Answer:
i
Step-by-step explanation:

Multiplying by i repeats the pattern
.
Thus, any i⁴ⁿ = 1
If n = 3, 4n = 12, so
i¹² = 1 and
i¹³ = i¹ = i
Since they need at least 1 man and 1 woman the posibilties are
1 man 4 women
2 men 3 women
3 men 2 women
4 men 1 woman
Answer:
157 / 110
Step-by-step explanation:
1.42727........
1000x = 1427.2727.......
10x = 14.2727....... ( - )
___________________
990x = 1413
___________________
x = 1413 / 990
x = 157 / 110
Therefore,
1.42727........ in fraction is 157 / 110.
Since our line is perpendicular to this line, the slope of
our line is the negative reciprocal of 1/4, which is -4/1.
Remember, negative reciprocal is just a fancy way
of saying flip the fraction and change the sign.
So the slope of our line is -4/1 and we use this slope along
with our given point to write the equation of our line.
Start with the point-slope formula.
Y - y1 = m(x - x1).
~Substitute
Y - -2 = -4/1(x - 5).
Minus a negative is plus a positive.
Y + 2 = -4/1x + 20.
Subtract 2 from both sides.
Y = -4/1x + 18
So, our answer is C.
Answer:
(2,√21)
Step-by-step explanation:
The circle centered at the origin has equation:

Any point that satisfies this equation lie on this circle.
When x=2, we substitute and solve for y.

Take square root to get:

Therefore (2,-√21) and (2,√21) are on this circle.
From the options, (2,√21) is the correct answer