z=-12 i+11 What are the real and imaginary parts of z ? Choose 1 answer: (A) {:[Re(z)=11" and "],[Im(z)=-12]:} (B) {:[Re(z)=11" and "],[Im(z)=-12 i]:} (c) {:[Re(z)=-12 i" and "],[Im(z)=11]:} (D) {:[Re(z)=-12" and "],[Im(z)=11]:}

Identifying the Complex Number: The complex number is given as z = -12i + 11. To find the real and imaginary parts of z, we need to identify the terms without the imaginary unit i as the real part, and the terms with the imaginary unit i as the imaginary part.Finding the Real Part: The real part of the complex number z is the term without the imaginary unit i, which is 11. Therefore, Re(z) = 11.Finding the Imaginary Part: The imaginary part of the complex number z is the term with the imaginary unit i, which is -12i. However, when we refer to the imaginary part, we only take the coefficient of i, which is -12. Therefore, Im(z) = -12.Matching with Given Choices: Now we can match our findings with the given choices. The correct choice should have Re(z) = 11 and Im(z) = -12.Correct Choice: Looking at the choices, we see that option (A) matches our findings: Re(z) = 11 and Im(z) = -12.

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z=-12 i+11
What are the real and imaginary parts of
z ?
Choose 1 answer:
(A)

{:[Re(z)=11" and "],[Im(z)=-12]:}
(B)

{:[Re(z)=11" and "],[Im(z)=-12 i]:}
(c)

{:[Re(z)=-12 i" and "],[Im(z)=11]:}
(D)

{:[Re(z)=-12" and "],[Im(z)=11]:}

$z=-12 i+11$ $\newline$ What are the real and imaginary parts of $z$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\newline$ $\begin{array}{l} \operatorname{Re}(z)=11 \text { and } \\ \operatorname{Im}(z)=-12 \end{array}$ $\newline$ (B) $\newline$ $\begin{array}{l} \operatorname{Re}(z)=11 \text { and } \\ \operatorname{Im}(z)=-12 i \end{array}$ $\newline$ (C) $\newline$ $\begin{array}{l} \operatorname{Re}(z)=-12 i \text { and } \\ \operatorname{Im}(z)=11 \end{array}$ $\newline$ (D) $\newline$ $\begin{array}{l} \operatorname{Re}(z)=-12 \text { and } \\ \operatorname{Im}(z)=11 \end{array}$

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z=-12 i+11

\newline

What are the real and imaginary parts of

z

\newline

Choose

1

answer:

\newline

(A)

\newline

\begin{array}{l} \operatorname{Re}(z)=11 \text { and } \\ \operatorname{Im}(z)=-12 \end{array}

\newline

(B)

\newline

\begin{array}{l} \operatorname{Re}(z)=11 \text { and } \\ \operatorname{Im}(z)=-12 i \end{array}

\newline

(C)

\newline

\begin{array}{l} \operatorname{Re}(z)=-12 i \text { and } \\ \operatorname{Im}(z)=11 \end{array}

\newline

(D)

\newline

\begin{array}{l} \operatorname{Re}(z)=-12 \text { and } \\ \operatorname{Im}(z)=11 \end{array}

Identifying the Complex Number: The complex number is given as $z = -12i + 11$ . To find the real and imaginary parts of $z$ , we need to identify the terms without the imaginary unit $i$ as the real part, and the terms with the imaginary unit $i$ as the imaginary part.
Finding the Real Part: The real part of the complex number $z$ is the term without the imaginary unit $i$ , which is $11$ . Therefore, $\text{Re}(z) = 11$ .
Finding the Imaginary Part: The imaginary part of the complex number $z$ is the term with the imaginary unit $i$ , which is $-12i$ . However, when we refer to the imaginary part, we only take the coefficient of $i$ , which is $-12$ . Therefore, $\text{Im}(z) = -12$ .
Matching with Given Choices: Now we can match our findings with the given choices. The correct choice should have $\text{Re}(z) = 11$ and $\text{Im}(z) = -12$ .
Correct Choice: Looking at the choices, we see that option (A) matches our findings: $\text{Re}(z) = 11$ and $\text{Im}(z) = -12$ .