(y - yo) = m.(x - xo)
We have the points (4, 12) and (x, 18) with slope of 3.
(18 - 12) = 3.(x - 4)
6 = 3x - 12
3x = 6 + 12
3x = 18
x = 18/3
x = 6
complete question:
Find the volume of the cylinder.
Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth.
Radius = 4 and height = 8.
Answer:
volume of a cylinder ≈ 402.30 unit cube
Step-by-step explanation:
The question you to find the volume of a cylinder with a height of 8 and radius of 4. The volume of a cylinder can be represented below
volume of a cylinder = πr²h
where
h = height
r = radius
h = 8
r = 4
volume of a cylinder = πr²h
volume of a cylinder = π × 4² × 8
volume of a cylinder = π × 16 × 8
volume of a cylinder = 128 π
volume of a cylinder = 128 × 3.143
volume of a cylinder = 402.304
volume of a cylinder ≈ 402.30 unit cube
* means multiply, sqrt=radical
expand
-10+sqrt2*8i-sqrt2*15+24i
group
(-10-sqrt2*15)+(sqrt2*8+24)i
not exactly sure though
Question 1
Because the period is 2π, and the amplitude is 1obtain
f(x) = sin(x)
Because the horizontal shift is π, obtain
f(x) = sin(x - π)
Because the vertical shift is -4, obtain
f(x) = sin(x - π) - 4
Answer: 1. f(x) = sin(x - π) - 4
Question 2
The radius is 36/2 = 18 in.
1 revolution (360°) is the circumference, which is
2π(18) = 36π in
When the revolution is 62°, the distance traveled is
(62/360)*(36π) = (31/5)π in
Answer: 3. (31π)/5
Question 3.
Consider f(x) = 3cos(2x-π) - 1
f(0) = 3cos(-π) - 1 = -4
f(π/2) = 3cos(0) - 1 = 2
Rate of change = (2+4)/(π/2) = 12/π
From the graph, the rate of change of g(x) is
3/(π/2) = 6/π
Consider h(x) = sin(x) - 4
h(0) = 0 - 4 = -4
h(π/2) = 1 - 4 = -3
Rate of change = (-3+4)/(π/2) = 2/π
Therefore h(x) has the smallest rate of change
Answer: h(x)
