a paper clip is shown on the graph. the distance from a to b represents the length of the paper clip. dilate the paper clip by a scale factor of 2 with the center of dilation at the origin. what is the distance from the origin to point b? point b is? cm from the origin.

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Accepted Answer

# Explanation:
## Step1: Locate the coordinates of point B
From the graph, point B has coordinates $(4,0)$.
## Step2: Use the distance formula $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$
The origin has coordinates $(0,0)$. Substitute $x_1 = 0,y_1 = 0,x_2 = 4,y_2 = 0$ into the formula:
$$
\begin{align*}
d&=\sqrt{(4 - 0)^2+(0 - 0)^2}\
&=\sqrt{4^2+0^2}\
&=\sqrt{16}\
& = 4
\end{align*}
$$

# Answer:
$4$

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Question

Explanation:

Step1: Locate the coordinates of point B

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

Answer: