shubhampaudel9 shubhampaudel9
  • 31-07-2020
  • Mathematics
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Marked out of 1.00
P Flag question
If a + b = 4, b + c = 5 and c + a = 7 what is
the value of (a + b + c)^2?
O a. 256​

Respuesta :

Alfpfeu
Alfpfeu Alfpfeu
  • 31-07-2020

Answer:

[tex]\large \boxed{\sf \ \ 64 \ \ }[/tex]

Step-by-step explanation:

Hello,

[tex]2(a+b+c)=(a+b)+(b+c)+(c+a)=4+5+7=16\\\\\text{*** divide by 2 both sides ***}\\\\(a+b+c)=\dfrac{16}{2}=8 \ \ \text{ so...}\\\\(a+b+c)^2=8^2=\large \boxed{64}[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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