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vazorg [7]
2 years ago
12

X² - 40x-129 resolve into factor​

Mathematics
1 answer:
Lelu [443]2 years ago
8 0

Answer:

(x - 43)(x + 3)

Step-by-step explanation:

consider the factors of the constant term (- 129) which sum to give the coefficient of the x- term (- 40)

the factors are - 43 and + 3 , since

- 43 × + 3 = - 129 and - 43 + 3 = - 40 , then

x² - 40x - 129 = (x - 43)(x + 3) ← in factored form

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andriy [413]

Area of the figure = 30.28 m²

Solution:

The given image is splitted into two shapes.

One is rectangle and the other is semi-circle.

Length of the rectangle = 6 m

Width of the rectangle = 4 m

Area of the rectangle = length × width

                                    = 6 m × 4 m

                                    = 24 m²

Area of the rectangle = 24 m²

Diameter of the semi-circle = 4 m

Radius of the semi-circle = 4 m ÷ 2 = 2 m

Area of the semi-circle = \frac{1}{2} \ \pi r^2

                                      $=\frac{1}{2} \times 3 .14 \times 2^2

                                      =6.28

Area of the semi-circle = 6.28 m²

Area of the figure = Area of the rectangle + Area of the semi-circle

                              = 24 m² + 6.28 m²

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Area of the figure = 30.28 m²

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3 years ago
The length and width of a rectangle are consecutive integers. The perimeter of the
Hunter-Best [27]

The length of the rectangle is 9 feet and the width of the rectangle is 10 feet.

<h3>What is the Perimeter of a Rectangle?</h3>

The sum of a rectangle's boundary lengths on all sides is known as its perimeter. A rectangle's perimeter is a linear measurement that can be expressed in meters, feet, inches, or yards. Let's first comprehend the two fundamental characteristics of a rectangle.

  • A rectangle has four 90° angles.
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Let the length of the rectangle be x feet

Then, the width of the rectangle will be x+1feet

We know that the perimeter of a rectangle is given by

P= 2(l+w)

Here

P= perimeter of a rectangle

l=length of the rectangle

w= width of the rectangle

Put l=x, w= x+1 and P= 38 in the perimeter formula

38 = 2(x+x+1)

Divide both sides by 2

19= x+x+1

19= 2x+1

Subtract 1 from both sides

18=2x

Divide both sides by 2

x=9 feet

This is the length of the rectangle.

Now, the width x+1 of the rectangle will be

9+1 = 10 feet

To know more about the perimeter of a rectangle, visit:

brainly.com/question/2142493

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