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 =
![√((3+2)^2+(9+3)^2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/txn1y90wq0yzq9bh5mkajfwy3g1jxlw7ve.png)
=
![√(5^2+12^2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/arh90dlbvmv5go6m1gs184jnnvlys5m30t.png)
=
![√(25+144)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/fqbr4jrd6b3gi4ri4vzwuklc9r9q50f5ra.png)
=
![√(169)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/99a1l1wwsjom18ns85jttndg591ziay5fi.png)
= 13