Answer: 6400<em>x²</em> · (<em>x - 1)²</em>
The rule says: To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x-1) and the exponents are:
1, as (x-1) is the same number as (x-1)1
And 1, as (x-1) is the same number as (x-1)1
The product is therefore, (x-1) (1 + 1) = (x-1)²
Answer:
z=20 and y=38
Step-by-step explanation:
Answer:
550 N
Step-by-step explanation:
We can solve the problem by using Newton's second law:
F is the force required to accelerate the car
m is the mass of the car
a is the acceleration of the car
In this problem, the mass is m=1100 kg, while the acceleration is a=0.5 m/s^2, therefore the force required to accelerate the car is

Hope this helps!
Answer:
Rate in still water = 45 km/h
Rate of the current = 10 km/h.
Step-by-step explanation:
Let the rate of the current be x and rate in still water be y.
So the rate of the boat upstream is y - x and the rate downstream = x + y.
Rate upstream = distance / time
y - x = 105/3 = 35 ...... (1)
Rate downstream:
y + x = 165/3 = 55 .......(2)
Adding (1) + (2):
2y = 90
y = 45 km/h.
Using equation (1):
45 - x = 35
x = 45-35 = 10 km/h.
Answer:
Process of elimination
Step-by-step explanation:
If Olive wants to choose a friend while not playing favorites, while also not being random, she has to eliminate the ones she knows she will NOT take on the trip. She can choose this by selecting the one she knows that will be best on the trip with her, depending on the situation.
Or, if Olive only has one friend, then it wouldn't be surprising that she would take that one friend on the trip, since she has no one else to choose. This way, it is not playing favorites, nor is it random. Hope this helps you!