**plug in the first equation into the y of the next.
3x + 1 = 5x - 3
-1 from both sides
3x = 5x -4
-5x from both sides
-2x = -4
divide both sides by negative 2
x= 2
Answer:
The volume of the cylinder is 3 times the volume of the cone
Step-by-step explanation:
The formula for the volume of the cylinder is given by :
.....(1)
Where
r and h are the radius and the height of the cylinder
The formula for the volume of the cone is given by :
...(2)
From equation (1) and (2),

So, the volume of the cylinder is 3 times the volume of the cone.
Answer:
Step-by-step explanation:

The horizontal distance from the firefighter at which the maximum height of water occurs is 10.83m
<u>Explanation:</u>
Given:
h(x) = -0.026x² + 0.563x + 3
where,
h(x) is the height of the water
Initial speed, u = 14m/s
angle, θ = 30°
(a)
Horizontal distance = ?
h(x) = ax² + bx + c
the vertex is found at x = -b/2a
where,
x = distance to the maximum height
As compared to the equation given:
a = -0.026
b = 0.563
Thus,

Therefore, horizontal distance from the firefighter at which the maximum height of water occurs is 10.83m
The gcf would be 12 because both 12 and 36 can be divided by 12 and it is the highest number