Answer:
cos(pi/2) + i sin (pi/2)
Step-by-step explanation:
(1+i)/ (1-i)
Multiply top and bottom by (1+i)
(1+i) (1+i)/ (1-i)(1+i)
Foil the top (1+i)(1+i) = 1 +2i +i^2 = 1 +2i -1 = 2i
Foil the bottom ( 1+i)(1-i) = 1 - i^2 = 1 - (-1) =2
2i/2 = i
the magnitude is (0^2+1^2) = 1
The angle is tan^-1( 1/0) = pi/2
cos(pi/2) + i sin (pi/2)
Answer:
y = -4x+15
Step-by-step explanation:
y=x/4+5 may be presented as y = 1/4 x + 5, where a=1/4, b=5
swapping numerator and denominator and inserting an opposite sign in a=1/4, we have:
1/4 --------> 4/1 -------> -4/1 = -4
y = -4x+n
Point (2,7) means that x=2, y=7 substitute it to the equation y=-4x+n, calculate "n":
7=-4*2+n ------> 7=-8+n -------> 7+8 = n -------> 15=n
substituting n=15 to the equation y=-4x+n, we get finally y=-4x+15
Answer:
1
Step-by-step explanation:
I think 1 is =
2 is =
3 is >
4 is =
5 is =
But I am really not good at math, so I hope I got them right for you!
-Twix