Why have all the rates of change in this assignment been negative? Explain.Why have all the rates of change in this assignment been negative? Explain.

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Ответ:

ethanmatthews2336

30.06.2020

Mathematics

$z_m=-\frac{1}{2}-\frac{1}{2}i$

Step-by-step explanation:

The given complex numbers are;

z_1=-8+3i

and

z_2=7-4i .

The midpoint of any two complex numbers,

z_1=a_1+a_1i and z_2=a_2+a_2i is

is given by,

$z_m=\frac{a_1+a_2}{2}+\frac{a_1+a_2}{2}i$ .

The midpoint of the complex numbers can be found by adding the corresponding real parts and imaginary parts and then dividing each by 2.

This is the same as;

$z_m=\frac{z_1+z_2}{2}$

$\Rightarrow z_m=\frac{-8+3i+7-4i}{2}$

$\Rightarrow z_m=\frac{-8+7+3i-4i}{2}$

$\Rightarrow z_m=\frac{-1-i}{2}$

$\Rightarrow z_m=-\frac{1}{2}-\frac{i}{2}$

$\Rightarrow z_m=-\frac{1}{2}-\frac{1}{2}i$

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