 unit

Explanation:

Step1: Identify coordinates of A and B

Let the bottom-left corner of the grid be (0,0). Point A is at (3, 11), Point B is at (7, 5).

Step2: Apply distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$.
Substitute values: $d=\sqrt{(7-3)^2+(5-11)^2}$

Step3: Calculate differences and squares

$\sqrt{(4)^2+(-6)^2}=\sqrt{16+36}$

Step4: Sum and compute square root

$\sqrt{52}\approx7.21$

Answer:

7.21 units