Divide and Express the Result in Standard Form $\frac { 7 - 8 i } { 5 - 3 i }$

question 176

Multiple Choice

Divide and express the result in standard form.
- $\frac { 7 - 8 i } { 5 - 3 i }$

• A) \(\frac { 11 } { 16 } - \frac { 19 } { 16 } \mathrm { i }\)
• B) \(\frac { 11 } { 34 } + \frac { 61 } { 34 } \mathrm { i }\)
• C) \(\frac { 59 } { 34 } - \frac { 19 } { 34 } \mathrm { i }\)
• D) \(\frac { 59 } { 16 } - \frac { 19 } { 16 } \mathrm { i }\)

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Definitions:

Primitive Type

A basic data type provided by a programming language as a building block. It is not composed of other data types.

Vector

A class in Java that implements a dynamic array. Unlike ArrayList, it is synchronized, making it thread-safe but slightly slower in single-threaded environments.

Size

The dimension or amount of space occupied by an object, or in computing, the amount of data or memory capacity.

Capacity

In the context of data structures, capacity refers to the total amount of elements a structure can hold before needing to allocate more space.