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melisa1 [442]
3 years ago
6

Ms.Cubaj uses a piece of rope that is 40 meters long to make a rectangular garden. The perimeter of the rectangle must be 40. Wr

ite a function that represents the area of the rectangle with the length l.
Mathematics
1 answer:
Harrizon [31]3 years ago
3 0

Answer:

A function that represent the area of rectangle with length is                 20 l - l²  .

Step-by-step explanation:

The total length of rope = L =40 meters

The perimeter of rectangular garden which can be made using rope = p = 40 meters

Let the width of rectangular garden = w meters

And The length of rectangular garden = l meters

Now,

The perimeter of rectangular garden = 2 × Length + 2 × width

I.e p = 2 × l + 2 × w

Or, 40 meters = 2 × l + 2 × w

I.e l + w = \dfrac{40}{2}

∴ l + w = 20

Or, w = 20 - l

Now, Again

Let The area of rectangular garden = A = Length × width

Or, A = l × w

Or, A =  l × (20 - l)

∴ A = 20 l - l²

So, Area of rectangular garden = A = 20 l - l²

Hence, A function that represent the area of rectangle with length is                 20 l - l²  . Answer

 

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<h3>How to determine the terms, coefficients, and constants in the variable expressions?</h3>

To determine the terms, coefficients, and constants, we use the following instance:

ax + by + c

Where the variables are x and y

  • Then the terms are ax, by and c
  • The coefficients are a and b
  • The constant is c

Using the above as guide, we have:

A) 2b + 2ac+5

  • Terms: 2b, 2ac, 5
  • Coefficient: 2, 2 and 5
  • Constant 5

B) 34abx + 16y +1

  • Terms: 34abx, 16y, 1
  • Coefficient: 34ab, 16
  • Constant: 1

C) st +4u + v

  • Terms: st, 4u, v
  • Coefficient: 4

D) 14xy + 6

  • Terms: 14xy, 6
  • Coefficient: 14, 6
  • Constant 6

E) 14x + 12y

  • Terms: 14x, 12y
  • Coefficient: 14, 12

F) 3+ 6-7+a

  • Terms: 3, 6, -7, a
  • Coefficient: 1
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brainly.com/question/14625487

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5 0
1 year ago
What is the value of 3-6(z-2) if z=-2
krek1111 [17]

Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

3 - 6(z - 2)

z = -2

<u>Step 2: Evaluate</u>

  1. Substitute in <em>z</em>:                   3 - 6(-2 - 2)
  2. (Parenthesis) Subtract:      3 - 6(-4)
  3. Multiply:                              3 + 24
  4. Add:                                    27
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2 years ago
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AveGali [126]

Answer:

-7/3

Step-by-step explanation:

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Solve

1

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{\color{#c92786}{12x-8}}=3(6x+2)

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Distribute

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12x-8={\color{#c92786}{18x+6}}

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12x-8=18x+6

12−8+8=18+6+8

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Solution

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