z=32+41.9 i What are the real and imaginary parts of z ? Choose 1 answer: (A) {:[Re(z)=32" and "],[Im(z)=41.9 i]:} (B) {:[Re(z)=32" and "],[Im(z)=41.9]:} (c) {:[Re(z)=41.9" and "],[Im(z)=32]:} (D) {:[Re(z)=41.9 i" and "],[Im(z)=32]:}

Identifying the Complex Number: The complex number z is given as z = 32 + 41.9i. 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 z is the term without the imaginary unit i, which is 32. Therefore, Re(z) = 32.Finding the Imaginary Part: The imaginary part of z is the term with the imaginary unit i, which is 41.9i. To express the imaginary part, we only need the coefficient of i, which is 41.9. Therefore, Im(z) = 41.9.

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z=32+41.9 i
What are the real and imaginary parts of
z ?
Choose 1 answer:
(A)

{:[Re(z)=32" and "],[Im(z)=41.9 i]:}
(B)

{:[Re(z)=32" and "],[Im(z)=41.9]:}
(c)

{:[Re(z)=41.9" and "],[Im(z)=32]:}
(D)

{:[Re(z)=41.9 i" and "],[Im(z)=32]:}

$z=32+41.9 i$ $\newline$ What are the real and imaginary parts of $z$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\newline$ $\begin{array}{l} \operatorname{Re}(z)=32 \text { and } \\ \operatorname{Im}(z)=41.9 i \end{array}$ $\newline$ (B) $\newline$ $\begin{array}{l} \operatorname{Re}(z)=32 \text { and } \\ \operatorname{Im}(z)=41.9 \end{array}$ $\newline$ (C) $\newline$ $\begin{array}{l} \operatorname{Re}(z)=41.9 \text { and } \\ \operatorname{Im}(z)=32 \end{array}$ $\newline$ (D) $\newline$ $\begin{array}{l} \operatorname{Re}(z)=41.9 i \text { and } \\ \operatorname{Im}(z)=32 \end{array}$

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Full solution

z=32+41.9 i

\newline

What are the real and imaginary parts of

z

\newline

Choose

1

answer:

\newline

(A)

\newline

\begin{array}{l} \operatorname{Re}(z)=32 \text { and } \\ \operatorname{Im}(z)=41.9 i \end{array}

\newline

(B)

\newline

\begin{array}{l} \operatorname{Re}(z)=32 \text { and } \\ \operatorname{Im}(z)=41.9 \end{array}

\newline

(C)

\newline

\begin{array}{l} \operatorname{Re}(z)=41.9 \text { and } \\ \operatorname{Im}(z)=32 \end{array}

\newline

(D)

\newline

\begin{array}{l} \operatorname{Re}(z)=41.9 i \text { and } \\ \operatorname{Im}(z)=32 \end{array}

Identifying the Complex Number: The complex number $z$ is given as $z = 32 + 41.9i$ . 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 z is the term without the imaginary unit i, which is $32$ . Therefore, $\text{Re}(z) = 32$ .
Finding the Imaginary Part: The imaginary part of z is the term with the imaginary unit $i$ , which is $41.9i$ . To express the imaginary part, we only need the coefficient of $i$ , which is $41.9$ . Therefore, $\text{Im}(z) = 41.9$ .