Question

find the length of ab.
tuesday 2.10

Explanation:

Step1: Identify coordinates of A and B

Point A: $(2, 9)$, Point B: $(8, 2)$

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: $d=\sqrt{(8-2)^2+(2-9)^2}$

Step3: Calculate differences and squares

$\sqrt{6^2+(-7)^2}=\sqrt{36+49}$

Step4: Sum and simplify square root

$\sqrt{85}$

Answer:

$\sqrt{85}$ (or approximately 9.22 if a decimal is needed)