Question

find the distance between the points a and b g(that is, find the length of the segment conneround your answer to the nearest hundredth. 1 unit

Explanation:

Step1: Identify coordinates of A and B

From the grid, let A = $(3, 3)$ and B = $(6, 6)$ (counting grid units from the bottom-left origin).

Step2: Apply distance formula

The distance $d$ 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: $d=\sqrt{(6-3)^2+(6-3)^2}$

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