determine the length of the segment graphed below. if necessary, express your answer in simplest radical form.

Question

Accepted Answer

# Explanation:
## Step1: Identify the coordinates of the two endpoints
The two endpoints of the segment are $(-6,0)$ and $(4,6)$.
## Step2: Use the distance formula $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$
Let $(x_1,y_1)=(-6,0)$ and $(x_2,y_2)=(4,6)$.
Substitute into the formula:
$$
\begin{align*}
d&=\sqrt{(4-(-6))^2+(6 - 0)^2}\
&=\sqrt{(4 + 6)^2+6^2}\
&=\sqrt{10^2+6^2}\
&=\sqrt{100 + 36}\
&=\sqrt{136}\
&=\sqrt{4\times34}\
&=2\sqrt{34}
\end{align*}
$$

# Answer:
$2\sqrt{34}$

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QUESTION IMAGE

Question

Explanation:

Step1: Identify the coordinates of the two endpoints

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

Answer: