If this is the dance position you are describing, then the arm and the leg of the dancer both make "right" angles (90º angles) to the floor.
32-x=0; with x equaling the amount descended or -32.
Hmmmm to convert from improper to mixed, simply do the division of both, the quotient gets upfront, the remainder as the numerator, for example,
how many times 3 goes into 81? well, 27 times, with a remainder of 0, thus
how many times does 2 go into 29? well 14 times, with a remainder of 1, thus
Answer:
See below
Step-by-step explanation:
A) In part 1, the bus is increasing in speed. In part 2, the bus keeps a steady pace. In part 3, the bus is slowing down. In part 4, the bus is once again keeping a steady pace. In part 5, the bus is increasing in speed once again.
B) Parts 1 and 5 are increasing, part 3 is decreasing, and parts 2 and 4 are constant.
C) This graph is non-linear. Linear means straight, and this graph is constantly increasing and decreasing. Thus, it is non-linear.
Answer:
Step-by-step explanation:
Remark
The slope intercept line is written as y = mx + b in it's general form.
You can get the slope, m, immediately because it is given as -2
So far what you have is y = -2x + b
y intercept
To get the y intercept, use the point (-3 , 4)
x = - 3
y = 4
4 = -2*(-3) + b
4 = 6 + b Subtract 6 from both sides
4 - 6 = 6-6 + b
b = - 2
Line
y = -2x - 2
(a,8)
y = -2a - 2
8 = -2a - 2 Add 2 to both sides
8 +2 = -2a -2+2 Combine
10 = - 2a Divide by - 2
10/-2 = a
a = -5
(5,b)
y = -2x - 2
x = 5
y = b
b = -2*5 - 2
b = -10 - 2
b = - 12
