Divide the Complex Numbers $$\frac { 5 } { 1 + 3 i }$$

question 151

Multiple Choice

Divide the complex numbers. Write the answer in the form a + bi. $$\frac { 5 } { 1 + 3 i }$$

• A) \(\frac { 5 } { 8 } + \frac { 15 } { 8 } i\)
• B) \(\frac { 1 } { 2 } + \frac { 3 } { 2 } i\)
• C) \(\frac { 1 } { 2 } - \frac { 3 } { 2 } i\)
• D) \(\frac { 5 } { 8 } - \frac { 15 } { 8 } i\)

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Definitions:

Percentage

A fraction or ratio represented as a part of 100.

Currency

A medium of exchange used in economic systems, typically issued by a governmental body and accepted within a particular geographic territory.

Energy Exchange

A process by which energy is transferred from one system or object to another, often seen in ecosystems as the transfer of energy from producers to consumers through food chains.

Living Systems

Complex networks of interacting organisms and their physical environment, functioning together as a coherent group for energy flow, reproduction, and adaptation.