Answer:
P'(-9, 3)
Step-by-step explanation:
The transformation for rotation counterclockwise about the origin by some angle α will be ...
(x, y) ⇒ (x·cos(α) -y·sin(α), x·sin(α) +y·cos(α))
When the angle is α = 90°, this reduces to ...
(x, y) ⇒ (-y, x)
You have (x, y) = (3, 9), so the image point is P'(-9, 3).
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<em>Additional comment</em>
The "work" is applying the right sign and choosing the right coordinate to fill in the values (-y, x). I find it easier to look up the transformations for ±90° and 180°, rather than try to derive them from first principles every time. Your text may have a list:
- 90° CCW or 270° CW: (x, y) ⇒ (-y, x)
- 90° CW or 270° CCW: (x, y) ⇒ (y, -x)
- 180°: (x, y) ⇒ (-x, -y)
The true statement about the inequality is that Total sales per day is greater than $250
<h3>How to write and solve inequality equation?</h3>
- Amount earned per day = 25 + 5% of x
= 25 + 0.05x
- Thursday = 4th day of the week
The inequality:
4(25 + 0.05x) > 50
100 + 0.2x > 50
100 - 50 > 0.2x
50 > 0.2x
x > 50/0.2
x > $250
Learn more about inequality:
brainly.com/question/25275758
Answer:
it seems to go up 15dollars per day late
Answer:
Option B is correct = 4.082
Step-by-step explanation:
From the question, we have the following information;
Sample A, 60 people are randomly selected = $200 for textbook in one term.
Sample B:, 40 people are randomly selected = $180 for textbook in one term. Standard deviation of sample A and B =$20.
Difference in the average value= 200-180 = 20.
To calculate the standard error we have;
Standard error= SD/√number of sample.
Standard error= 20/√20 = 20/ 4.472
= 4...
Quinn needs to save another $275.
<h3>How much more money does Quinn need to reach her goal for the year?</h3>
The money that she needs will be equal to the difference between the amount that she wants to save, and the amount that she already has.
- She wants to save $300.
- She already has $25
The difference is:
D = $300 - $25 = $275
This means that, to reach her goal this year, Quinn needs to save another $275.
If you want to learn more about differences:
brainly.com/question/5342576
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