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Digiron [165]
3 years ago
8

Fill in missing information to make the equality true: (... +2a)2 = … +12ab2+4a2.

Mathematics
2 answers:
BigorU [14]3 years ago
3 0

Answer:

I suppose it should be

6b² and (6b²)²

or

6b² and 36b^{4}

Step-by-step explanation:

(a+b)² = a² + 2ab + b²

therefore

(6b²+2a)² = (6b²)² + 12ab² + 4a²

just olya [345]3 years ago
3 0

Answer:

I suppose it should be

6b² and (6b²)²

or

6b² and 36b^{4}

Step-by-step explanation

(a+b)² = a² + 2ab + b²

therefore

(6b²+2a)² = (6b²)² + 12ab² + 4a²

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What is the sum of the infinite geometric series? Sigma-Summation Underscript n = 1 Overscript 4 EndScripts (negative 144) (one-
11Alexandr11 [23.1K]

Step-by-step explanation:

∑⁴ₙ₌₁ -144 (½)ⁿ⁻¹

This is a finite geometric series with n = 4, a₁ = -144, and r = ½.

S = a₁ (1 − rⁿ) / (1 − r)

S = -144 (1 − (½)⁴) / (1 − ½)

S = -270

If you wanted to find the infinite sum (n = ∞):

S = a₁ / (1 − r)

S = -144 / (1 − ½)

S = -288

8 0
4 years ago
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Answer:

Below.

Step-by-step explanation:

Yes - those are 2 semicircles so their combined area = πr^2

= 3^2π

= 9π.

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3 years ago
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What is the final transformation in the composition of transformations that maps pre-image ABCD to image A"B'C"D"?
tatyana61 [14]

Answer: c. a 270° rotation about point B'

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3 years ago
At a basketball game, a vender sold a combined total of 165 sodas and hot dogs. The number of sodas sold was 39 more than the nu
saw5 [17]

Answer:

  • 102 sodas
  • 63 hot dogs

Step-by-step explanation:

Let s and h represent the numbers of sodas and hotdogs sold, respectively. The problem statement tells you ...

... s + h = 165

... s - h = 39

Add these two equations to get ...

... 2s = 204

... s = 102 . . . . . divide by w

... h = 165 - 102 = 63 . . . . use the first equation to find h from s

The vendor sold 102 sodas and 63 hot dogs at the basketball game.

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4 years ago
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