Answer: x^2 +6x +2x +36 = X^2 +8x + 36
Step-by-step explanation:
Answer: Cole and his sister Chloe will take 81 minutes to clean the whole house.
Step-by-step explanation:
Total rooms in the house = 9
Total persons to clean the house = 2 (Cole and his sister Chloe)
Time taken by 1 person to clean one=18 minutes
Time taken by 2 persons to clean one room together=18 divided by 2 = 9 minutes
Time taken by 2 persons to clean 9 rooms (which is the total number of rooms in the house)=9 multiply 9 = 81 minutes
therefore, they will take 81 minutes to clean the whole house.
Answer:
f(g(x)) = g(f(x)) = x
Step-by-step explanation:
Lemma;
If f(x) and g(x) are inverses, then the compositions f(g(x)) = g(f(x)) = x
Answer:
(-1,0)
Step-by-step explanation:
Given that ;
1 minute= 1 revolution
2minutes=2 revolution
30seconds, 0.5 minutes= 1/2 a revolution
Hence;
2 minutes 30 seconds will be two and a half revolutions
2 minutes will complete 2 revolutions to return to point (1,0), then from (1,0), the carousel proceeds to cover the half revolution and complete 2 minutes and 30 seconds
Note the revolutions will be conducted in anticlockwise direction, so the 1/2 revolution will follow the property of rotation in anticlockwise direction about the origin through 180°, starting from point (1,0)
The property states that a points (h,k) rotated about the origin in anticlockwise direction through 180° will be mapped to (-h,-k)
Hence (1,0) will be mapped to (-1,0)
The formula for the surface area of a cylinder is pi×2rh+2pi(r^2)
In this problem, r is 4 in and h is 16 in
