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:
From least to greatest it would be 87, 99, 156, 177
Step-by-step explanation:
The statement "from least to greatest" means starting from the lowest value and transitioning to the greatest value/
Think of it as least -> greatest.
Answer:
a positive even number.
Step-by-step explanation:
I suggest plugging in random positive even numbers and finding a pattern. (-12)^2 = 144. (-12)^ 4= 20,736. this is because two negatives, when multiplied, turn to a positive. the n is how many times negative 12 is multiplied with itself
Answer:
The correct definition of statistics is
B. Statistics is the science of collecting, organizing, summarizing, and analyzing information to draw a conclusion and answer questions. In addition, statistics is about providing a measure of confidence in any conclusions.
Explanation:
Statistics is the science of collecting, organizing, summarizing, and analyzing the information and based on this information a conclusion is drawn about the collected information. There are two main divisions of statistics:
1. Descriptive statistics: It deals with providing the summary about the information collected.
2. Inferential statistics: This division deals with using a sample from the population and drawing the conclusion about the population using the sample. It also includes providing a measure of confidence in any conclusions.
Fv=24000(1+10.44%)^15
Fv=106440.57
