Given:
O, P, and Q be distinct collinear points with PQ=3.
P′ and Q′ be the images of points P and Q under dilation from point O with scale factor 4.
To find:
The length of the image segment P'Q'.
Solution:
We know that,
![\text{Scale factor}=\dfrac{\text{Side length of image}}{\text{Corresponding side of original figure}}](https://tex.z-dn.net/?f=%5Ctext%7BScale%20factor%7D%3D%5Cdfrac%7B%5Ctext%7BSide%20length%20of%20image%7D%7D%7B%5Ctext%7BCorresponding%20side%20of%20original%20figure%7D%7D)
P′ and Q′ be the images of points P and Q under dilation from point O with scale factor 4. So, Segment P'Q' is the image of segment PQ and the scale factor is 4.
![4=\dfrac{P'Q'}{PQ}](https://tex.z-dn.net/?f=4%3D%5Cdfrac%7BP%27Q%27%7D%7BPQ%7D)
It is given that PQ=3.
![4=\dfrac{P'Q'}{3}](https://tex.z-dn.net/?f=4%3D%5Cdfrac%7BP%27Q%27%7D%7B3%7D)
Multiply both sides by 3.
![4\times 3=P'Q'](https://tex.z-dn.net/?f=4%5Ctimes%203%3DP%27Q%27)
![12=P'Q'](https://tex.z-dn.net/?f=12%3DP%27Q%27)
Therefore, the length of the image segment P'Q' is 12 units.
The ashes and smoke after an eruption
Sound can be both longitudinal waves and transverse waves.
Answer:
D.They leave to find work.
Explanation: