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mojhsa [17]
3 years ago
12

Which of the following is equivalent to the to complex number i^21​

Mathematics
1 answer:
Debora [2.8K]3 years ago
7 0

Answer:

i

Step-by-step explanation:

Next time please share the possible answers.  Thank you.

Notice that i^4 = 1.  

Factoring i^21, we get    (i^20)(i^1)  = (1)^20i = i

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Solve the system of equations. y=-3x+4 -4x+y=-10​
Angelina_Jolie [31]

Answer:

Step-by-step explanation:

In this particular case we have the following system of equations:

y

=

−

3

x

+

4

[

E

q

.

1

]

x

+

4

y

=

−

6

[

E

q

.

2

]

Substituting

[

E

q

.

1

]

in

[

E

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.

2

]

:

x

+

4

(

−

3

x

+

4

)

=

−

6

Applying the distributive property on the left side:

x

−

12

x

+

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=

−

6

Simplifying

:

−

11

x

=

−

22

Solving for

y

:

x

=

−

22

−

11

=

2

Substituting

x

=

2

in

[

E

q

.

1

]

:

y

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−

3

(

2

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+

4

=

−

2

Therefore

, the solutions are

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7 0
3 years ago
Read 2 more answers
Solve by substitution or elimination;<br><br> x+2y=-1<br> x-y=5
Strike441 [17]
I would love to use substitution (It is simplier that way I guess)

solve your system of equations.

x+2y=−1;x−y=5

Solve x+2y=−1 for x:

x+2y+−2y=−1+−2y(Add -2y to both sides)

x=−2y−1

Substitute (−2y−1) for x in x−y=5:

x−y=5

−2y−1−y=5

−3y−1=5(Simplify both sides of the equation)

−3y−1+1=5+1(Add 1 to both sides)

−3y=6

−3y/−3 = 6/−3(Divide both sides by -3)

y=−2

Substitute (−2) for y in x=−2y−1:

x=−2y−1

x=(−2)(−2)−1

x=3(Simplify both sides of the equation)

So the answer is (x = 3 and y = -2)

7 0
3 years ago
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Which arrangement shows 27/5, 5.36, 5 3/5, 33/6 in order from least to greatest?
tankabanditka [31]

Answer:

5.36 < 27/5 < 33/6 < 5 3/5 or 5.36, 27/5, 33/6, 5 3/5

Step-by-step explanation:

5 0
3 years ago
What is the common difference between successive terms in the sequence?<br> 2, 8, 14, 20, 26, ...
Bas_tet [7]

Answer:

32

Step-by-step explanation:

The sequence is going six numbers up each time. For example 2 plus six is 8. 8 plus six is 14. 14 plus six is 20 and so on.

3 0
3 years ago
Systems of equation:substitution
Igoryamba

Step-by-step explanation:

8)

describe y in terms of x

y=5+x

so now replace y with terms of x

5+x+3x=37

4x=32

x=8

y=13

9)

do the same here

x=y+1

2y+x=19

2y+y+1=19

3y=18

x=6

y=7

6 0
3 years ago
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