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
Amount of decreased water = 3/10
Then, it would be 3/10 * 100 = 30%
So, your answer is 30%
Answer:
It is A.
Step-by-step explanation:
f(x) is exponential and increases at a faster rate as x increases.
g(x) is a linear function and increases at a constant rate of 5.
g(x) increases at a faster rate than f(x) in the interval x = 0 to 1 so D is false.
In order to do this you need a system of equations. One equation is going to be about the numbers of people, the other is going to be about the money: what it costs for each type of person and the total amount of money earned. Money and numbers of people are 2 different things so they have to be in 2 different equations. We know that there were children and adults that went to the park and that the total NUMBER of people is 220. That means that adults plus children equal 220 people total. Or, in equation form, a + c = 220. Now the money part. Each child costs 2.25, so the cost of a child is 2.25c; each adult costs 6.20, so the cost of an adult is 6.20a. The total amount of money earned was 890. That equation is 2.25c + 6.20a = 890. Solve the first equation for a: a = 220 - c. Now sub in that value for a in the money equation, like this: 2.25c + 6.20(220-c) = 890. Solve this for c. 2.25c+1364-6.2c = 890. Combine like terms to get -3.95c = -474. Divide both sides by 3.95 to get that c = 120. There were 120 children out of the 220 people that attended. That means that there were 220-120 adults, or 100 adults. There you go!
Answer:
Step-by-step explanation:
The factoring of 64 is ...
64 = 2·2·2·2·2·2
= (2·2)·(2·2)·(2·2) = 4·4·4 = 4³
= (2·2·2)·(2·2·2) = 8·8 = 8²
= 2·2·2·2·2·2 = 2⁶
