Answer:
Step-by-step explanation:8 inches
89 is the answe 89
Five times 12 is 60 and Six times five us 30 add them up you get 90 dollar when you work 17 hours between to Jobs
Answer:
slope = 3
Step-by-step explanation:
Given a line with slope m then the slope of a line perpendicular to it is
= - 
Given m = - 
, then
= - 
= 3
Answer:
The highway fence cost $600.
Step-by-step explanation:
Since the highway fence is twice as cost as the one of the other 4 sides, this means that the highway fence = 2 normal fence.
Therefore, we use
$1800 / highway fence(2 normal fence) + 4 normal fence
$1800 / (2 + 4) = $300
This means that every normal fence cost $300.
Which then we get the highway fence is $600 because it costs double of the normal fence.
Answer:
The prove is as given below
Step-by-step explanation:
Suppose there are only finitely many primes of the form 4k + 3, say {p1, . . . , pk}. Let P denote their product.
Suppose k is even. Then P ≅ 3^k (mod 4) = 9^k/2 (mod 4) = 1 (mod 4).
ThenP + 2 ≅3 (mod 4), has to have a prime factor of the form 4k + 3. But pₓ≠P + 2 for all 1 ≤ i ≤ k as pₓ| P and pₓ≠2. This is a contradiction.
Suppose k is odd. Then P ≅ 3^k (mod 4) = 9^k/2 (mod 4) = 1 (mod 4).
Then P + 4 ≅3 (mod 4), has to have a prime factor of the form 4k + 3. But pₓ≠P + 4 for all 1 ≤ i ≤ k as pₓ| P and pₓ≠4. This is a contradiction.
So this indicates that there are infinite prime numbers of the form 4k+3.
