Answer:
6 inches.
Step-by-step explanation:
We have been given that area of a circle is 113.04 cubic inches and we are asked to find the radius of the circle.
We will use area of circle formula to find the radius of our circle.
Upon substituting the area of given circle we will get,
Substituting we will get,
Upon taking square root of both sides of our equation we will get,
Since the radius of the circle can not be negative, therefore, the radius of circle will be 6 inches.
Answer:
A horizontal translation of 5 units to the left.
Step-by-step explanation:
Given the parent linear function:
To shift vertically n units, we can simply add n to our function. Hence:
So, a vertical shift of 5 units up implies that n=5. So:
As given.
However, to shift a linear function horizontally, we substitute our x for (x-n), where n is the horizontal shift. So:
Where n is the horizontal shift.
For example, if we shift our parent linear function 1 unit to the right, this means that n=1. Therefore, our new function will be:
Or:
We notice that this is also a vertical shift of 1 unit downwards.
Therefore, we want a number n such that -n=5.
So, n=-5.
Therefore, it we shift our function 5 units to the left, then n=-5.
Then, our function will be:
Hence, we can achieve f(x)=x+5 from f(x)=x using a horizontal translation by translating our function 5 units to the left.