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z=77-27.8 i
What are the real and imaginary parts of 
z ?
Choose 1 answer:
(A)

{:[Re(z)=77" and "],[Im(z)=-27.8]:}
(B)

{:[Re(z)=-27.8 i" and "],[Im(z)=77]:}
(c)

{:[Re(z)=-27.8" and "],[Im(z)=77]:}
(D)

{:[Re(z)=77" and "],[Im(z)=-27.8 i]:}

z=7727.8i z=77-27.8 i \newlineWhat are the real and imaginary parts of z z ?\newlineChoose 11 answer:\newline(A)\newlineRe(z)=77 and Im(z)=27.8 \begin{array}{l} \operatorname{Re}(z)=77 \text { and } \\ \operatorname{Im}(z)=-27.8 \end{array} \newline(B)\newlineRe(z)=27.8i and Im(z)=77 \begin{array}{l} \operatorname{Re}(z)=-27.8 i \text { and } \\ \operatorname{Im}(z)=77 \end{array} \newline(C)\newlineRe(z)=27.8 and Im(z)=77 \begin{array}{l} \operatorname{Re}(z)=-27.8 \text { and } \\ \operatorname{Im}(z)=77 \end{array} \newline(D)\newlineRe(z)=77 and Im(z)=27.8i \begin{array}{l} \operatorname{Re}(z)=77 \text { and } \\ \operatorname{Im}(z)=-27.8 i \end{array}

Full solution

Q. z=7727.8i z=77-27.8 i \newlineWhat are the real and imaginary parts of z z ?\newlineChoose 11 answer:\newline(A)\newlineRe(z)=77 and Im(z)=27.8 \begin{array}{l} \operatorname{Re}(z)=77 \text { and } \\ \operatorname{Im}(z)=-27.8 \end{array} \newline(B)\newlineRe(z)=27.8i and Im(z)=77 \begin{array}{l} \operatorname{Re}(z)=-27.8 i \text { and } \\ \operatorname{Im}(z)=77 \end{array} \newline(C)\newlineRe(z)=27.8 and Im(z)=77 \begin{array}{l} \operatorname{Re}(z)=-27.8 \text { and } \\ \operatorname{Im}(z)=77 \end{array} \newline(D)\newlineRe(z)=77 and Im(z)=27.8i \begin{array}{l} \operatorname{Re}(z)=77 \text { and } \\ \operatorname{Im}(z)=-27.8 i \end{array}
  1. Identify real part: Identify the real part of the complex number.\newlineThe real part of a complex number is the part without the imaginary unit ii. In the complex number z=7727.8iz = 77 - 27.8i, the real part is 7777.
  2. Identify imaginary part: Identify the imaginary part of the complex number.\newlineThe imaginary part of a complex number is the coefficient of the imaginary unit ii. In the complex number z=7727.8iz = 77 - 27.8i, the imaginary part is 27.8-27.8 (without the ii).
  3. Match parts to answer choice: Match the real and imaginary parts to the correct answer choice.\newlineThe real part is 7777, and the imaginary part is 27.8-27.8. Therefore, the correct answer choice is the one that correctly states Re(z)=77\text{Re}(z) = 77 and Im(z)=27.8\text{Im}(z) = -27.8.

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