Answer: The rational expression that is needed is z^5/8.
In the problem, we are starting with 4z^5/7 and multiply by something. Then, we have z^10/14.
First, let's deal with the variables. We go from z^5 to z^10, so we had to multiply by z^5.
Second, our fraction went from 4/7 to 1/14, the missing factor would be 1/8 because 4/7 times 1/8 equals 1/14.
The closest distance between point A and point A' is 8.5 ⇒ B
Step-by-step explanation:
Let us revise the translation of a point
- If the point (x , y) translated horizontally to the right by h units then its image is (x + h , y)
- If the point (x , y) translated horizontally to the left by h units then its image is (x - h , y)
- If the point (x , y) translated vertically up by k units then its image is (x , y + k)
- If the point (x , y) translated vertically down by k units then its image is (x , y - k)
∵ Point A is located at (-5 , 2)
∵ Point A is translated 8 units to the right and 3 units up
- That means add x-coordinate by 8 and add y-coordinate by 3
∴ Point A' located at (-5 + 8 , 2 + 3)
∴ Point A' located at (3 , 5)
The distance between two points
and 
is 
∵ Point a = (-5 , 2) and point A' = (3 , 5)
∴
= -5 and
= 3
∴
= 2 and
= 5
- Substitute these values in the rule of the distance
∵ 
∴ 
∴ 
∴ 
∴ d = 8.544 ≅ 8.5
The closest distance between point A and point A' is 8.5
Learn more:
You can learn more about the distance between two points in brainly.com/question/6564657
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Basically a number that can be written as a fraction
Answer:
14
Step-by-step explanation:
First, find the percentage of the other types of music.
Since 30 + 50 = 80, the other 20% will be other music.
To find 20% of 70, multiply 70 by 0.2:
70(0.2)
= 14
So, there are 14 CDs that are other types of music.