Question

What is the midpoint between -2-3i and 3+9i

Answer 1

Answer:

1/2 + 3i is the midpoint between -2-3i and 3+9i.

Step-by-step explanation:

Given the complex number

• -2-3i

• 3+9i

The formula to find the midpoint of two complex number (a + bi) and (c + di) is:

$M=\frac{\left(a+c\right)}{2}+\frac{\left(b+d\right)i}{2}$

$M=\frac{\left(-2+3\right)}{2}+\frac{\left(-3+\left(9\right)\right)i}{2}$

$M=\frac{-2+3+\left(-3+9\right)i}{2}$

$M=\frac{1+6i}{2}$

$M=\frac{1}{2}+3i$

Therefore, 1/2 + 3i is the midpoint between -2-3i and 3+9i.