Answer:
D. [tex]\frac{-19}{74} +\frac{71}{74} i[/tex]
Step-by-step explanation:
[tex]\frac{-8+3i}{5+7i} (\frac{5-7i}{5-7i} )[/tex]
[tex]\frac{-40+56i+15i-21i^2}{25-35i+35i-49i^2}[/tex]
[tex]\frac{-40+71i-21(-1)}{25-49(-1)}[/tex]
[tex]\frac{-40+21+71i}{25+49}[/tex]
[tex]\frac{-19+71i}{74}[/tex]
[tex]\frac{-19}{74} +\frac{71}{74} i[/tex]
I hope this helps and God bless!
