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goldfiish [28.3K]
3 years ago
15

Prove that (2n+1)^2 - (2n+1)^2 is a multiple of 8 for all positive integer values of n

Mathematics
1 answer:
kogti [31]3 years ago
4 0

Answer:

(2n + 1)[(2n + 1) � 1]

(2n + 1)(2n + 1 � 1)

(2n + 1)(2n), or 2n(2n + 1)

2n is an EVEN NUMBER, and adding 1 to an even number creates an ODD number

Therefore, 2n(2n+1)=EVEN NUMBER ODD NUMBER=EVEN NUMBER

Step-by-step explanation:

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-5x+4y=3<br><br> x=2y-15<br><br><br> Solve for y and x
serious [3.7K]

Answer:

<em><u>x=9, y=12</u></em>

Step-by-step explanation:

-5x+4y=3 --------A

x=2y-15----------B

Putting the value of x from B in A

-5(2y-15) +4y=3

-10y+75+4y=3

-6y=3-72

-6y=-72

y=72/6= 12

Putting the value of y =12 in B

x= 2(12)-15

x= 24-15

x=9

3 0
2 years ago
What is the correct answer?
Ivahew [28]

Answer:

C

Step-by-step explanation:

7 0
2 years ago
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Find the missing angles with reasons. plz quick it is due today
likoan [24]

Answer:

d = 64, e = 64, g = 55, f = 55

Step-by-step explanation:

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2 years ago
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Help.It have answer choices​
amm1812
The answer is Impossible
6 0
3 years ago
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Which of the following represents the prime factortzation of 72?
rjkz [21]

Answer:

2³ x 3²

Step-by-step explanation:

The prime factorization of a number is the process of breaking down a number to a set of prime numbers that their product will give the original number:

          72

      2   x    36

      2 x 2 x 18

      2 x 2 x 2 x 9

       2 x 2  x 2 x 3 x 3

So;

  The prime factorization is 2³ x 3²

8 0
3 years ago
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