Answer:
The length of the semicircle arc is 6π
Step-by-step explanation:
To solve this problem we need to use the circumferenc formula of a circle:
c = circumference
r = radius = 12
π = pi
c = π * d
we replace with the known values
c = π * 12
c = 12π
The length of the circumference is 12π
N
ow we divide the circumference by 2 and we will obtain the length of the arc of the semicircle
12π / 2 = 6π
The length of the semicircle arc is 6π
Answer:
![\boxed {\boxed {\sf A. \ 4x+1}}](https://tex.z-dn.net/?f=%5Cboxed%20%7B%5Cboxed%20%7B%5Csf%20A.%20%5C%204x%2B1%7D%7D)
Step-by-step explanation:
We are asked to find (f+g)(x). The question is essentially asking us to find the sum of f(x) and g(x).
![(f+g)(x)=f(x)+g(x)](https://tex.z-dn.net/?f=%28f%2Bg%29%28x%29%3Df%28x%29%2Bg%28x%29)
We know that f(x) equals 3x-1 and g(x) equals x+2. Substitute the values of the functions in.
![(f+g)(x)=(3x-1)+(x+2)](https://tex.z-dn.net/?f=%28f%2Bg%29%28x%29%3D%283x-1%29%2B%28x%2B2%29)
Combine the like terms.
- 3x and x are like terms (both have the variable "x"
- -1 and 2 are like terms (both without variables, also known as constants)
![(f+g)(x)=(3x+x)+(-1+2)](https://tex.z-dn.net/?f=%28f%2Bg%29%28x%29%3D%283x%2Bx%29%2B%28-1%2B2%29)
![(f+g)(x)=(4x)+(1)=4x+1](https://tex.z-dn.net/?f=%28f%2Bg%29%28x%29%3D%284x%29%2B%281%29%3D4x%2B1)
(f+g)(x) is equal to <u>4x+1</u> and the correct answer is A.
Replace x^2+y^2 with r^2. Also replace y with r*sin theta.
Then we have r^2 = r*sin theta.
this can be reduced to r = sin theta.
The greatest common factor (GCF) of 24, 44, and 52 is: 4
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 44: 1, 2, 4, 11, 22
Factors of 52: 1, 2, 4, 13
The common factors between them are 1, 2, and 4, but 4 is the greatest, making it the GCF.