Simplify 18/3 divided by -2/6. Select one: a. −8 b. −4 c. 4 d. 8
2 answers:
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Question:
A fly is standing on a boulder which is rolling down a hill. The forward torque the fly exerts on the boulder when it has rolled 'x' meters, in Newton meters is given by
Answer:
y = 0
Step-by-step explanation:
The general form of the sine function is presented as follows;
y = A·sin[B·(x - C)] + D
Where;
A = The amplitude
C = The horizontal shift
D = The vertical shift above the generic midline of y = 0 = Constant
By comparison with the general equation for torque, we have that the constant D = 0, therefore, the vertical shift = 0, and the midline of the the given function = The midline of the generic sine function which is y = 0.
Answer:
5)
6)
Step-by-step explanation:
k in this equation represents the slope of the line. To find the slope of a line, pick 2 points that land perfectly on the grid and find the vertical and horizontal distance between them. The vertical distance is the 'rise', and the horizontal distance is the 'run'. Given those two numbers, you can calculate the slope:
A more precise definition is:
5)
You can use whichever 2 points you want here. I'll use the 2 outermost points:
(x1, y1) = (2, 7)
(x2, y2) = (8, 28)
Now, to find the distance between them, subtract the position of the first point from the second point. Vertical distance first, subtract the y-coordinates:
The rise is 21.
Horizontal distance, subtract the x-coordinates:
Slope is 'rise over run' as I wrote above, so you can now write the slope and the equation of the line:
6)
I'll pick the 2 outermost points again:
(x1, y1) = (8, 2)
(x2, y2) = (24, 6)
This time, I'll just plug all 4 values directly into the 2nd formula I wrote at the top.