Here are some
1 ) 4 ( x - 3 )
2 ) 10 x - 2 x - 12
3 ) 8 x - 4 - 8
Answer:
13.5
Step-by-step explanation:
put into calculator
1. the image is multiplied by the scale factor. if the scale factor is 2, the image is twice the size of the preimage. if the scale factor is ⅓, the image is one third the size. only a scale factor of 1 preserves congruency
X-c/2 = d
Multiply by 2 on both sides. Leaves us with:
x-c = 2d
Add 2 to both sides. Leaves us with:
x = 2d + c
Unless you have values to substitute into the variables, this is your answer:
x = 2d + c
Step-by-step explanation:
We will prove by contradiction. Assume that 
is an odd prime but n is not a power of 2. Then, there exists an odd prime number p such that 
. Then, for some integer 
,
Therefore
Here we will use the formula for the sum of odd powers, which states that, for 
and an odd positive number 
,
Applying this formula in 1) we obtain that
.
Then, as 
we have that 
is not a prime number, which is a contradiction.
In conclusion, if is an odd prime, then n must be a power of 2.
