Question

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

Explanation:

Step1: Identify coordinates of points

Point \( A(-3,5) \), point \( B(6,2) \).

Step2: Use distance formula

Distance formula \( d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2} \).
Substitute \( x_1=-3,y_1 = 5,x_2=6,y_2=2 \):
\( d=\sqrt{(6-(-3))^2+(2 - 5)^2}=\sqrt{(6 + 3)^2+(-3)^2}=\sqrt{9^2+(-3)^2}=\sqrt{81 + 9}=\sqrt{90}\approx9.5 \)

Answer:

\( 9.5 \)