Answer:
On a coordinate plane, the x-axis is labeled Perimeter of a square, and the y-axis is labeled Side length of a square. A line goes through points (4, 1), (8, 2).
Step-by-step explanation:
Let
x ----> the perimeter of the square
y ---> the side length of the square
Remember that
The perimeter of the square is given by the expression

where
b is the length side of the square
solve for b

That means
A ordered pair in the coordinate plane following the rule
(x,y) -----> (x,x/4)
The y-coordinate is equal to the x-coordinate divided by 4
y=x/4
therefore
On a coordinate plane, the x-axis is labeled Perimeter of a square, and the y-axis is labeled Side length of a square. A line goes through points (4, 1), (8, 2).
Because
For the point (4,1)
substitute in the linear equation the value of x
y=4/4=1 ----> is ok
For the point (8,2)
substitute in the linear equation the value of x
y=8/4=2 ----> is ok
A ) The domain:

x ≤ -4 and x≥ 4 or: x ∈ ( - ∞ , - 4 ) ∪ ( 4 , + ∞ )
b ) f ` ( x ) =

c ) The slope of the line normal to the graph at x = 5
m = -1 / f `(x)
f ` ( x ) =
m = - 3/34
Answer:

Step-by-step explanation:
Given
Represent the volume of the cylinder with V1 and the volume of the sphere with V2
So, from the first statement: we have:

and

To solve for
, we simply substitute
for
in 




Hence, the volume of the sphere is 
Answer:
x=19
Step-by-step explanation:
To find this we need to find the simplest form of y and x
Chart:
----------------------------------------------------------------------------------------------------------------Y | 45 |
X | 15 |
----------------------------------------------------------------------------------------------------------------
To find the simplest form divide both sides with their gcf which is right now 15 so divide by 15: For y 15 divided by 45 is 3, for x 15 divided by 15 is one so the graph looks like this:
----------------------------------------------------------------------------------------------------------------Y | 45 | 3 |
X | 15 | 1 |
----------------------------------------------------------------------------------------------------------------
So now we know this fact we can just divide 57 by 3
(We need to divide it to see how many times does it take for 3 to get to 57 and we can use that number to multiply it with 1 and only one since when y is 3 x is 1.)
57 divided by 3 is 19
So we multiply 19 with 1 which is 19
So x is 19
Graph:
----------------------------------------------------------------------------------------------------------------Y | 45 | 3 | 57 |
X | 15 | 1 | 19 |
----------------------------------------------------------------------------------------------------------------
Hope this helps!