Answer:
5
Step-by-step explanation:
Did you mean length instead of tenth? If so, 22*2=44, 64-44=20, 20/2=10. The length of the rectangle is 10 so to find the value of x, divide 10 by 2 so, 10/2=5, and x is equal to 5. : )
Let's raise i to various powers starting with 0,1,2,3...
i^0 = 1
i^1 = i
i^2 = ( sqrt(-1) )^2 = -1
i^3 = i^2*i = -1*i = -i
i^4 = (i^2)^2 = (-1)^2 = 1
i^5 = i^4*i = 1*i = i
i^6 = i^5*i = i*i = i^2 = -1
We see that the pattern repeats itself after 4 iterations. The four items to memorize are
i^0 = 1
i^1 = i
i^2 = -1
i^3 = -i
It bounces back and forth between 1 and i, alternating in sign as well. This could be one way to memorize the pattern.
To figure out something like i^25, we simply divide the exponent 25 over 4 to get the remainder. In this case, the remainder of 25/4 is 1 since 24/4 = 6, and 25 is one higher than 24.
This means i^25 = i^1 = i
Likewise,
i^5689 = i^1 = i
because 5689/4 = 1422 remainder 1. The quotient doesn't play a role at all so you can ignore it entirely
Answer:
8+7i
Step-by-step explanation:
Answer:
-1/7
Step-by-step explanation:
The first step is to isolate the variable, x. To do so, add x to both sides. This gives you the new equation: 2 + 7x = 1.
Now, subtract 2 from both sides to further isolate the variable, giving you 7x = -1.
Divide both sides by 7, giving you the final equation of x = -1/7.
