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)
Answer:
6895ft
Step-by-step explanation:
Given data
The coordinates
City Hall is located at (11.4, 1.2) x1,y1= 11.4, 1.2
Museum of Art is located at (1.5, 10.8) x2,y2= 1.5, 10.8
Required:
the distance between the two points
Applying the Pythagorean theorem as
we can find the distance by substituting the given point coordinates

in feet, we are told that a unit is 500 ft
then 13.79 will be 500*13.79
=6895.107ft
=6895ft
Answer:
C) Area of Triangle is 102 Square Units
The 2nd one or either the last one, I suggest the last one hope this helps!!