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guapka [62]
3 years ago
6

I really need help ! it would mean alot if you did help ❤️ !​

Mathematics
2 answers:
arlik [135]3 years ago
7 0

Answer:

B

Step-by-step explanation:

Hope this helps!!!

Roman55 [17]3 years ago
4 0

Answer:

B. Math , Social Studies , Reading is the answer.

I think this helps you ☺️☺️.

Thank you ☺️☺️☺️

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Determine,in each of the following cases, whether the described system is or not a group. Explain your answers. Determine what i
zheka24 [161]

Answer:

(a) Not a group

(b) Not a group

(c) Abelian group

Step-by-step explanation:

<em>In order for a system <G,*> to be a group, the following must be satisfied </em>

<em> (1) The binary operation is associative, i.e., (a*b)*c = a*(b*c) for all a,b,c in G </em>

<em>(2) There is an identity element, i.e., there is an element e such that a*e = e*a = a for all a in G </em>

<em> (3) For each a in G, there is an inverse, i.e, another element a' in G such that a*a' = a'*a = e (the identity) </em>

<em> </em>

If in addition the operation * is commutative (a*b = b*a for every a,b in G), then the group is said to be Abelian

(a)  

The system <G,*> is not a group since there are no identity.  

To see this, suppose there is an element e such that  

a*e = a

then  

a-e = a which implies e=0

It is easy to see that 0 cannot be an identity.

For example  

2*0 = 2-0 = 2

Whereas

0*2 = 0-2 = -2

So 2*0 is not equal to 0*2

(b)

The system <G,*> is not a group either.

If A is a matrix 2x2 and the determinant of A det(A)=0, then the inverse of A does not exist.

(c)

The table of the operation G is showed in the attachment.

It is evident that this system is isomorphic under the identity map, to the cyclic group

\mathbb{Z}_{5}

the system formed by the subset of Z, {0,1,2,3,4} with the operation of addition module 5, which is an Abelian cyclic group

We conclude that the system <G,*> is Abelian.

Attachment: Table for the operation * in (c)

4 0
3 years ago
The distance a race car travels is given by the equation d=v0t+12at2 where v0 is the initial speed of the race car, a is the acc
Scrat [10]

Answer:

v0 + 1/2at

Step-by-step explanation: Given that the distance a race car travels is given by the equation d = v0t+12at2 where v0 is the initial speed of the race car, a is the acceleration, and t is the time travelled.

The equation for the driver's average speed s during the acceleration will be:

(v0t+12at2) / t

Since Average speed is equal to distance divided by time.

Therefore, the equation will be:

v0+1/2at

7 0
3 years ago
Given: Isosceles TriangleDEF. The measure of vertex Angle D is four times the measure of each base angle E and F.
777dan777 [17]

Answer:

D = 120° , E = 30° , F = 30°

Step-by-step explanation:

Let D = 4x

Let E&F = x

4x + x + × = 180°[angles in triangle is 180°]

6x = 180°

x = 180/6

x = 30°

E = 30°

F =30°

D =4(30°)

=120°

(Correct me if i am wrong)

4 0
3 years ago
Simplify (5 x + 1) - (-10 x + 6)
tekilochka [14]

Answer:15x+7

Step-by-step explanation:

First you would see that the -(-10x+6) would turn into 10x+6 meaning that the whole equation would turn into 5x+1+10x+6. Then add the x numbers together and the whole numbers separate. So now your answer should be 15x+7

8 0
3 years ago
Read 2 more answers
Which two linear equations represent perpendicular lines? select two choices?
denis23 [38]
In order for two linear lines to be perpendicular, the product of their gradient must be -1.

Let's take y = x + b and y = -x + b
This is already in the form: y = mx + b, where m is 1 and -1 respectively.
Since the product of their gradient is -1, they are said to be perpendicular.
7 0
3 years ago
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