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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+41.9i z=32+41.9 i \newlineWhat are the real and imaginary parts of z z ?\newlineChoose 11 answer:\newline(A)\newlineRe(z)=32 and Im(z)=41.9i \begin{array}{l} \operatorname{Re}(z)=32 \text { and } \\ \operatorname{Im}(z)=41.9 i \end{array} \newline(B)\newlineRe(z)=32 and Im(z)=41.9 \begin{array}{l} \operatorname{Re}(z)=32 \text { and } \\ \operatorname{Im}(z)=41.9 \end{array} \newline(C)\newlineRe(z)=41.9 and Im(z)=32 \begin{array}{l} \operatorname{Re}(z)=41.9 \text { and } \\ \operatorname{Im}(z)=32 \end{array} \newline(D)\newlineRe(z)=41.9i and Im(z)=32 \begin{array}{l} \operatorname{Re}(z)=41.9 i \text { and } \\ \operatorname{Im}(z)=32 \end{array}

Full solution

Q. z=32+41.9i z=32+41.9 i \newlineWhat are the real and imaginary parts of z z ?\newlineChoose 11 answer:\newline(A)\newlineRe(z)=32 and Im(z)=41.9i \begin{array}{l} \operatorname{Re}(z)=32 \text { and } \\ \operatorname{Im}(z)=41.9 i \end{array} \newline(B)\newlineRe(z)=32 and Im(z)=41.9 \begin{array}{l} \operatorname{Re}(z)=32 \text { and } \\ \operatorname{Im}(z)=41.9 \end{array} \newline(C)\newlineRe(z)=41.9 and Im(z)=32 \begin{array}{l} \operatorname{Re}(z)=41.9 \text { and } \\ \operatorname{Im}(z)=32 \end{array} \newline(D)\newlineRe(z)=41.9i and Im(z)=32 \begin{array}{l} \operatorname{Re}(z)=41.9 i \text { and } \\ \operatorname{Im}(z)=32 \end{array}
  1. Identifying the Complex Number: The complex number zz is given as z=32+41.9iz = 32 + 41.9i. To find the real and imaginary parts of zz, we need to identify the terms without the imaginary unit ii as the real part, and the terms with the imaginary unit ii as the imaginary part.
  2. Finding the Real Part: The real part of z is the term without the imaginary unit i, which is 3232. Therefore, Re(z)=32\text{Re}(z) = 32.
  3. Finding the Imaginary Part: The imaginary part of z is the term with the imaginary unit ii, which is 41.9i41.9i. To express the imaginary part, we only need the coefficient of ii, which is 41.941.9. Therefore, Im(z)=41.9\text{Im}(z) = 41.9.

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