Answer:
the answer is 37.68
Step-by-step explanation:
C=2 x pi x r
C = 2 x 3.14 x 6 the radius is 6 because you divide the diameter by 2 to get the radius which is 6 in thsi case.
2x3.14x6=37.68
The trick is to get the X all alone on one side. Start by subtracting 2 from both sides. This wqould give you -1/2X+2-2=-x+7-2 or simplified to -1/2x=-x+5. Next, add x to both sides to give you -1/2x+x=-x+5+x. This simplifies to +1/2x=5. Multiplying by 2 on both sides will get rid of the fraction. Therefore 2*1/2x=5*2. This simplifies to your final answer of x=10.
Answer:
The vertex for the function f(x) = 3(x – 2)2 + 4 is at (2, 4).
Step-by-step explanation:
Find the vertex for f(x) = 3 (x - 2)^2 + 4
f(x) = 3 (x - 2)^2 + 4 can also be written as:
y = 3 (x - 2)^2 + 4
To find critical points, first compute f'(x):
d/(dx)(3 (x - 2)^2 + 4) = 6 (x - 2):
f'(x) = 6 (x - 2)
Solve 6 (x - 2) = 0
6x - 12 = 0
6x = 12
x = 2
iI you substitute x = 2 in 3 (x - 2)^2 + 4 then you get:
y = 3 (x - 2)^2 + 4
x = 2
y = 3 (2 - 2)^2 + 4
y = 3 (0)^2 + 4
y = 3 (0) + 4
y = 4
Answer: The vertex for the function f(x) = 3(x – 2)2 + 4 is at ( 2, 4 ).
