Answer:
x = 2
Step-by-step explanation:
(16 = 
and 8 = 
)
Since the base number is 2, the exponents must equal each other.
So:
12x = 3x+18
9x = 18
x = 2
Answer:
The age of the person who entered the room is 15
Step-by-step explanation:
We are given:
Ages of 5 people in a room are:
17, 16, 15, 17, 22
A person enters room, and then the mean age of 6 people is 17.
We need to find the age of person who entered the room.
The formula to calculate mean is: 
Now, in question we are given mean of 6 people that is 17
The age of 5 people are given while age of one person who enters the room is unknown.
Let age of person whose age is unknown= x
Now finding x using mean formula
So, The value of x: x=15
Hence, the age of the person who entered the room is 15
Regarding dilation, it is found that:
1. The scale factor is of 6.45
2. The scale factor is of 1.4375.
3. the image will be smaller than the pre-image.
<h3>Dilation</h3>
A dilation is one type of transformation that is applied to images, in which the side lengths are multiplied by a constant called scale factor, changing the side lengths of the image.
In item a, the initial length was of 11 and the final length is of 71, hence the multiplier, which is the scale factor, is given as follows:
71/11 = 6.45.
In item b, the initial length was of 16 and the final length was of 23, hence the scale factor is given as follows:
23/16 = 1.4375.
For item 3, the multiplier is a number that is less than 1, meaning that the image is smaller than the pre-image.
More can be learned about dilation at brainly.com/question/3457976
#SPJ1
For y=4 draw a horizontal line through the y-axis at point (0,4). Y-axis is the vertical.
For x=-3 draw a vertical line through the x-axis at point (-3,0). X-axis is the horizontal.
