Question

to the nearest tenth of a unit, what is the distance between points a and b?

Explanation:

Step1: Identify coordinates of A and B

Point A: (-3, 5); Point B: (6, 2)

Step2: Apply distance formula

Distance formula: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$
Substitute values: $d = \sqrt{(6 - (-3))^2 + (2 - 5)^2} = \sqrt{9^2 + (-3)^2} = \sqrt{81 + 9} = \sqrt{90}$

Step3: Calculate and round

$\sqrt{90} \approx 9.4868$, round to nearest tenth: 9.5

Answer:

9.5