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Vlada [557]
2 years ago
13

Which table shows y as a function of x

Mathematics
1 answer:
ANTONII [103]2 years ago
3 0
The answer should be C :) in order for there to be a function, first rule is the x number cannot repeat
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A piece of wire of length L will be cut into two pieces, one piece to form a square and the other piece to form an equilateral t
inn [45]

Answer:

  (a)  square: L; triangle: 0.

  (b)  square: L·(-16+12√3)/11; triangle: L·(27-12√3)/11

Step-by-step explanation:

<u>Strategy</u>: First we will write each area in terms of its perimeter. Then we will find the total area in terms of the amount devoted to the square. Differentiating will give a way to find the minimum total area.

__

In terms of its perimeter p, the area of a square is ...

  A_square = p^2/16

In terms of its perimeter p, the area of an equilateral triangle is ...

  A_triangle = p^2/(12√3)

Then the total area of the two figures whose total perimeter is L with "x" devoted to the square is ...

  A_total = x^2/16 + (L-x)^2/(12√3)

__

(a) We know when polygons are regular, the one with the most area for the least perimeter is the one with the most sides. Hence, the total area is maximized when all of the wire is devoted to the square.

__

(b) The derivative of A_total with respect to x is ...

  dA/dx = x/8 -(L-x)/(6√3)

This will be zero when ...

  x/8 = (L-x)/(6√3)

  x(6√3) = 8L -8x

  x(8 +6√3) = 8L

  x = L·8/(6√3 +8) = 8L(6√3 -8)/(64-108)

  x = L·(12√3 -16)/11

The total area is minimized when L·(12√3 -16)/11 is devoted to the square, and the balance is devoted to the triangle.

5 0
3 years ago
The perimeter of a certain rectangle is 16 times the width. The length is 12 cm more than the width. Find the length and width o
Blizzard [7]
Check the picture below

surely you know how much that is.

8 0
3 years ago
I only have a picture so you get a better image
Likurg_2 [28]

Answer:

(15,16)

Step-by-step explanation:

C=halfway between A to B

A to B on the x axis goes across by 24

24/2 =12

3+12=15

A to B on the y axis goes up by 28

28/2 = 14

2+14=16

(15,16)

6 0
3 years ago
Read 2 more answers
What is -1/19,7/4,-4/7 in least to greatest
r-ruslan [8.4K]

Answer:

-4/7 is the smallest. then it's -1/19 and then finally it's 7/4

7 0
3 years ago
Read 2 more answers
What is (12-2i) (5+3i) multiplied?
Ilya [14]
= 12*5 + 12*3i - 5*2i - 6i^2    (remember that i^2 = -1) so:-

= 60 +26i - 6*(-1)

= 60 + 26i + 6

= 66 + 26i
5 0
3 years ago
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