Answer:
See proof below
Step-by-step explanation:
Let 
. If w=-z, then r=0 and r is real. Suppose that w≠-z, that is, r≠0.
Remember this useful identity: if x is a complex number then 
where 
is the conjugate of x.
Now, using the properties of the conjugate (the conjugate of the sum(product) of two numbers is the sum(product) of the conjugates):
=
Thus 
. From this, 
. A complex number is real if and only if it is equal to its conjugate, therefore r is real.
Each student sells 9 balloons because 162 balloons divided by 6 groups of students is 27, and 27 divided by 3 students is 9 balloons.
I strongly believe your answer is correct
It would be A. It is A because 5 is negative, 2.1 is negative, 0.3 and 3.1 are positive. Also 5 is greater than 2.1, so in this case -5 would be before -2.1.
Answer:
-12
Step-by-step explanation:
Let the number be A
Given if you divide the sum of six and the number A by 3 , the result is 4 more than 1/4 of A
That’s
6+A/3 = 4+1/4 of A
6+A/3 = 4+1/4 x A
6+A/3 = 4+A/4
Cross multiply
4(6 + A) = 3(4 + A)
Distribute
4 x 6 + 4 x A = 3 x 4 + 3 x A
24 + 4A = 12 + 3A
Subtract 24 from both sides to eliminate 24 on the left side
24 - 24 + 4A = 12 - 24 + 3A
4A = -12 + 3A
Subtract 3A from both sides so the unknown can be on one side
4A - 3A = -12 + 3A - 3A
A = -12
Check
6+(-12)/3 = 4 +(-12)/4
6 -12/3 = 4 -12/4
-6/3 = -8/4
-2 = -2
