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lakkis [162]
2 years ago
7

What is the product of the polynomials below? (4x^2-2x-4)(2x+4)

Mathematics
1 answer:
Travka [436]2 years ago
7 0

Answer:  8x³ + 12x² - 16x - 16

<u>Step-by-step explanation:</u>

  (4x² - 2x - 4)(2x + 4)

= (2x + 4)(4x² - 2x - 4)

= 2x(4x² - 2x - 4)  +  4(4x² - 2x - 4)

=   8x³ - 4x² - 8x   +  16x² - 8x - 16

=   8x³ + (-4x² + 16x²) + (-8x - 8x) - 16

=   8x³ + 12x² - 16x - 16

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An 80-m tower is supported by a guy wire attached to the top of the tower. If the wire forms an
nalin [4]

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The length of the wire is 81.5 meters.

<h3>What is Sine (Sinθ)?</h3>

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,

Sin(θ) = Perpendicular/Hypotenuse

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The hypotenuse is the longest side of the triangle.

The length of the tower is 80 meters, while the angle of elevation is 79°. Therefore, the length of the wire will be the hypotenuse of the triangle. Therefore, the length of the wire is,

Sin(θ) = Perpendicular/Hypotenuse

Sin(79°) = 80 meter/Length of the wire

Length of the wire = 81.4973 ≈ 81.5 meters

Hence, the length of the wire is 81.5 meters.

Learn more about Sine:

brainly.com/question/21286835

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5 0
2 years ago
Mrs. Lane took a survey of the types of pants her students were wearing. She collected the data at the right. What percent of he
Nadya [2.5K]

Answer:

It is always important to go through the given problem first to get a concept of the requiremement. Then all the information's available from the question has to be noted down in such a manner that there would be no need to look at the question while solving.

Total number of students wearing jeans = 10

Total number of students wearing shorts = 9

Total number of students wearing capris = 2

Then the total number of students surveyed by Mrs Lane = (10 + 9 + 2)

                                                                                           = 21

Now percentage of students wearing shorts = (9/21) * 100

                                                                      = (3/7) * 100

                                                                      = 300/7

                                                                      = 42.85 percent

So a total percentage of 42.85% of the students were wearing shorts.

Step-by-step explanation:

6 0
3 years ago
Solve the system of linear equations by elimination.<br> 5 - 2y = -8<br> 4x – 4y= 8
Alenkasestr [34]

Answer:

x = 17/2

y = 13/2

Step-by-step explanation:

Hope this helps!

6 0
2 years ago
A bicycle tire is 28 inches in diameter.Approximately how far does the bicycle move forward each time the wheel goes around?(use
Debora [2.8K]

Answer:

88 Inches

Step-by-step explanation:

For any bicycle tire of a given diameter, the approximate distance moved by the bicycle each time the wheel goes around is determined by the circumference of the circular wheel.

Since the diameter =28 Inches

Circumference =\pi d =\frac{22}{7}X28 =88$ Inches

The bicycle moves 88 Inches forward each time the wheel goes around.

4 0
3 years ago
PLZ HELP I WILL GIVE THE BRAINLEST AND 22 PTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! An expression is shown below: 6(m + 2 +
n200080 [17]

Answer:

part A: expression 1: 6(8m+2)

          expression 2: 6m+12+42m

Part B: 6(m+2+7m)= 6(8m+2)

combine like terms is 6(m+2+7m), so it is 6(2+8m) or 6(8m+2)

6(8m+2)= 6(8m+2)

Part C: 6m+12+42m=6(m+2+7m)

m=0

6(0+2+7(0))=6(0)+12+42(0)

6(2)= 12

12=12

7 0
3 years ago
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