find the distance between the points a and b given below.
(that is, find the length of the segment connecting a and b.)
round your answer to the nearest hundredth.

Question

Accepted Answer

# Explanation:
## Step1: Determine the coordinates of points A and B
Assume $ A=(x_1,y_1)=(4,3) $ and $ B=(x_2,y_2)=(8,7) $ (by counting the grid units).
## Step2: Use the distance formula $ d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2} $
Substitute $ x_1 = 4,x_2 = 8,y_1 = 3,y_2 = 7 $ into the formula:
$$
\begin{align*}
d&=\sqrt{(8 - 4)^2+(7 - 3)^2}\
&=\sqrt{4^2+4^2}\
&=\sqrt{16 + 16}\
&=\sqrt{32}\
&=4\sqrt{2}\approx5.66
\end{align*}
$$

# Answer:
$5.66$

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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: