Answer:
3
Step-by-step explanation:
We found the factors and prime factorization of 9 and 12. The biggest common factor number is the GCF number. So the greatest common factor 9 and 12 is 3.
Hope this helps!
Answer:
α² +β² = 3 4/9
Step-by-step explanation:
Assuming α and β are solutions to the equation, it can be factored as ...
(x -α)(x -β) = 0
Expanding this, we get ...
x² -(α +β)x +αβ = 0
Dividing the original equation by 3, we find ...
x² +(1/3)x -5/3 ≡ x² -(α+β)x +αβ ⇒ (α+β) = -1/3, αβ = -5/3
We know that the square (α+β)² can be expanded to ...
(α +β)² = α² +β² +2αβ
α² +β² = (α +β)² -2αβ . . . . . . subtract 2αβ
Substituting the values for (α+β) and αβ, we find the desired expression is ...
α² +β² = (-1/3)² -2(-5/3) = 1/9 +10/3 = 31/9
α² +β² = 3 4/9
Answer:
n = 2
Step-by-step explanation:
2n - 8 = -2 (-3n + 12) + 8
2n - 8 = -(-6n + 24) + 8
2n - 8 = 6n - 24 + 8
2n - 8 = 6n - 16
-4n = -8
Divide each side by 4
n = 2
Commutative property of multiplication is shown above. This is because no matter how you put them, the answer will still be 140.
I would say there would be 5 itineraries ie one each for Thailand, Singapore, Hong Kong, Laos and Bali though for the countries Thailand and Laos there may be more than one stop so there would be a minimum of 5 itineraries.
