Question

find the distance between the points a and b (that is, find the length of the segment connecting them). round your answer to the nearest hundredth. 1 unit

Explanation:

Step1: Identify coordinates of A and B

Point A: (2, 8), Point B: (5, 5)

Step2: Apply distance formula

The distance formula is $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
Substitute values: $d=\sqrt{(5-2)^2+(5-8)^2}$

Step3: Calculate inside the square root

$\sqrt{(3)^2+(-3)^2}=\sqrt{9+9}=\sqrt{18}$

Step4: Compute and round to nearest hundredth

$\sqrt{18}\approx4.24$

Answer:

4.24 units