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z=-19+3.14 i
What are the real and imaginary parts of 
z ?
Choose 1 answer:
(A)

{:[Re(z)=-19" and "],[Im(z)=3.14]:}
(B)

{:[Re(z)=3.14 i" and "],[Im(z)=-19]:}
(c)

{:[Re(z)=-19" and "],[Im(z)=3.14 i]:}
(D)

{:[Re(z)=3.14" and "],[Im(z)=-19]:}

z=19+3.14i z=-19+3.14 i \newlineWhat are the real and imaginary parts of z z ?\newlineChoose 11 answer:\newline(A)\newlineRe(z)=19 and Im(z)=3.14 \begin{array}{l} \operatorname{Re}(z)=-19 \text { and } \\ \operatorname{Im}(z)=3.14 \end{array} \newline(B)\newlineRe(z)=3.14i and Im(z)=19 \begin{array}{l} \operatorname{Re}(z)=3.14 i \text { and } \\ \operatorname{Im}(z)=-19 \end{array} \newline(c)\newlineRe(z)=19 and Im(z)=3.14i \begin{array}{l} \operatorname{Re}(z)=-19 \text { and } \\ \operatorname{Im}(z)=3.14 i \end{array} \newline(D)\newlineRe(z)=3.14 and Im(z)=19 \begin{array}{l} \operatorname{Re}(z)=3.14 \text { and } \\ \operatorname{Im}(z)=-19 \end{array}

Full solution

Q. z=19+3.14i z=-19+3.14 i \newlineWhat are the real and imaginary parts of z z ?\newlineChoose 11 answer:\newline(A)\newlineRe(z)=19 and Im(z)=3.14 \begin{array}{l} \operatorname{Re}(z)=-19 \text { and } \\ \operatorname{Im}(z)=3.14 \end{array} \newline(B)\newlineRe(z)=3.14i and Im(z)=19 \begin{array}{l} \operatorname{Re}(z)=3.14 i \text { and } \\ \operatorname{Im}(z)=-19 \end{array} \newline(c)\newlineRe(z)=19 and Im(z)=3.14i \begin{array}{l} \operatorname{Re}(z)=-19 \text { and } \\ \operatorname{Im}(z)=3.14 i \end{array} \newline(D)\newlineRe(z)=3.14 and Im(z)=19 \begin{array}{l} \operatorname{Re}(z)=3.14 \text { and } \\ \operatorname{Im}(z)=-19 \end{array}
  1. Complex number definition: We have the complex number z=19+3.14i z = -19 + 3.14i . The real part of a complex number is the part without the imaginary unit i i , and the imaginary part is the coefficient of i i .
  2. Identifying the real part: Identify the real part of zz.\newlineThe real part is 19-19.
  3. Identifying the imaginary part: Identify the imaginary part of zz.\newlineThe imaginary part is the coefficient of ii, which is 3.143.14.
  4. Matching parts to answer choices: Match the real and imaginary parts to the correct answer choice.\newlineThe real part is Re(z)=19\text{Re}(z) = -19 and the imaginary part is Im(z)=3.14\text{Im}(z) = 3.14.

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