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mel-nik [20]
2 years ago
11

Help plz i will give brainliest!!

Mathematics
1 answer:
melamori03 [73]2 years ago
8 0
Precipitation is when liquid falls from the atmosphere and reach the surface of the Earth. Condensation is when water vapor changes back into water (in liquid form).
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What is the slope between the points (3, 5) and (-2, -4)?
VARVARA [1.3K]
1 (B), because 3+-2=1, and 5+-4=1, which amounts to 1/1, or whole number 1.
4 0
3 years ago
Prove that u(n) is a group under the operation of multiplication modulo n.
katrin2010 [14]

Answer:

The answer is the proof so it is long.

The question doesn't define u(n), but it's not hard to guess.


Group G with operation ∘

For all a and b and c in G:

1) identity: e ∈ G, e∘a = a∘e = a,

2) inverse: a' ∈ G, a∘a' = a'∘a = e,

3) closed: a∘b ∈ G,

4) associative: (a∘b)∘c = a∘(b∘c),

5) (optional) commutative: a∘b = b∘a.


Define group u(n) for n prime is the set of integers 0 < i < n with operation multiplication modulo n.


If n isn't prime, we exclude from the group all integers which share factors with n.


Identity: e = 1. Clearly 1∘a = a∘1 = a. (a is already < n).


Closed: u(n) is closed for n prime. We must show that for all a, b ∈ u(n), the integer product ab is not divisible by n, so that ab ≢ 0 (mod n). Since n is prime, ab ≠ n. Since a < n, b < n, no factors of ab can equal prime n. (If n isn't prime, we already excluded from u(n) all integers sharing factors with n).


Inverse: for all a ∈ u(n), there is a' ∈ u(n) with a∘a' = 1. To find a', we apply Euclid's algorithm and write 1 as a linear combination of n and a. The coefficient of a is a' < n.


Associative and Commutative:

(a∘b)∘c = a∘(b∘c) because (ab)c = a(bc)

a∘b = b∘a because ab = ba.


5 0
3 years ago
Read 2 more answers
A motorboat takes 3 hours to travel 108 going upstream. The return trip takes 2 hours going downstream. What is the rate of the
Natalija [7]
Let s and c be the rate of the boat in still water and the rate of the current, respectively. Then:
108/s-c=3
108/s+c=2
3s-3c=108
2s+2c=108
Solve for s and c
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4 0
3 years ago
The diagram shows a dilation of line AB
Orlov [11]

Answer:

1. OA= 2.0 OA’= 3.0

2. OB= 3.0 OB’= 4.5

3. AB= 2.2 A’B’= 3.3

4. 1.5

5. 1.5

6. 1.5

7 0
3 years ago
Read 2 more answers
( 2 , -2 ) and x - y = 12
Nataly_w [17]

Answer:4=12

Step-by-step explanation:

7 0
3 years ago
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