Answer:
Sum = 13+ 4i Difference = -5 - 8i
Step-by-step explanation:
Given complex number as (4 -2i) and (9 + 6i)
Sum of these complex number is
(4 -2i) + (9 + 6i) = ( 4 +9) + (6i -2i)
= 13 +4i
Difference of these complex number is
(4 -2i) - (9 + 6i) = (4 -9) - (2i +6i)
= -5 - 8i
Hence the sum and Difference of given complex numbers are
Sum = 13+ 4i Difference = -5 - 8i Answer
The answer to this problem is “C “
Answer:
4 Hours
Step-by-step explanation:
Let's say that the rate of the machines 1/x, because every time they complete an order, it takes them x hours. To find x, we have to add the the rates of the individual machines, which would equal the rate of the machines working together. We know that there are four machines working together at the same rate, and it took them 32 hours.
So:
1/x + 1/x + 1/x + 1/x = 1/32
1/4x = 1/32
4x = 32
x = 8
Thus, the rate of the machines is 1/8.
Now we have to find the time of the order with only half of the machines working together. This time, we don't know the combined rate, so I'll substitute it for y.
1/8 + 1/8 = 1/y
1/4 = 1/y
y = 4
The time taken to complete it is 4 hours.
Answer:
p=2
Step-by-step explanation:
(3+6i) and (4+pi) is (7+8i)
3+4 = 7
6i+pi = 8i
Subtract 6i from each side
pi = 8i-6i
pi = 2i
That means p = 2
Answer:
All real numbers except for 5.
Step-by-step explanation:
The domain of rational functions is determined by the denominator. The denominator cannot equal zero since if they do, the function will be undefined.
Thus, we need to find the zero(s) of the denominator to determine the domain.
Therefore, the domain of the rational function is all real numbers except for 5.
In set builder notation, this is:
