Answered

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

Verified Answer :

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.

\(7-3i\) and \(12 + i\)

Step-by-step explanation:

A standard complex number is in the form of \(a+ib\)

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

From the given options:

let \(z_1=7-3i\) and

\(z_2=12+i\)

then;

\(z_1+z_2 = (7-3i)+(12+i) = (7+12)+i(-3+1) = 19+i(-2)=19-2i\)

Therefore, the two complex numbers when added together and written in the standard form will give you \(19-2i\) are:

\(7-3i\) and \(12 + i\)

Related Questions