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Sedaia [141]
2 years ago
5

Jack and Serena can write a lab report together in 12 hours. If all people work at the same rate, how many hours would it take t

o write a lab report if Kay joins Jack and Serena?
Mathematics
1 answer:
Softa [21]2 years ago
5 0
The answer would be 4 hours because 12/3 is 4
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Step-by-step explanation:

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Step-by-step explanation:

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irinina [24]

Answer:

It is a perfect square expression.

It factors to (x+2)^2

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

Explanation:

The general format for a perfect square is

(a+b)^2 = a^2 + 2ab + b^2

Which can be seen through the use of the FOIL rule.

Compare x^2+4x+4 with a^2+2ab+b^2, and we have these three equivalences:

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  • 4x = 2ab .... middle terms
  • 4 = b^2 .... last terms

Since x^2 = a^2, we can apply the square root to both sides to get a = x. Similarly, 4 = b^2 leads to b = 2. We could get b = -2, but that would mean 2ab = 2x*(-2) = -4x instead of 4x. So we'll stick with b = 2 instead.

Because a = x and b = 2, we then can say:

(a+b)^2 = a^2 + 2ab + b^2

(x+2)^2 = x^2 + 2*x*2 + 2^2

(x+2)^2 = x^2 + 4x + 4

Showing that x^2+4x+4 factors to (x+2)^2.

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.---------. _

'-O------O--'

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