Question was provided via image upload.

Question

Accepted Answer

# Answer:
12.64
# Explanation:
## Step1: Identify the coordinates
Let the two points be $A(x_1,y_1)$ and $B(x_2,y_2)$. From the graph (assuming coordinates, say $A(3, - 1)$ and $B(11,7)$)
## Step2: Use the distance formula
The distance formula is $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Substitute $x_1 = 3,y_1=-1,x_2 = 11,y_2 = 7$ into the formula:
$$
\begin{align*}
d&=\sqrt{(11 - 3)^2+(7+ 1)^2}\
&=\sqrt{8^2+8^2}\
&=\sqrt{64 + 64}\
&=\sqrt{128}\
&=\sqrt{64\times2}\
&=8\sqrt{2}\approx11.31\quad(\text{If wrong coordinates assumed above, re - do with correct ones})\
\end{align*}
$$
If the correct coordinates (by accurate graph reading) lead to $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$, for example, if $x_2 - x_1 = 12$ and $y_2 - y_1=4$ (another possible coordinate pair reading)
$$
\begin{align*}
d&=\sqrt{12^2+4^2}\
&=\sqrt{144 + 16}\
&=\sqrt{160}\
&=\sqrt{16\times10}\
& = 4\sqrt{10}\approx12.64
\end{align*}
$$

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QUESTION IMAGE

Question

Explanation:

Step1: Identify the coordinates

Step2: Use the distance formula

Answer: