Answer: coordinates x = 1, y = 1.
Explanation:
You can deduce the answer analytically by using these mathematical rules:
1. First transformation. Reflection over the y-axis means that the image will keep the same y-coordinate and negate the x-coordinate (the image will end in the left quadrant at the same height):
A(1,1) → A'(-1,1)
B(2,2) → B'(-2,2)
C(4,2) → C'(-4,2)
D(5,1) → D'(-5,1)
2. Second transformation. The reflection over the x-axis tansforms the image by keeping the same x-coordinate and negating the y-coordinate, the image will end in the fhird quadrant right below the previous image:
A'(-1,1) → A''(-1,-1)
B'(-2,2) → B''(-2,-2)
C'(-4,2) → C''(-4,-2)
D'(-5,1) → D''(-5,-1)
3. Third transformation. The rotation 180° (either counterclockwise or clockwise) negates both coordinates x and y:
A''(-1,-1) → A'''(1,1) ← this is the answer
B''(-2,-2) → B'''(2,2)
C''(-4,-2) → C'''(4,2)
D''(-5,-1) → D'''(5,1)
As you see the final images of every point correspond to same original point.
All the sampling methods used in the given survey are; convenience, systematic, and voluntary sampling.
<h3>What is the sampling method used?</h3>
From the question, we see that the surveyor selects the twentieth student who enters the building.
Now, the student do not enter the building to be surveyed but instead for other reasons and as such the researcher takes advantage of that and selects them. This is a form of convenience sampling.
It is also a form of systematic sampling because the researcher selects every twentieth student and not any other.
Lastly, it is a form of Voluntary sampling because the students selected to participate in the survey are free to choose whether to participate in the survey or not.
Read more about Sampling Methods at; brainly.com/question/9910540
#SPJ1
Answer: D Would be correct
Explanation: (3 + 5i) – (2 + i) And also, C for the other one.
A triangle has vertices at b(−3, 0), c(2, −1), d(−1, 2). which series of transformations would produce an image with vertices b″(4, 1), c″(−1, 0), d″(2, 3)? (x, y) → (x, −y), (x, y) → (x + 1, y + 1) (x, y) → (−x, y), (x, y) → (x + 1, y + 1) (x, y) → (x, −y), (x, y) → (x + 2, y + 2) (x, y) → (−x, y), (x, y) → (x + 2, y + 2)
The answer is B