Answer:
=》Area = 180 sq.yd
Step-by-step explanation:
perimeter = 2l + 2b
where, we have l = 15
- so (2×15) + 2b = 54
- 30 + 2b = 54
- 2b = 24
- b = 12
now, Area = l × b = 12 × 15 = 180 sq.yd
Answer:
The area of the building in terms of y in its simplest form is 12(y + 2)
Step-by-step explanation:
Since the area of a rectangle is A = LW where L = length and W = width. From our question, the width of the rectangular building is 3 feet. So, W = 3 feet and its length is 4y + 8 feet. So, L = 4y + 8 feet.
So, the area of the building in terms of y is A = LW
= (4y + 8) × 3
Factorizing out 4 from the expression, we have
= 4(y + 2) × 3
= 12(y + 2)
So, the area of the building in terms of y in its simplest form is 12(y + 2)
Answer:
21. B. Graph Z
23. A. neither function nor relation
24. D. relation only
Step-by-step explanation:
21. Graph Z is the only graph which does not pass the vertical line test
23. The graph does not pass the vertical line test, AND it is not merely given x and y points like a relation. It is graphed as a squiggly line with no given x and y points, therefore you could not make a relation from it either.
24. There is an x value of -4 twice, meaning the set does not pass the vertical line test, HOWEVER, it is a given collection of x and y values, making it a relation.
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Answer:
- plane: 530 mi/h
- wind: 40 mi/h
Step-by-step explanation:
Let p and w represent the speeds of the plane and the wind. The relation between time, speed, and distance is ...
speed = distance/time
p +w = (2565 mi)/(4.5 h) = 570 mi/h
p -w = (2205 mi)/(4.5 h) = 490 mi/h
Adding these speeds, we get ...
(p +w) +(p -w) = (570) +(490) mi/h
2p = 1060 mi/h
p = 530 mi/h
Then the speed of the wind is ...
w = 570 mi/h -p = (570 -530) mi/h = 40 mi/h
The plane's speed is 530 mi/h; the wind speed is 40 mi/h.
Answer:
n = -12/23
Step-by-step explanation:
