Answer: 10540 meters
Step-by-step explanation:
d(t) = 340t
to find how far it travels in 31 seconds, plug 31 into t
d(31) = 340 * 31
d(31) = 10540 meters
If A varies directly with z, and A is 30 and z is 5, then when z is 1, A is 6.
z: 5 ÷ 5 = 1
A: 30 ÷ 5 = 6
Then, when z is 1, A is 6
So, when z is 9, A is...
z: 1 × 9 = 9
A: 6 × 9 = 54
A is 54
Answer: 32.8kgm^2/s
Step-by-step explanation:
1. Angular momentum is a product of linear momentum and the distance of the object from a rotation axis.
2. Linear momentum (L) is given as :
L = mv
Where: m= mass = 4kg
v= velocity= 2m/s
=> L = 8kgm/s
Angular momentum (A) = L x centre distance (d) of object from a rotation axis
d = √(0.9-0)^2 + (10-6)^2 = 4.1m
=> A = 8 x 4.1 = 32.8kgm^2/s.
Answer:
18x - 9
Step-by-step explanation:
Factor the common factor of 9 first which gives 
is the difference of two squares and factors into (2x + 1)(2x - 1)
The complete factorization of 
is 9(2x + 1)(2x - 1).
So 9(2x - 1) = 18x - 9 is a factor of the original expression.
