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Rina8888 [55]
1 year ago
14

The length of a rectangle is 5 more than the width. The area is 126 square feet. Find the length and width of the rectangle.

Mathematics
1 answer:
solmaris [256]1 year ago
3 0

The length of the rectangle is 14 feet and the width of the rectangle is 9 feet.

The length of a rectangle is 5 more than the width. The area is 126 square feet.

We need to find the length and width of the rectangle.

<h3>What is the area of a rectangle?</h3>

The area of a rectangle is calculated by multiplying the rectangle's length by its width.

Let the width of the rectangle be x, then the length of the rectangle be x+5.

We know that the area of the rectangle = Length×Width

Now, the area of the rectangle = (x+5)×x=126 square feet.

⇒x^{2}+5x-126=0

⇒x^{2}+14x-9x-126=0

⇒x(x+14)-9(x+14)=0

⇒x=-14, x=9.

Since length cannot be a negative integer.

So, Width=9 feet and Length=9+5=14 feet.

Hence, the length of the rectangle is 14 feet and the width of the rectangle is 9 feet.

To know more about the area of the rectangle visit:

brainly.com/question/20693059

#SPJ1

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What is the slope of this line of best fit?
Bas_tet [7]

Answer:

The slope of the line of best fit is \frac{-6}{7}  ⇒ 2nd option

Step-by-step explanation:

The formula of the slope of a line is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

<em>To find the slope of the best line fit choose two points their positions make the number of the points over the line equal to the number of the points below the line</em>

From the attached graph points (1 , 9) and (8 , 3) are the best choice

∵ The line passes through points (1 , 9) and (8 , 3)

∴ x_{1} = 1 and x_{2} = 8

∴ y_{1} = 9 and y_{2} = 3

- Substitute them in the formula of the slope

∴ m=\frac{3-9}{8-1}=\frac{-6}{7}

∴ The slope of the line of best fit is \frac{-6}{7}

6 0
3 years ago
Which expressions are equivalent to − 56 z + 28 −56z+28minus, 56, z, plus, 28? Choose 2 answers: Choose 2 answers: (Choice A) A
Dmitrij [34]

Answer:

(D)-2(28z-14) \: and\:\\(E) -7(8z-4)

Step-by-step explanation:

We are to determine which of these expressions are equivalent to: -56 z + 28

(A)\frac{1}{2}\cdot(-28z+14) \\(B)(-1.4z+0.7)40\\(C)(14-7z)\cdot(-4)\\(D)(8z-4)(-7)\\(E)-2(-28z-14)

-56 z + 28

  • If we factor out -2

-56 z + 28=-2(\frac{ -56 z}{-2} + \frac{28}{-2})=-2(28z-14)

  • If we factor out -7

-56 z + 28=-7(\frac{ -56 z}{-7} + \frac{28}{-7})=-7(8z-4)

Therefore, the two equivalent expressions are:

-2(28z-14) \: and\: -7(8z-4)

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2 years ago
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Answer:

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Step-by-step explanation:

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Hope that was helpful.Thank you!!!

7 0
3 years ago
Read 2 more answers
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