Perform the Indicated Operation $\frac { 7 - 3 i } { 4 + 8 i }$

question 6

Multiple Choice

Perform the indicated operation. Write the result in the form a + bi.
- $\frac { 7 - 3 i } { 4 + 8 i }$

• A) \(\frac { 1 } { 20 } - \frac { 17 } { 20 } \mathrm { i }\)
• B) \(\frac { 13 } { 5 } - \frac { 11 } { 5 } \mathrm { i }\)
• C) \(- \frac { 1 } { 48 } + \frac { 17 } { 48 } \mathrm { i }\)
• D) \(- \frac { 13 } { 12 } + \frac { 17 } { 48 } \mathrm { i }\)

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Definitions:

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Inductive Reasoning

A reasoning method where several assumptions, considered or proven to be true frequently, are merged to reach a particular conclusion.

Deductive Reasoning

A logical process where conclusion is based on the concordance of multiple premises that are generally assumed to be true.

Abductive Reasoning

A form of logical inference that begins with an observation or set of observations then seeks to find the simplest and most likely explanation.