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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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3 years ago
Y = x + 2<br> y = 2x - 5<br> what is x and y
lana66690 [7]

Answer:

x= 7 y= 9 (7,9)

Step-by-step explanation:

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7 0
3 years ago
Please help me get this done. due at 11:59 tonight
kakasveta [241]

Answer:

<em>m∠C = 30° </em>

Step-by-step explanation:

If ΔADB is an equilateral, then m∠A = m∠ADB = m∠DBA = 60°

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m∠C + m∠BDC = m∠DBA = 60° ⇒ <em>m∠C = 30°</em>

6 0
3 years ago
The cost of a new CD is $14.95, and the cost of a video game is $39.99. How much would c CDs and v video games cost?
8090 [49]

Answer:

14.95c+39.99v

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
NEED HELP ASAP (WILL GIVD BRAINELST)
Marizza181 [45]

Answer:

5

Step-by-step explanation:

The answer is 60/12 becuase we can simfly both of theese mixed numbers into an improper fraction, wich will be 4/3*15/4. We do the multiplication, and we get 60/12. 60/12 can be simplifed to 5 becuase 60 divided by 12 is 5

6 0
2 years ago
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