Answer:
1/2 + 3i is the midpoint between -2-3i and 3+9i.
Step-by-step explanation:
Given the complex number
The formula to find the midpoint of two complex number (a + bi) and (c + di) is:
[tex]M=\frac{\left(a+c\right)}{2}+\frac{\left(b+d\right)i}{2}[/tex]
[tex]M=\frac{\left(-2+3\right)}{2}+\frac{\left(-3+\left(9\right)\right)i}{2}[/tex]
[tex]M=\frac{-2+3+\left(-3+9\right)i}{2}[/tex]
[tex]M=\frac{1+6i}{2}[/tex]
[tex]M=\frac{1}{2}+3i[/tex]
Therefore, 1/2 + 3i is the midpoint between -2-3i and 3+9i.
