Answer:
If Z is a complex number:
Z = a + b*i
where a and b are real numbers, and i is an imaginary number.
Then "a" is the real part.
"b*i" is the imaginary part.
The conjugate of Z is:
Zc = a - b*i
So the sign of the imaginary part changes.
Then:
Sum:
Z + Zc = (a + bi) + (a - bi) = 2*a + 0 = 2*a
and remember that a is a real number, then 2*a is also a real numer.
The correct answer is "A real number".
Difference:
Z - Zc = (a + bi) - (a - bi) = 2b*i
and this is a pure imaginary number, so here the correct answer is: "a pure imaginary number"
Answer:
31:150
Step-by-step explanation:
First of all we convert the hours into minutes:
5×60=300
which gets us 42:300, which we can simplify to:
31:150
and is 31 is prime and 150 can't be divided into it without a remainder, it is in it's simplest form and it is the answer.
Answer:
f(x) = 4/7x + 20/7
Step-by-step explanation:
If we were to graph this function, we would see that the two points would be, (-5, 0), and (2, 4). First, we have to find the slope, which is equal to:
<u>(first y-coordinate - the second y coordinate)</u>
(first x-coordinate - second x coordinate)
= <u>(0 - 4)</u>
(-5 - 2)
= -4/-7 = 4/7. now, we multiple -5 by 4/7 and get -20/7. we have to add 20/7.
Thus, the answer is f(x) = 4/7x + 20/7
Answer:
8x²+6x+12xy+9y
Step-by-step explanation:
⇒(-2x - 3y)(-4x - 3)
⇒(-2x × -4x)+(-2x × -3)+(-3y × -4x)+(-3y × -3)
⇒8x²+6x+12xy+9y
