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Olegator [25]
3 years ago
8

The perimeter of a rectangle is 4040 yards. what are the dimensions of the rectangle with maximum area?

Mathematics
1 answer:
Ivanshal [37]3 years ago
8 0
Let x be the length and y be the width2x + 2y = 40x + y = 20change that into y = mx + b formy= 20 – x
Area =xy = x (20-x) = 20x - x^2Area=-x^2+20xcomplete the square:Area=-(x^2 – 20x + 100) +100=-(x - 10)^2 + 100This is an calculation of a parabola that opens downward with vertex at (10,100), which means maximum area of 100 happens when x, the length=10)Dimensions of the rectangle with maximum area? 10 yds. by 10 yds., a square.
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Which of the following quantities are directly proportional:
Zepler [3.9K]

Answer:

Area ∝ Length.

Step-by-step explanation:

If the length of a rectangle is L and width is W, then the area of the rectangle is given by A = LW.

Now, it is given that the width of a rectangle is constant and it is 6 cm.

Therefore, the relation between the length of the rectangle in cm with the area of the rectangle in cm² will be A = 6L.

So, it is clear from the above relation that Area (A) is proportional with its length (L) and the constant of proportionality is 6. (Answer)

4 0
2 years ago
1. (3x2 + 4x - 12) = (x + 5)<br> Divide using synthetic division
Kitty [74]
If you are solving for x then here’s how:

(3x2 + 4x - 12) = (x + 5)
Remove the x on the left by remove one x from both of the sides.
(3x2 + 3x - 12) = 5
Add 12 onto both sides
(3x2 + 3x) = 17
Multiply
(6 + 3x) = 17
Take away 6 from both sides
3x = 11
Divide by 3 on both sides
x = 3.666 recurring
4 0
3 years ago
What is 5x + 3y = 12 written in slope intercept form
Luba_88 [7]

Answer:

y=4-5/3x

Step-by-step explanation:

Rearrange and simplify.

6 0
3 years ago
Read 2 more answers
If yall help me with all the answers ill give you 32 points. Ik this is easy but I'm too lazy to do this. someone help me, pleas
Anna007 [38]

Answer:

100-both

75-5

565- 5

2815- 5

10050- both

57- 3

1365- 3

14- 2

81- 3

3850- 2

333- 9

1125- 9

448- 8

630- 9

5496- 8

114- 6

21,750- 6

3580- 4

2528- 4

944- 4

Step-by-step explanation:

8 0
3 years ago
Please answer at least one of them.
dsp73
Hey there find an image attached..

8 0
3 years ago
Read 2 more answers
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