Question

I need the answer to number 2 please answer it like the paper so that I can understand it better. Please

Answer 1

Elijah made an error of subtracting the numbers and not including the imaginary sign (letter i)

The correct midpoint is (6, 3i)

Step-by-step explanation:

The two points are 8 + 4i and 4 + 2i

Elijah got the midpoint as (2, 1).

To determine Elijah's error, let's calculate the midpoint of a complex number:

`\text{Midpoint = (}\frac{a\text{ + b}}{2}),\text{ (}\frac{c\text{ + d}}{2})i`

let 8 + 4i = a + ci

let 4 + 2i = b + di

The real numbers will be added together. The imaginary numbers will also be added together.

substituting the values in the formula:

`\begin{gathered} \text{Midpoint = (}\frac{8\text{ + 4}}{2}),\text{ (}\frac{4\text{ + 2}}{2})i \\ \text{Midpoint = }(12)/(2),\text{ }(6)/(2)i \\ \\ \text{Midpoint = (6, 3i)} \end{gathered}`

Elijah made an error of subtracting the numbers. Also Elijah didn't include the letter representing the imaginary numbers (i).

The correct midpoint is (6, 3i)