1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
GenaCL600 [577]
2 years ago
6

Why does the expression i to the power 4n+2 is always equal to -1​

Mathematics
1 answer:
Alexandra [31]2 years ago
7 0

Answer:

See Below.

Step-by-step explanation:

We are given:

i^{4n+2}

Using exponent properties:

=i^{4n}\cdot i^2

Rewriting:

=(i^4)^n\cdot i^2

Since i⁴ = 1 and i² = -1:

=(1)^n\cdot -1

1 to any power is still 1:

=1\cdot -1 = -1

You might be interested in
This trapezium is drawn on a centimetre grid <br> Find the area of the trapezium
MissTica

Answer:

21 cm²

Step-by-step explanation:

A = (b + B)×h/2

= (5 + 9)×3/2

= 14×3/2

= 7×3

= 21 cm²

7 0
3 years ago
Please HELP!!! <br> Factoring Polynomial <br><br> 4x2 + 1x - 3
swat32

Answer:

(4x-3)(x+1)

Step-by-step explanation:

5 0
3 years ago
Help!! Plz complete these two :)
ella [17]
X comes before y and z
6 0
2 years ago
Read 2 more answers
The graph of the function B is shown below. If B(x) = -1, then what is x?
Salsk061 [2.6K]

Answer:

there isnt enough info

Step-by-step explanation:

5 0
3 years ago
Chana and Josiah started skating at the same time in the same direction, but Josiah had a head start 10 meters past the starting
Deffense [45]

Point F is on line a, so it does represent Josiah's distance at a certain time. Also, point F is below line b, so it represents a distance that is less than Chana's distance. This is a distance-time graph problem.

<h3>What is the proof for the above?</h3>

Recall that Josiah had a head start of 10 meters and he skates at 2 meters per second.

Since Y is the function that represents the distance in meters from the finished line, by observation, it is clear to see that all the factors that are related to his race are adequately represented in:

y = 10 + 2x

Where 10 is the head start in meters

2 is the rate at which he skates per second; and

x is the unknown amount of time in seconds.

Given that the point F sits over 25 seconds,

that is F(y) = 10 + 2 * 25

= 60 meters.

Hence, Point F is on line a, so it does represent Josiah's distance at exactly 25 seconds.

Learn more about distance-time graphs at:
brainly.com/question/4931057
#SPJ1

5 0
2 years ago
Other questions:
  • Why help me!!!!!!!!!!
    7·1 answer
  • Item cost 3.60 a bottle and there are 6 in each case how much would 4 cases cost
    9·1 answer
  • What is the name of the point from which a dilation is drawn?
    5·1 answer
  • (x+6)(x-4)<br> Multiply using the distributive property
    5·1 answer
  • How many inches are in 1 meter of ribbon
    7·2 answers
  • Help me I’m struggling
    5·1 answer
  • What is the solution to the given system of equations?<br><br> y=4x-3<br><br> y=-x-13
    7·1 answer
  • You can walk 1 1/2 miles in 1/2 hour. what is your average speed?
    7·1 answer
  • PLZ HELP!!!!!!!!!!!!!!​
    6·1 answer
  • I need bro with this problem
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!