Answer:
13
Explanation:
Expressing the complex numbers in coordinate form
- 2 - 3i → (- 2, - 3)
3 + 9i → (3, 9)
To calculate the distance d use the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 2, - 3) and (x₂, y₂ ) = (3, 9)
d =

=

=

=

= 13