please write clear queation
Answer: 5
Work Shown:
f(x) = 2x+1
f(2) = 2*2+1 ... x has been replaced with 2
f(2) = 4+1
f(2) = 5
The input is x = 2. The output is y = 5.
Answer:
The outside edge is 44 ft longer than the inside edge.
Step-by-step explanation:
The outside edge has a 1000 ft radius. Because the curve makes a 180° turn, the length of the curve is half of the perimeter of a circle.
Perimeter of a circle:
![P=\pi \times 2R](https://tex.z-dn.net/?f=P%3D%5Cpi%20%5Ctimes%202R)
Outside length of the curve is given by:
![O=\frac{P}{2} =\frac{\pi \times 2R}{2} = \pi \times R](https://tex.z-dn.net/?f=O%3D%5Cfrac%7BP%7D%7B2%7D%20%3D%5Cfrac%7B%5Cpi%20%5Ctimes%202R%7D%7B2%7D%20%3D%20%5Cpi%20%5Ctimes%20R)
R=1000 ft
Then,
![O= \pi \times R= \pi \times 1000 ft= 3141.6 ft](https://tex.z-dn.net/?f=O%3D%20%5Cpi%20%5Ctimes%20R%3D%20%5Cpi%20%5Ctimes%201000%20ft%3D%203141.6%20ft%20)
Inside length of the curve is given by:
r=R-14 ft
![O= \pi \times r=\pi \times( R-14 ft )= \pi \times (1000 ft - 14 ft)= \pi \times 986 ft= 3097.6 ft](https://tex.z-dn.net/?f=O%3D%20%5Cpi%20%5Ctimes%20r%3D%5Cpi%20%5Ctimes%28%20R-14%20ft%20%29%3D%20%5Cpi%20%5Ctimes%20%281000%20ft%20-%2014%20ft%29%3D%20%5Cpi%20%5Ctimes%20986%20ft%3D%203097.6%20ft%20)
The difference between the two lengths is:
![\Delta L=O-I=3141.6 ft-3097.6 ft= 44 ft](https://tex.z-dn.net/?f=%5CDelta%20L%3DO-I%3D3141.6%20ft-3097.6%20ft%3D%2044%20ft)
The outside edge is 44 ft longer than the inside edge.
EVERY fraction has a denominator. It's the number on the bottom.