Divide and Express the Result in Standard Form $\frac { 6 - 5 i } { 6 + 3 i }$

question 288

Multiple Choice

Divide and express the result in standard form.
- $\frac { 6 - 5 i } { 6 + 3 i }$

• A) \(\frac { 17 } { 9 } - \frac { 16 } { 27 } \mathrm { i }\)
• B) \(\frac { 7 } { 15 } - \frac { 16 } { 15 } \mathrm { i }\)
• C) \(\frac { 7 } { 27 } - \frac { 16 } { 27 } \mathrm { i }\)
• D) \(\frac { 17 } { 5 } + \frac { 4 } { 5 } \mathrm { i }\)

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Definitions:

Sella Turcica

A saddle-shaped depression in the sphenoid bone at the base of the human skull, housing the pituitary gland.

Neurohypophysis

The posterior part of the pituitary gland responsible for the storage and release of hormones like vasopressin and oxytocin, produced in the hypothalamus.

Secretory Activity

The process of producing and releasing substances such as enzymes or hormones from a cell or gland.

Hypothalamohypophysial Portal

The blood vessel system connecting the hypothalamus and the pituitary gland, allowing for the transport of regulating hormones.