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love history [14]
3 years ago
7

A rectangle with area 36 square inches has a length that is 3 less than 3 times the width. Find the length and the width of the

rectangle.
Mathematics
1 answer:
OlgaM077 [116]3 years ago
4 0

Answer:

length = 9 in ; width = 4 in

Step-by-step explanation:

1) formula of the area of a rectangle

A = base x width

2) write an equation with the given informations:

w x (3w-3) = 36

3) solve the equation

-  multiply W by 3w and -3

3w^2 -3w = 36

- divide the two members by 3

w^2 - w = 12

- add up -12 at the two members

w^2-w -12 = 12 -12

w^2 - w - 12 = 0

- find two numbers whose sum is -1 and whose product is -12 and factorise the equation

(w-4)(w+3) = 0

- find the two solutions

w-4 = 0

w = 4

w+3 = 0

w = -3

4)remember that a length can’t be negative.

w = 4 is the only solution

5) find the length

4x3 - 3 = 9

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A 64-inch board is cut into three pieces so that the second piece is twice as long as the first piece, and the third
Dafna1 [17]
<h3>Answer:  40 inches</h3>

==========================================================

Explanation:

  • x = first piece
  • 2x = second piece, since its twice as long as the first
  • 5x = third piece, since its five time as long as the first

x is some positive real number, and the units of each are in inches.

Add up the smaller pieces and we should get 64 inches back again

x+2x+5x = 64

8x = 64

x = 64/8

x = 8

The first piece is 8 inches long.

2x = 2*8 = 16 is the length of the second piece (in inches)

The third piece is 40 inches because 5x = 5*8 = 40

--------

Summary:

first = 8 inches

second = 16 inches

third = 40 inches

Check: 8+16+40 = 64, which confirms the answer

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3 years ago
What is the value of (2 + 3i) + (6 - 4i)?
user100 [1]

Answer:

The answer is C

Step-by-step explanation:

(2 + 3i) + (6 - 4i) = 8 - i

3 0
3 years ago
Read 2 more answers
Find the sum and choose the correct answer. <br> 2n 3 + 4n 2 - 7 and -n 3 + 8n - 2
MrRa [10]

The sum of the polynomials 2n³ + 4n² - 7 and -n³ + 8n - 2 will be n³ + 4n² + 8n - 9. Then the correct option is B.

<h3>What is polynomial?</h3>

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

The polynomials are given below.

2n³ + 4n² - 7 and -n³ - 8n - 2

The sum of the polynomials will be

⇒ 2n³ + 4n² - 7 + (-n³ - 8n - 2)

⇒ 2n³ + 4n² - 7 - n³ - 8n - 2

⇒ n³ + 4n² - 8n - 9

The sum of the polynomials 2n³ + 4n² - 7 and -n³ + 8n - 2 will be n³ + 4n² - 8n - 9.

Then the correct option is B.

More about the polynomial link is given below.

brainly.com/question/17822016

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6 0
1 year ago
Please help me serious answers I really need it
Nezavi [6.7K]

Answer:

Step-by-step explanation:

the answer is b

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2 years ago
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larisa [96]

Answer:

  • 17. A. 180 in²
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Step-by-step explanation:

#17

<u>Total surface area is:</u>

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Correct option is A

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<u>Total surface area is:</u>

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Correct option is B

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