Answer:
54.514 rev/min
Step-by-step explanation:
Data provided in the question:
Speed of the cable car = 12.65 miles per hour
Diameter of the rotating wheel, d = 6.5 feet
Now,
The speed of rotation of the wheel will be equal to the speed of the cable car
thus,
The speed of rotation of the wheel = 12.65 miles per hour
also,
1 miles = 5280 feets
1 hour = 60 minutes
Thus,
The speed of rotation of the wheel = 
= 1113.2 ft/ min
Circumference of the wheel = πd
= 6.5π feet
= 20.42 feet
Therefore,
The speed of rotation of the wheel in revolutions per minute
= 1113.2 ÷ 20.42 rev/min
= 54.514 rev/min
Answer:
Statement 1
The graph has a minimum.
This statement is true. The graph has a minimum at x = -1 that is f(-1) = -9.
Statement 2
The graph has a maximum.
The statement is false. As there is no downward curve nor a rigid endpoint but the graph is continuous in upward direction.
Statement 3
The graph has zeros of -4 and 2.
The statement is true because f(-4) = 0 and f(2) = 0.
Statement 4
The vertex is located at (-1, -9).
The statement is true as apparent in the graph.
Statement 5
The solution of the quadratic function represented by the graph is (-1, -9).
The statement is false. Solution of the graph is at the point where f(x) becomes zero. At (-1,-9), f(x) = -9. Hence solution is not at point (-1,-9).
Statement 6
The y-intercept of the graph is (0, -8).
The statement is true. y-intercept of a graph is where the graph intercept the y-axis which means x = 0. As x = 0 at (0, -8), it is the y-intercept of the graph.
Reflection I’m almost positive...................
Answer: 108.83 yd
Step-by-step explanation:
Not sure if correct but I tried
Answer:
(5,9)
(-19, - 15)
(5, - 15)
(-19, 9)
Step-by-step explanation:
Given that :
Coordinate of point A = - 7, - 3
Number of points between point A and B = 12
Possible coordinate of point B
Possible coordinates of point B:
(-7, - 3) + 12 = (5, 9)
(-7, - 3) - 12 = (-19, - 15)
(-7, - 3) = (-7 +12, -3 - 12) = (5, - 15)
(-7, - 3) = (-7 - 12, - 3 + 12) = (-19, 9)
Hence possible coordinates of be are :
(5,9)
(-19, - 15)
(5, - 15)
(-19, 9)
