(-1-3i)(-6-i)
=6+i+18i+3i^2
=3i^2+19i+6. Hope it help!
Answer:
D, if graphed, it would show a straight line.
Step-by-step explanation:
Because the graph has a relationship (disproving A,) and has 5 cards per pack, (disproving B and C,) we can already rule out the answer choice.
Because the value is constant, (x = y(5)) it will be straight, thus giving you your answer. You can even graph the values for a clear representation.
Answer:
The median of the data set is 8
You have to multiply the two complex numbers, and simplify the result as one single complex number.
A complex number is composed by two terms: the real part, which is a real number, and an imaginary part, which is a multiple of i, the imaginary unit.
So, for example, the first factor is
, which means that the real part is 15, and the imaginary part is -4i.
To multiply two complex numbers, you multiply each terms of the first number with each terms of the second number, just like you would multiply two polynomials like
. The only exception is that you have to keep in mind that
.
So, if we multiply these two numbers term by term we have
![(15-4i)(6-3i) = 15\cdot 6 - 15\cdot(-3i) + (-4i)\cdot 6 + (-4i)(-3i)](https://tex.z-dn.net/?f=%20%2815-4i%29%286-3i%29%20%3D%2015%5Ccdot%206%20-%2015%5Ccdot%28-3i%29%20%2B%20%28-4i%29%5Ccdot%206%20%2B%20%28-4i%29%28-3i%29%20)
This can be simplified to
![90 - 45i-24i+12i^2](https://tex.z-dn.net/?f=%2090%20-%2045i-24i%2B12i%5E2%20)
Summing like terms and recalling that
we have
![90-69i-12 = 78-69i](https://tex.z-dn.net/?f=%2090-69i-12%20%3D%2078-69i%20)
So, the multiplication of the two factor gives as result the complex number
. This means that the real part is 78, and the imaginary part is 69i. If you compare the two forms, you have
![78-69i = a+bi \iff a=78\quad b=-69](https://tex.z-dn.net/?f=%2078-69i%20%3D%20a%2Bbi%20%5Ciff%20a%3D78%5Cquad%20b%3D-69%20)