Answer:
x=3, y=-2, z=1
Step-by-step explanation:
I solved by substitution
First, 27 = 3³, so 27¹⁵ = (3³)¹⁵ = 3⁴⁵.
So we have
27¹⁵ ≡ 3⁴⁵ (mod 33)
and
3 ≡ 3 (mod 33)
3² ≡ 9 (mod 33)
3³ ≡ 27 (mod 33)
3⁴ ≡ 81 ≡ 15 (mod 33)
3⁵ ≡ 3 • 15 ≡ 45 ≡ 12 (mod 33)
From here, the cycle continues:
3⁶ ≡ 3 • 12 ≡ 36 ≡ 3 (mod 33)
3⁷ ≡ 3 • 3 ≡ 9 (mod 33)
and so on.
This is to say that, for each power of 3, where the power is a multiple of 5, the remainder will always be 12, i.e. for any positive integer <em>k</em>,
Answer:
11x-10
Step-by-step explanation:
1.Rearrange terms
-2(4-3x)+(5x-2)
-2(-3x+4)+(5x-2)
2.Distribute
-2(3x+4)+(5x-2)
6x-8+(5x-2)
3.Eleminate redundant parentheses
6x-8+(5x-2)
6x-8+5x-2
4.subtract the numbers
6x-8+5x-2
6x-10+5x
5.Combine like terms
6x-10+5x
11x-10
•solution
11x-10
You cant write that as a decimal cus that would equal 7 wich is a whole number
Answer:
81 m².
Step-by-step explanation:
To find the area of a square, you will simply need to do the side-length squared, or .
If the side-length is 9, we can do:
A = 9²
A = 81 m²