Answer:
Step-by-step explanation:
I'm ASSUMING this goes with a photo supplied in another question.
Part E reflection across the x axis leaves the x value identical but negates the y value (x, y) → (x, -y)
Part I translating 6 up and 1 left subtracts one from the x value and adds 6 to the y value (x, y) → (x - 1, y + 6)
Part K Chanel has the correct sequence as following her instructions maps each point on triangle ABC perfectly to triangle DEF
Preston was close but he either needed to rotate about the origin 180° then translate up 6 and left 1, or rotate 180° about the point (-½, -½) and translate up 7.
I think the quickest conversion is to rotate 180° about the point (-½, 3)
The answer is 2/6 or if it is reduced 1/3
Solve for x over the real numbers by completing the square.
(x - 8)² = 48
Take the square root of both sides:
x - 8 = 4 √(3) or x - 8 = -4 √(3)
Add 8 to both sides:
x = 8 + 4 √(3) or x - 8 = -4 √(3)
Add 8 to both sides:
Answer: x = 8 + 4 √(3) or x = 8 - 4 √(3)
Answer:
- 1/4
- 3/5
Step-by-step explanation:
You find the part by expressing the ratio as a fraction, then simplifying.
1. 5/20 = (1·5)/(4·5) = (1/4)·(5/5) = 1/4
5 is 1/4 of 20.
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2. 12/20 = (3·4)/(5·4) = (3/5)·(4/4) = 3/5
12 is 3/5 of 20.