Answer:
75 minutes
Step-by-step explanation:
The rate at which the tank is filled up, F, and emptied, E, are respectively:
Since V is the full volume of the tank, the time required to fill the tank if both pipes are open is given by:
It will take 75 minutes to fill the tank if both pipes are open.
So we need to solve:
3ˣ⁻¹ = 9ˣ⁺²
To do this, we need to have the same base for both sides of the equation.
So let's go with the base of 3.
3² = 9
3ˣ⁻¹ = (3²)ˣ⁺²
3ˣ⁻¹ = 3²ˣ⁺⁴
Since the bases are the same now, we need to get rid of them and we would get:
x - 1 = 2x + 4
Subtract both sides by 2x:
-x - 1 = 4
Add 1 to both sides:
-x = 5
Divide both sides by -1:
x = -5
After dividing the polynomials, the answer is 2x-8
Answer:
The height is 7 cm
Step-by-step explanation:
210 × 2 = 420
12 × 5 = 60
420 ÷ 60 = 7
Answer:
Step-by-step explanation:
There is nothing in this diagram to suggest any particular values for x and y.
__
If we assume the figure is intended to be a kite, symmetrical about its horizontal diagonal, then each segment is congruent to the one above it.
x = 12
y = 20
