Simplify $\frac { 4 + 3 i } { 5 + 6 i }$

question 105

Multiple Choice

Simplify $\frac { 4 + 3 i } { 5 + 6 i }$ and write the answer in standard form.

• A) \(- \frac { 38 } { 61 } - \frac { 9 } { 61 } i\)
• B) \(\frac { 38 } { 61 } + \frac { 9 } { 61 } i\)
• C) \(\frac { 38 } { 61 } - \frac { 9 } { 61 } i\)
• D) \(- \frac { 9 } { 61 } + \frac { 38 } { 61 } i\)
• E) \(- \frac { 9 } { 61 } - \frac { 38 } { 61 } i\)

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Definitions:

Antecedent

An event or environment condition that precedes and triggers a behavior or response.

Ellis's ABC

A cognitive-behavioral therapy model developed by Albert Ellis, focusing on the relationship between beliefs (B), consequences (C), and activating events (A).

Activating Events

Situations or experiences that trigger a psychological response, often discussed in cognitive-behavioral therapy to address emotional reactions.

Unresolved Conflicts

Psychological term referring to internal or external disputes that an individual fails to find a resolution for, often leading to stress or psychological discomfort.