Question

question 4 of 10
add the following complex numbers:
(3 - 9i) + (6 - 2i)

a. -3 - 7i
b. -3 - 11i
c. 9 - 11i
d. 9 - 7i

Explanation:

Step1: Add real parts

To add complex numbers, we first add the real parts. The real parts are \(3\) and \(6\). So, \(3 + 6 = 9\).

Step2: Add imaginary parts

Next, we add the imaginary parts. The imaginary parts are \(-9i\) and \(-2i\). So, \(-9i+(-2i)=-11i\).

Step3: Combine real and imaginary parts

Combining the results from Step 1 and Step 2, we get the sum of the complex numbers as \(9 - 11i\).

Answer:

C. \(9 - 11i\)