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slava [35]
2 years ago
7

Pls help me plss im so STUCK AHhH

Mathematics
1 answer:
Leto [7]2 years ago
7 0
I because -9 is the smallest number and |6| is the biggest number.
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Prove that H c G is a normal subgroup if and only if every left coset is a right coset, i.e., aH = Ha for all a e G
Kaylis [27]

\Rightarrow

Suppose first that H\subset G is a normal subgroup. Then by definition we must have for all a\in H, xax^{-1} \in H for every x\in G. Let a\in G and choose (ab)\in aH (b\in H). By hypothesis we have aba^{-1} =abbb^{-1}a^{-1}=(ab)b(ab)^{-1} \in H, i.e. aba^{-1}=c for some c\in H, thus ab=ca \in Ha. So we have aH\subset Ha. You can prove Ha\subset aH in the same way.

\Leftarrow

Suppose aH=Ha for all a\in G. Let h\in H, we have to prove  aha^{-1} \in H for every a\in G. So, let a\in G. We have that ha^{-1} =a^{-1}h' for some h'\in H (by the hypothesis). hence we have aha^{-1}=h' \in H. Because a was chosen arbitrarily  we have the desired .

 

5 0
2 years ago
What is the value of the function at x = 3?<br><br> Enter your answer in the box.
butalik [34]

Answer:

4

Step-by-step explanation:

Recall a linear function, is a line on a graph made up of an infinite amount of points which satisfy the relationship. That means at x=3 there is a specific point on the line with an output. The value of a function at x=3 asks, what is the output y value for the input x value?

To find it, we locate 3 on the x-axis. We draw a vertical line directly to the line following the grid line. We mark the point on the line. We then draw a horizontal line directly to the y-axis following the grid line. The point we hit on the y-axis is the value of the function.

Here it is 4.

3 0
3 years ago
What is h a=1/2bh what is h
Ivahew [28]
If it is a triangle h is height and b is base.
8 0
3 years ago
Read 2 more answers
-6&lt;2c-4&lt;14 compound inequality​
Vladimir [108]

Answer:

-1 < c < 9

Step-by-step explanation:

-6<2c-4<14

Add 4 to all sides

-6+4<2c-4+4<14+4

-2<2c<18

Divide by 2

-2/2<2c/2<18/2

-1 < c < 9

8 0
3 years ago
1. If 27.4578 is increased by 9.3456, what is the answer?
Dahasolnce [82]

Answer:

36.8034

not sure.....

4 0
2 years ago
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