Answer:
For complex numbers,
a + bi and a - bi
they have the interesting property that if you add them you get the real number 2a
and if you multiply them , because of the difference of square pattern, you get a^2 - b^2 i^2
But since i^2 = -1, we end up with a real number as a product.
e.g. 6 - 5i and 6 + 5i are conjugates of each other
sum = 6-5i + 6+5i = 12
product = 36 - 25i^2
= 36 -(-25) = 61
Your question is even easier, since the denominator is a monomial instead of a binomial, so we just have to multiply by i/i
Also I believe, according to the answer, that you have a typo, and you meant
(-5+i)/(2i)
= (-5+i)/(2i) *i/i
= (-5i + i^2)/2i^2)
= (-5i +i^2)/-2
= (-5i - 1)/-2
= (1 + 5i)/2 or they way they have it: 1/2 + 5i/2
Answer:
i. No, Maurice statement is wrong.
ii. Stephan does not have sufficient pieces of wood to make the tray because the square inches required is more than what he has.
Step-by-step explanation:
Stephan's piece of wood measures; 18 inches in length and 12 inches in width.
Since the piece of wood has a shape of a rectangle,
the area of the piece of wood = length × width
= 18 × 12
= 216 square inches
According to Maurice's statement, he could make a tray that has a base of 1012 inches by 1012 inches.
The base has the shape of a square, so that;
the area of the base = length × width = 
= 1012 ×1012
= 1024144 squared inches
This shows that Stephan does not have sufficient wood to make the tray because the square inches required is more than what he has.
Answer:
5: 60
6: 30
Step-by-step explanation:
just a matter of multiplying all the possible values
5: 5 pants X 4 shirts X 3 shoes
6: 10 numbers (0-9) X 3 variations (right, left, right,)
Answer:
Angle Z is 33.
Step-by-step explanation:
Angle Z is also 33. X and Z are equivalent angle therefore it has to be 33 as well.
Answer:
C .The initial amount of money placed in the savings account
Step-by-step explanation:
f(x) = 3,267(1 + 0.02)^x
This is in the form
y = a b^x
where a is the initial amount
b is the growth rate
x is the time
3267 is the initial amount
1.02 is the growth rate, so it grows by .02 or 2 percent
and x is the time
