Answer:
[tex] \sqrt{97} [/tex]
Step-by-step explanation:
[tex] |a + bi| = \sqrt{a^2 + b^2} [/tex]
[tex] |-4 - 9i| = \sqrt{(-4)^2 + (-9)^2} [/tex]
[tex] |-4 - 9i| = \sqrt{16 + 81} [/tex]
[tex] |-4 - 9i| = \sqrt{97} [/tex]
= 5
i = [tex]\sqrt{-1}[/tex]
-4 - 9*[tex]\sqrt{-1}[/tex]
-4 + 9 * [tex]\sqrt{1}[/tex]
-4 + 9 * 1
-4 + 9
