Answer:
k = 4
Step-by-step explanation:
First, find the equations of each function.
f(x) = x/3 - 3
g(x) = x/3 + 1
Then plug these values for g(x) = f(x) + k.
x/3 + 1 = x/3 - 3 + k subtract x/3 on both sides
1 = -3 + k add -3 on both sides
k = 4 we're done!
and this makes sense because g(x) is just a translation of f(x) 4 units up.
Answer:
7.6pie
Step-by-step explanation:
120°/360°=X/11.4×2 pie
1/3×22.8 pie =X
X= 7.6 pie
12,6
10,5
Im not 100% sure if its right but thata the answer i get
Answer:
11) Here given Function,

And, 
For f(x) = g(x)






When we solve this equation,
We found,
x = 12.5227 ≈ 12.53
Thus, the required solution is, x = 12.53
12) Here the height of rocket A in x second,

And, The height gain by the rocket B in x seconds,

If at x seconds both A and B gain the same height,
That is, f(x) = g(x)
⇒ 
⇒
⇒ 
⇒ 
⇒ x = 1.125 ≈ 1.13
Thus, the required solution is x = 1.13 seconds (approx)
Answer: The area is 13
ft^2 or 40.84 ft^2
Step-by-step explanation:
First find the area of the square and subtract it from the area of the circle.
The area of a square is one of the side length squared.
A= 6^2
A = 36
Now find the area of the whole circle.As it indicates that the diameter is 14ft and to find the area of a circle,we need square the radius and multiply it by pi.
Since the diameter is 14 divide it by 2 to find the radius. 14/2 = 7
A= 7^2*
A = 49
We will leave the area in terms of pi.
49
- 36 = 13