very positive about these results
Answer:
Step-by-step explanation:
a) We have 15! as the product of 1 to 15 natural numbers. Since 17 is prime there will be no factor common to these
By actual division we find
15! (mod 17) =16
From this we deduce
even 16! mod 17 = 16 = -1
According to Wilson theorem
(17-1)! = -1 mod 17
Thus verified 17 is prime
Hence 15! (mod 17) =-1=16
-----------------------
b) 2(26!) is divided by 29
Since 29 is prime
(29-1)! = -1 mod 29
28! = -1 mod 29 = 28
When divided this gives 25 as remainder
Answer:
3x + y = -10
Step-by-step explanation:
Answer:
64 cm²
Step-by-step explanation:
Suppose the original paper was x cm on a side. Then the original perimeter was 4x.
When the square is folded in half, two of the sides are now x/2, so the perimeter is ...
x + x/2 + x + x/2 = 3x
If 3x = 24 cm, then x = 8 cm.
The area of the original paper is ...
A = x² = (8 cm)² = 64 cm²
2r-3.1=1.7
Add 3.1 from both sides
2r= 4.8
R= 2.4