Answer: Number 4: 0.07, 60%, 13/20, 2/3, 0.70, and then 3/2
Step-by-step explanation:
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
The answer to this question would be: <span>rotating it 90° counterclockwise.
When you rotate up an object 360</span>°, it will revert into its original places. That mean, if you rotate it more than 180°, then rotating it to the opposite direction will be easier/closer than you do. In this case, you rotate the polygon 270° so it will equal to 360° - 270°= 90° of opposite direction, which means counterclockwise. The quadrant shouldn't have any meaning in this question.
Answer:
diameter = 3,600 units
Step-by-step explanation:
Let
= 3.14
C = 2
r
11,304 = 2(3.14)r
r = 1,800
d = 2r = 2(1,800) = 3,600
Answer:
The slope of the a straight line is given by the ratio of the Rise to the Run
of the line. The rise between the given points is zero.
The slope of the line that passes through the points (4, 10) and (1, 10) is zero.
Step-by-step explanation:
The given points are; (4, 10) and (1, 10)
The slope of a line, m, is given by the following formula;
Where;
(x₁, y₁) = (4, 10) and (x₂. y₂) = (1, 10), we get;
The slope of the line that passes through the points (4, 10) and (1, 10) is 0.