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3241004551 [841]
3 years ago
5

How do I simplify? x2 – 4 divided by x2 + 5x + 6. When working with Functions

Mathematics
1 answer:
CaHeK987 [17]3 years ago
8 0

Answer:

Step-by-step explanation:

Factor the polynomials.

x^2-4 = (x+2)(x-2)

x^2+5x+6 = (x+3)(x+2)

(x^2-4)/(x^2+5x+6) = (x+2)(x-2)/[(x+3)(x+2)] = (x-2)/(x+3)

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What is the slope of 8x - 5y = 20?
Gnom [1K]

Answer: 85

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Simplify. 11 3/4 - 8 1/2 A. 3 1/4 B. 3 1/3 C. 4 1/4
Rainbow [258]

Answer:

A

Step-by-step explanation:

11 3/4 - 8 1/2 = 3 1/4

5 0
3 years ago
Pretty Pavers company is installing a driveway. Below is a diagram of the driveway they are
prohojiy [21]

Answer:

The most correct option is;

(B) 958.2 ft.²

Step-by-step explanation:

From the question, the dimension of each square = 3 ft.²

Therefore, the length of the sides of the square = √3 ft.

Based on the above dimensions, the dimension of the small semicircle is found by counting the number of square sides ti subtends as follows;

The dimension of the diameter of the small semicircle = 10·√3

Radius of the small semicircle = Diameter/2 = 10·√3/2 = 5·√3

Area of the small semicircle = (π·r²)/2 = (π×(5·√3)²)/2 = 117.81 ft.²

Similarly;

The dimension of the diameter of the large semicircle = 10·√3 + 2 × 6 × √3

∴ The dimension of the diameter of the large semicircle = 22·√3

Radius of the large semicircle = Diameter/2 = 22·√3/2 = 11·√3

Area of the large semicircle = (π·r²)/2 = (π×(11·√3)²)/2 = 570.2 ft.²

Area of rectangle = 11·√3 × 17·√3 = 561

Area, A of large semicircle cutting into the rectangle is found as follows;

A_{(segment \, of \, semicircle)} = \frac{1}{4} \times (\theta - sin\theta) \times r^2

Where:

\theta = 2\times tan^{-1}( \frac{The \, number \, of  \, vertical  \, squrare  \, sides  \ cut  \,  by  \  the  \  large  \,  semicircle}{The \, number \, of  \, horizontal \, squrare  \, sides  \ cut  \,  by  \  the  \  large  \,  semicircle} )

\therefore \theta = 2\times tan^{-1}( \frac{10\cdot \sqrt{3} }{5\cdot \sqrt{3}} ) = 2.214

Hence;

A_{(segment \, of \, semicircle)} = \frac{1}{4} \times (2.214 - sin2.214) \times (11\cdot\sqrt{3} )^2 = 128.3 \, ft^2

Therefore; t

The area covered by the pavers = 561 - 128.3 + 570.2 - 117.81 = 885.19 ft²

Therefor, the most correct option is (B) 958.2 ft.².

4 0
3 years ago
Find the value of x of this
almond37 [142]

x: 93⁰ × 117⁰ × 87⁰ x⁰ ×

x : x

3 0
3 years ago
Jim is hiking 4 1/2 mile trail.He has already hiked 2 5/8 miles.How much further does he have to hike?
musickatia [10]

Answer:

1 7/8

Step-by-step explanation:

2 5/8

+1 7/8= 4 1/2

  1. 7=3+4
  2. 5+3=8
  3. 2 5/8 + 3/8= 3
  4. 3 + 1= 4
  5. 4 + 4/8= 4 4/8
  6. 4 4/8 = 4 1/2

3 0
3 years ago
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