Answer:
(x) = 
Step-by-step explanation:
let d(x) = y and rearrange making x the subject, that is
2x - 4 = y ( add 4 to both sides )
2x = y + 4 ( divide both sides by 2 )
x = 
Change y back into terms of x, so
(x ) = 
In this question , it is given that we have a cylinder with with a radius of 9 and a surface area of approximately 791.68 units square.
The formula of surface area of cylinder is

Substituting the values of A and r, we will get

So the height of the cylinder is 5 units .
Answer:
C
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is

Here [ a, b ] = [ - 10, 10 ], thus
f(b) = f(10) = 10² + 9(10) + 18 = 100 + 90 + 18 = 208
f(a) = f(- 10) = (- 10)² + 9(- 10) + 18 = 100 - 90 + 18 = 28, thus
average rate of change =
=
= 9
Answer:
see explanation
Step-by-step explanation:
a shift of 3 squares right means add 3 to the x- coordinate
a shift of 1 square down means subtract 1 from the y- coordinate
translation rule is (x, y ) → (x + 3, y - 1 ) , then
(1, 1 ) → (1 + 3, 1 - 1 ) → (4, 0 )
(1, 4 ) → (1 + 3, 4 - 1 ) → (4, 3 )
(3, 1 ) → (3 + 3, 1 - 1 ) → (6, 0 )
Answer:
60
Step-by-step explanation:
b = the hypotenuse of a right angle triangle
a = the adjacent side.
R is being defined by the cosine
cos(R) = adjacent / hypotenuse
adjacent = 16* sqrt(2)
hypotenuse = 32*sqrt(2)
Cos(R) = 16*sqrt(2) / 32*sqrt(2) sqrt(2) cancels.
cos(R) = 1/2
R = cos-1(1/2)
R = 60 degrees.