which of the following is closest to the length of \overline{ef}?

Question

Accepted Answer

# Explanation:
## Step1: Find coordinates of points
From the graph, $E(-7,-1)$ and $F(1,6)$.
## Step2: Use distance formula
The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.
Here $x_1=-7,y_1 = - 1,x_2=1,y_2=6$.
Substitute into the formula:
$$
\begin{align*}
d&=\sqrt{(1-(-7))^2+(6 - (-1))^2}\
&=\sqrt{(1 + 7)^2+(6+1)^2}\
&=\sqrt{8^2+7^2}\
&=\sqrt{64 + 49}\
&=\sqrt{113}
\end{align*}
$$
## Step3: Approximate the value
$\sqrt{100}=10$, $\sqrt{121}=11$, and $113$ is closer to $121$ than $100$. $\sqrt{113}\approx10.6$

# Answer:
$10.6$

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QUESTION IMAGE

Question

Explanation:

Step1: Find coordinates of points

Step2: Use distance formula

Step3: Approximate the value

Answer: