9514 1404 393
Answer:
25 +0i
Step-by-step explanation:
The conjugate of a complex number is that number with the sign of the imaginary part reversed.
For z = -3+4i, its conjugate z* is -3-4i. The product of z and z* is ...
(-3 +4i)(-3 -4i) = -3(-3 -4i) +4i(-3 -4i)
= 9 +12i -12i -16i² = 9 +16 = 25
The real part of the product is 25; the imaginary part is 0.
(-3 +4i)(-3 -4i) = 25 +0i
_____
You may have noticed that (z)(z*) = |z|², the sum of the squares of the real and imaginary parts. It is always a non-negative real number.
Answer:
Sample space = {(MTR), (MTV) (MPR) (MPV) (ATR) (ATV) (APR) (APV)}
Step-by-step explanation:
When they ask for the sample space they want to know all the possible combinations for:
Toppings Meats Dressings
M = Mushrooms T = Turkey R = Ranch
A = Asparagus P = Pepperoni V = Vinaigrette
The easiest way to see all the combinations is doing a tree diagram in which you put all the posible options, as in the image.
After that you just follow each of the lines to make all the posible combinations form which we get:
Sample space = {(MTR), (MTV) (MPR) (MPV) (ATR) (ATV) (APR) (APV)}
Answer:
Jill earned 56.25 and if you were adding all of the time she worked
Answer:
2y -5x=6
Step-by-step explanation:
Equation of a line is (y-y1) =m(x-x1)
(y+7) =(5/2)(x+4)
2(y +7) = 5(x+4)
2y +14 = 5x +20
2y - 5x = 6