#### Answer

$\frac{8}{15}-\frac{4}{15}i$

#### Work Step by Step

$\frac{4i}{-3+6i}=\frac{(4i)(-3-6i)}{(-3+6i)(-3-6i)}=\frac{-12i+24}{9+36}=\frac{-12i+24}{45}=\frac{-4i+8}{15}=\frac{8}{15}-\frac{4}{15}i$

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Published by
McDougal Littell

ISBN 10:
0618595414

ISBN 13:
978-0-61859-541-9

$\frac{8}{15}-\frac{4}{15}i$

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