PLEASE HELP!!
Which two complex numbers when added together and written in the standard form will give you 19 – 2i?
A.   7 − 3i
B.   −5 − 8i
C.   12 + i
D.   −4 + 9i
E.   6 − 6i
F.   −9 + 15i
G.  1 + 10i
H.  11 − 12i

Respuesta :

Answer: A and C

Notice how 7+12 = 19 which constitutes the real part while -3i+i = -3i+1i = -2i is the imaginary part. 

Answer:

Option A and C are correct.

[tex]7-3i[/tex] and [tex]12 + i[/tex]

Step-by-step explanation:

A standard complex number is in the form of [tex]a+ib[/tex]

where a represents the real number and bi is the imaginary part.

From the given options:

let [tex]z_1=7-3i[/tex] and

[tex]z_2=12+i[/tex]

then;

[tex]z_1+z_2 = (7-3i)+(12+i) = (7+12)+i(-3+1) = 19+i(-2)=19-2i[/tex]

Therefore, the two complex numbers when added together and written in the standard form will give you [tex]19-2i[/tex] are:

[tex]7-3i[/tex] and [tex]12 + i[/tex]