Recall Euler's theorem: if 
, then
where 
is Euler's totient function.
We have 
- in fact, 
for any 
since 
and 
share no common divisors - as well as 
.
Now,
where the 
are positive integer coefficients from the binomial expansion. By Euler's theorem,
so that
Answer:
Step-by-step explanation:
1. (sq root of) a^2 if a>0 => √(a^2) = ±a
2. (sq root of) 36x^2 if a>0 => ±6x
Answer:
L (1, - 7 )
Step-by-step explanation:
give endpoints (x₁, y₁ ( and (x₂, y₂ ) then the midpoint is
( 
, 
)
here (x₁, y₁ ) = K (9, - 7 ) and (x₂, y₂ ) = L (x, y )
use the midpoint formula and equate to corresponding coordinates of M
= 5 ( multiply both sides by 2 to clear the fraction )
9 + x = 10 ( subtract 9 from both sides )
x = 1
and
= - 7 ( multiply both sides by 2 )
- 7 + y = - 14 ( add 7 to both sides )
y = - 7
Then L = (1, - 7 )
The tenth place is the first number to the right of a decimal. To determine if you're rounding or not, check the hundred's place, 2 numbers to the right of a decimal, for 5 or higher. If it's .45, round to .5, if it's .44, round to .4
Your answer is 524.5, which is B.)
1. a = 1/2x - 3
2. a = 2x + 7
