Answer:
(-18, 2)
Step-by-step explanation:
To rotate a point by 90°:
R₉₀ (x, y) = (-y, x)
R₉₀ (1, 9) = (-9, 1)
To dilate by 2:
D₂ (x, y) = (2x, 2y)
D₂ (-9, 1) = (-18, 2)
If you would like to solve the following proportion 15 / 21 = 5 / x, you can do this as follows:
15 / 21 = 5 / x /*x
15 / 21 * x = 5 /*21
15 * x = 5 * 21 /15
x = 5 * 21 / 15
x = 7
The correct result would be C. 7.
Multiply 3 and n, and 3 and 4.
3n+12
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hope it helps
To answer this item, we let x and y be the rate of the boat in still water and current, respectively. The distance traveled by the object is equal to the product of the speed and the time.
Upstream:
D = (x + y)(6)
24 = 6x + 6y
4 = x + y
Downstream:
D = (x - y)(6)
18 = 6x - 6y
3 = x - y
The values of x and y are 3.5km/h and 0.5 km/h, respectively.
Answers:
Rate in Still water = 3.5 km/h
Rate of the current = 0.5 km/h