Perform the Indicated Operation $\frac { 4 } { 4 + i }$

question 96

Multiple Choice

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

• A) \(\frac { 16 } { 15 } - \frac { 4 } { 15 } \mathrm { i }\)
• B) \(\frac { 16 } { 15 } + \frac { 4 } { 15 } \mathrm { i }\)
• C) \(\frac { 16 } { 17 } - \frac { 4 } { 17 } \mathrm { i }\)
• D) \(\frac { 16 } { 17 } + \frac { 4 } { 17 } \mathrm { i }\)

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Definitions:

Middle Ear

The air-filled central section of the ear, located behind the eardrum, which contains the ossicles that transmit sound vibrations to the inner ear.

Labyrinth/o

A prefix in medical terminology referring to the labyrinth of the inner ear, involved in hearing and balance.

Cochlea

A spiral-shaped cavity in the inner ear containing the organ of Corti, which produces nerve impulses in response to sound vibrations.

Endo-

A prefix meaning within or inside, often used in medical and scientific terms.