Question

z = -12i + 11
what are the real and imaginary parts of z?
choose 1 answer:
a re(z) = -12i and im(z) = 11
b re(z) = 11 and im(z) = -12i
c re(z) = 11 and im(z) = -12
d re(z) = -12 and im(z) = 11

Explanation:

Step1: Recall complex number form

A complex number \( z \) is written as \( z = a + bi \), where \( a \) is the real part (\( \text{Re}(z) \)) and \( b \) is the imaginary part (\( \text{Im}(z) \)) (the \( i \) is not included in the imaginary part).

Step2: Rewrite \( z \) in standard form

Given \( z = -12i + 11 \), we can rewrite it as \( z = 11 - 12i \).

Step3: Identify real and imaginary parts

Comparing with \( z = a + bi \), we have \( a = 11 \) (real part) and \( b = -12 \) (imaginary part).

Answer:

C. \( \text{Re}(z) = 11 \) and \( \text{Im}(z) = -12 \)