The translation that maps triangle ABC to A prime B prime C prime would be a reflection across the y axis. This is because when you reflect something, you are pretty much flipping it. When you reflect across the y axis, you are flipping the triangle across the y axis. Take one point for example. I will use C. Notice how the point C is 3 units away from the y axis. So the same way you would move the point 3 units right from the y axis, and that would be your new point. This sounds kind of complicated, so I will give you a list of rules to make it more simple.
Reflection across y axis: (x,y) would be equal to (-x, y)
Reflection across x axis: (x,y) would be equal to (x, -y)
Reflection across y = x: (x,y) would be equal to (y,x)
Reflection across y = x: (x,y) would be equal to (-y,-x).
A reflection across y = x would be when you have a line that for every 1 it rises, it goes right 1. It is a positive line, as opposed to the y = -x line. It also has a slope of 1. I will try attaching a graph if I can.
Anyway, as I was saying. So pretty much if you don't want to go through the logic, to see whether a figure is reflected, just try each of these rules and if one works then you have your answer. Otherwise it would not be a reflection.
Thanks for being a great mod and hope this helps! :D
Answer: 20 mph
Step-by-step explanation:
Given
The airplane is at a height of 528 ft with a rate of 20 mph
The automobile is also directing east at the rate of 40 mph
at this instant, they are separating by the relative velocity between them
Answer:
It is not direct variation.
Step-by-step explanation:
In a direct variation, each y value divided by its corresponding x-value gives the same quotient, which is the constant of variation. Let's try two y-values and their corresponding x-values.
11/7 = 1.571428...
13/8 = 1.625
Since the two quotients above are different, there is no constant of variation, and the relation is not direct variation.
Answer:
x=28/6
Step-by-step explanation:
0.6x=2.8
0.6x*10=2.8*10
6x=28
6x/6=28/6
x=28/6