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Alex787 [66]
3 years ago
15

PLEASE HELP!

Mathematics
1 answer:
Degger [83]3 years ago
7 0

Answer:

Perimeter = 21.58 units

Step-by-step explanation:

Perimeter of a polygon = Sum of measures of all sides of the polygon

Perimeter of the quadrilateral LEAP = PL + AE + EL + LP

                                                            = 4.47 + 4.47 + 6.32 + 6.32

                                                            = 21.58 units

[If the distances between two point are not given, use the formula to calculate the distance between two points (x_1, y_1) and (x_2,y_2)

Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}]

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Quadrilateral ABCD has the following vertices:
GenaCL600 [577]

9514 1404 393

Answer:

  yes

Step-by-step explanation:

The figure can be shown to be a parallelogram by showing the sum of endpoints of the diagonals is the same.

  A +C = B +D

  (0, 6) +(0, -4) = (0, 2) = (3, 5) +(-3, -3) . . . . diagonals bisect each other

If the diagonals of a quadrilateral bisect each other, it is a parallelogram. A parallelogram with a right angle is a rectangle. So, ABCD is a rectangle.

_____

<em>Additional comment</em>

The midpoint of each diagonal is half the sum of the end point coordinates. That is, the midpoints are (0, 2)/2 = (0, 1). Since calculation of the midpoints requires both sums be divided by 2, we can tell the midpoints are the same if the sums are the same.

6 0
3 years ago
Read 2 more answers
Work out the circumference of this circle take pi (3.142) and give your answer to one decimal place the diameter is 9m
bulgar [2K]

Answer:

28.3

Step-by-step explanation:

9x3.142=28.27800 and if you round that it is 28.3

4 0
2 years ago
PLEASE HELP ME
sineoko [7]

Answer:

C. Exponential

Step-by-step explanation:

If the function is linear, the differences will be equal.

d₁ = y₁ − y₀ = 4.2 − 0.6 = 3.6

d₂ = y₂ − y₁ = 29.4 − 4.2 = 25.2

d₃ = y₃ − y₂ = 205.8 − 29.4 = 176.4

d₄ = y₄ − y₃ = 1440.6 − 205.8 = 1234.8

The differences are not equal, so this is not linear.

If the function is quadratic, the differences of the differences will be equal.

d₂ − d₁ = 25.2 − 3.6 = 21.6

d₃ − d₂ = 176.4 − 25.2 = 151.2

d₄ − d₃ = 1234.8 − 176.4 = 1058.4

The differences of the differences are not equal, so this is not quadratic.

If the function is exponential, the ratios will be equal.

r₁ = y₁ / y₀ = 4.2 / 0.6 = 7

r₂ = y₂ / y₁ = 29.4 / 4.2 = 7

r₃ = y₃ / y₂ = 205.8 / 29.4 = 7

r₄ = y₄ / y₃ = 1440.6 / 205.8 = 7

The ratios are equal, so the function is exponential.

5 0
3 years ago
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
Can someone help me plz
Karo-lina-s [1.5K]

Answer:

y = 2x - 10

Step-by-step explanation:

The slope is 4 + 4 / 7 - 3 = 8 / 4 = 2

y = 2x + b

-4 = 6 + b

b = -10

Thank, 5 star, braniliest if helpful

3 0
2 years ago
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