[tex] \huge \boxed{\mathfrak{Answer} \downarrow}[/tex]
[tex] \large \bf\frac { 5 - 3 i } { - 2 - 9 } \\ [/tex]
Subtract 9 from -2 to get -11.
[tex] \large \bf \: Re(\frac{5-3i}{-11}) \\ [/tex]
Divide 5-3i by -11 to get [tex]\sf-\frac{5}{11}+\frac{3}{11}i \\ [/tex].
[tex] \large \bf \: Re(-\frac{5}{11}+\frac{3}{11}i) \\ [/tex]
The real part of [tex]\sf-\frac{5}{11}+\frac{3}{11}i \\ [/tex]is [tex]\sf-\frac{5}{11} \\ [/tex].
[tex] \large \boxed{\bf-\frac{5}{11} \approx -0.4545..} \\ [/tex]
Answer:
[tex] \frac{5 - 3i}{ - 2 - 9} \\ = \frac{ 5 - 3i}{ - 11} \\ = \frac{5}{ - 11} + \frac{3i}{11} \\ thank \: you[/tex]