to the nearest tenth of a unit, what is the distance between points a and b? (1 point) 10.4 units 9.0 units 10.0 units 10.2 units

Question

Accepted Answer

# Explanation:
## Step1: Determine the coordinates of points A and B
From the graph, point $A(-3,5)$ and point $B(6,2)$

## Step2: Use the distance formula $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$
Here $x_1=-3,y_1 = 5,x_2=6,y_2=2$
$$
\begin{align*}
d&=\sqrt{(6-(-3))^2+(2 - 5)^2}\
&=\sqrt{(6 + 3)^2+(-3)^2}\
&=\sqrt{9^2+(-3)^2}\
&=\sqrt{81 + 9}\
&=\sqrt{90}\
&\approx9.5
\end{align*}
$$

# Answer:
$9.5$ units

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QUESTION IMAGE

Question

Explanation:

Step1: Determine the coordinates of points A and B

Step2: Use the distance formula \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)

Answer: