Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

z=2412.7iz = -24 - 12.7 i\newlineWhat are the real and imaginary parts of \z?\newlineChoose 11 answer:\newline(A) Re(z)=24\text{Re}(z) = -24 and Im(z)=12.7\text{Im}(z) = -12.7\newline(B) Re(z)=24\text{Re}(z) = -24 and Im(z)=12.7i\text{Im}(z) = -12.7 i\newline(C) Re(z)=12.7\text{Re}(z) = -12.7 and Im(z)=24\text{Im}(z) = -24\newline(D) Re(z)=12.7i\text{Re}(z) = -12.7 i and Im(z)=24\text{Im}(z) = -24

Full solution

Q. z=2412.7iz = -24 - 12.7 i\newlineWhat are the real and imaginary parts of \z?\newlineChoose 11 answer:\newline(A) Re(z)=24\text{Re}(z) = -24 and Im(z)=12.7\text{Im}(z) = -12.7\newline(B) Re(z)=24\text{Re}(z) = -24 and Im(z)=12.7i\text{Im}(z) = -12.7 i\newline(C) Re(z)=12.7\text{Re}(z) = -12.7 and Im(z)=24\text{Im}(z) = -24\newline(D) Re(z)=12.7i\text{Re}(z) = -12.7 i and Im(z)=24\text{Im}(z) = -24
  1. Identify real part: z=2412.7iz = -24 - 12.7 i\newlineIdentify the real part, which is the number without the ii.\newlineRe(z)=24\text{Re}(z) = -24
  2. Identify imaginary part: Now, identify the imaginary part, which is the number with the ii. \newlineIm(z)=12.7i\text{Im}(z) = -12.7 i\newlineBut we only need the coefficient of ii for the imaginary part.\newlineIm(z)=12.7\text{Im}(z) = -12.7