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AlexFokin [52]
3 years ago
7

Match each polynomial in standard form to its equivalent factored form.

Mathematics
1 answer:
GREYUIT [131]3 years ago
3 0

Answer:

  • 8x^3+1   ⇒   (2x+1)(4x^2−2x+1)
  • 2x^4+16x   ⇒   2x(x+2)(x^2−2x+4)
  • x^3+8   ⇒   (x+2)(x^2−2x+4)

Step-by-step explanation:

The factoring of the sum of cubes is ...

  a³ +b³ = (a +b)(a² -ab +b²)

1. a=2x, b=1

  = (2x)³ + 1³

__

2. There is an overall factor of 2x. Once that is factored out, a=x, b=2.

  = (2x)(x³ +2³)

__

3. a=x, b=2

  = x³ +2³

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A winch is being used to pull a 3500-lb vehicle 30'. How much work is performed?
AlekseyPX

Answer:

105,000 foot-pounds.

Step-by-step explanation:

Work done = 3500 * 30 foot pounds

3 0
3 years ago
Can someone help with the two triangle questions (will mark brainliest!!)
yaroslaw [1]

Answer: Number 1 is c=89 ft

Number 2 is b=3 cm

Step-by-step explanation: a²+b²=c²

For number 1, 39 ft is a and 80 ft is b so

39²+80²=c² so 39² is 39x39=1521 and 80² is 80x80=6400 so 6400+1521=7921

7921=c² and the square root of 7921 is 89 so c=89 ft

For number 2, a=1.6 cm and c=3.4 cm so 3.4²-1.6²=b²

3.4² so 3.4x3.4 which is 11.56

1.6² so 1.6x1.6 which is 2.56

11.56-2.56=c² and 11.56-2.56=9

Square root of 9 is 3 so b=3

So number 2 answer is b=3 cm

I hope this helps

4 0
3 years ago
What is the area of this parallelogram??
Pachacha [2.7K]

Answer:

88 m^2

Step-by-step explanation:

They're simply trying to confuse you with the rest of the numbers.

7+4 = 11

^To get the base length.

8 is the height.

11*8=88.

8 0
3 years ago
Read 2 more answers
Using only whole numbers, how can you draw three rectangles with perimeter of 12 units
Assoli18 [71]
Perimeter means the sides add up to 12. 
Rectangles have two pairs of equal sides. 

2(one side) + 2(another side) = 12
2 (one side + another side) = 12 
(one side + another side) = 6 

To draw a rectangle with a perimeter of 12 units, the two adjacent sides must add up to 6. 
1 + 5
2 + 4 
3 + 3

3 0
3 years ago
What is the value of m in the equation 5m − 7 = 6m 11? 18 1 −18 −1.
denpristay [2]

Answer:

-7 = m

Step-by-step explanation:

5m − 7 = 6m

Subtract 5m from each side

5m-5m − 7 = 6m-5m

-7 = m

6 0
2 years ago
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