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4vir4ik [10]
3 years ago
7

The length of a rectangle is 8 feet more than it's width. The area of the rectangle is 84 square feet. Find it's length and widt

h.
Mathematics
1 answer:
S_A_V [24]3 years ago
3 0

Length of the rectangle is 14 ft and width is 6 ft

Step-by-step explanation:

  • Step 1: Let the width of the rectangle be x, then length = 8 + x. Find dimensions if area = 84 ft²

⇒ Area of the rectangle = length × width

⇒ 84 = x(8 + x) = 8x + x²

⇒ x² + 8x - 84 = 0

⇒ x² + 14x - 6x - 84 = 0 (Using product sum rule to factorize)

⇒ x(x + 14) - 6(x + 14) = 0

⇒ (x + 14)(x - 6) = 0

⇒ x = -14, +6 (negative value is neglected)

∴ x = 6 and x + 8 = 14

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Answer:

  • x = 9
  • y = 45
  • z = 9 root 2

Step-by-step explanation:

In this isosceles right triangle, the acute angles are equal and the side lengths have the ratios 1 : 1 : √2

  y° = 90° -45° = 45°

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Answer:

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3 years ago
In science class, the average score on a lab report is 82 points, with all students scoring within 3.2 points of the average. if
gregori [183]

The absolute value equation that represents the minimum and maximum scores is:

|x - 82| = 3.2.

<h3>What is the absolute value function?</h3>

The absolute value function is defined by:

  • f(x) = x, x ≥ 0.
  • f(x) = x, x < 0.

It measures the distance of a point x to the origin.

For this problem, the distance between the minimum and the maximum scores and the mean is of 3.2, that is, the difference between these scores x and the mean of 82 is of 3.2, hence the absolute value equation that represents this situation is given by:

|x - 82| = 3.2.

More can be learned about absolute value equations at brainly.com/question/24514895

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2 years ago
What would be the steps taken to solve (x+3)^2-1=35
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Answer:

Step-by-step explanation:

(x+3)^2=35+1

(x+3)^2=36

(x+3)^2=6^2

taking squareroot

x+3=+-6

x+3=6,-6

x=6-3=3

or x=-6-3=-9

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