Answer:
The length of the arc is 1.0467
Step-by-step explanation:
First of all to solve this problem we need to use the circumferenc formula of a circle:
c = circumference
r = radius = 3
π = 3.14
c = 2π * r
we replace with the known values
c = 2 * 3.14 * 3
c = 18.84
The length of the circumference is 18.84
Now we have to divide the 20° by the 360° that a circle has, to know what part of the circle it represents
20° / 360° = 1/18
Now we multiply this fraction by the circumference and obtain the length of the arc
1/18 * 18.84 = 1.0467
The length of the arc is 1.0467
Answer:
x>2
Step-by-step explanation:
Answer:
Step-by-step explanation:
1 in=2 ft
Bedroom 1
scale
17.5 in ×12.5in
actual
(17.5×2)×(12.5×2)
or
35 ft×25 ft
Living Room
scale
17.5 in×17.5 in
actual
35 ft×35 ft
Bathroom 1
scale
12.5 in×12.5 in
actual
25 ft×25 ft
Kitchen
scale
17.5 in ×12.5 in
actual
35 ft×35 ft
Bedroom2
scale
12.5 in ×12.5 in
actual
25 ft×25 ft
Entryway
scale
12.5 in×12.5 in
actual
25 ft×25 ft
Bathroom 2
scale
12.5 in×5 in
actual
25 ft×10 ft
9514 1404 393
Answer:
- f(x) = x
- g(x) = -2x+1
- f(x) -(-g(x)) = -x+1
- f(x) +g(x) = -x+1
- f(x)-(-g(x)) = (f+g)(x) is true for all functions f and g, linear or not
Step-by-step explanation:
We can define a couple of linear functions as ...
f(x) = x
g(x) = -2x+1
Then the reflected function -g(x) is ...
-g(x) = -(-2x +1) = 2x -1
And the difference from f(x) is ...
f(x) -(-g(x)) = x -(2x -1) = -x +1 . . . . f(x) -(-g(x))
We want to compare that to the sum of the functions:
f(x) +g(x) = x +(-2x +1) = -x +1 . . . . f(x) +g(x)
The two versions of the function expression have the same value.
These results are <em>a property of addition</em>, so do not depend on the nature of f(x) or g(x). They will hold for every function.
