what is the length of vw?
a. 16 units
b. \sqrt{13} units
c. 20 units
d. \sqrt{20} units

Question

Accepted Answer

# Explanation:
## Step1: Find coordinates of $V$ and $W$
From the graph, $V(-2,2)$ and $W(-4,-2)$
## Step2: Use distance formula $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$
Let $(x_1,y_1)=(-2,2)$ and $(x_2,y_2)=(-4,-2)$
$$
\begin{align*}
d&=\sqrt{(-4 - (-2))^2+(-2 - 2)^2}\
&=\sqrt{(-4 + 2)^2+(-4)^2}\
&=\sqrt{(-2)^2+(-4)^2}\
&=\sqrt{4 + 16}\
&=\sqrt{20}
\end{align*}
$$

# Answer:
D. $\sqrt{20}$ units

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QUESTION IMAGE

Question

Explanation:

Step1: Find coordinates of \(V\) and \(W\)

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

Answer: