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Vlad1618 [11]
3 years ago
12

Which of the following is a difference of cubes? x^6 + 27y^9 3x^9 - 64y^3 27x^{15} - 9y^3 125x^{21} - 64y^3

Mathematics
2 answers:
astraxan [27]3 years ago
7 0

Answer:

  • D) 125x²¹- 64y³  

Step-by-step explanation:

  • A) x⁶ + 27y⁹ = (x²)³ + (3y³)³  - sum of cubes
  • B) 3x⁹ - 64y³ - the first term is not a cube
  • C) 27x¹⁵ - 9y³ - the second term is not a cube
  • D) 125x²¹- 64y³ = (5x⁷)³ - (4y)³ - difference of cubes

Correct option is the last one

bearhunter [10]3 years ago
7 0

Answer:

D) 125x²¹- 64y³  

Step-by-step explanation:

A) x⁶ + 27y⁹ = (x²)³ + (3y³)³  - sum of cubes

B) 3x⁹ - 64y³ - the first term is not a cube

C) 27x¹⁵ - 9y³ - the second term is not a cube

D) 125x²¹- 64y³ = (5x⁷)³ - (4y)³ - difference of cubes

<u>Correct option is the last one</u>

<u></u>

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Step-by-step explanation:

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3 years ago
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Elena L [17]

Answer:

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Step-by-step explanation:

4 0
3 years ago
Please ΔEFU ~ ΔVWU. Find the length of UF.
koban [17]
<h3>Answer: UF = 11</h3>

=======================================================

Explanation:

In EFU, we see that EU are the first and last letters. In VWU, we see that VU are the first and last letters. This order is important to be able to pair EU with VU

So EU/VU is one ratio

The other ratio is UF and UW, which are the last two letters of EFU and VWU respectively. So the other ratio is UF/UW

Set the ratios equal to each other and solve for x

EU/VU = UF/UW

7/35 = x/55

7*55 = 35*x ... cross multiply

385 = 35x

35x = 385

x = 385/35 .... divide both sides by 35

x = 11

UF = 11

------------

Or you could note how UV = 35 is exactly 5 times larger compared to EU = 7

That must mean WU = 55 must also be 5 times larger compared to UF = x

So,

WU = 5*UF

55 = 5x

5x = 55

x = 55/5

x = 11

UF = 11

This is similar to the previous section because UV/EU = 35/7 = 5 is the scale factor.

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4 years ago
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Answer:

Step-by-step explanation:

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we can cross multiply

so that means

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3 0
3 years ago
Read 2 more answers
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