Simplify by Rationalizing the Denominator $\frac { 8 i } { - 10 + 3 i }$

question 264

Multiple Choice

Simplify by rationalizing the denominator. Write your answer in a +bi form.
- $\frac { 8 i } { - 10 + 3 i }$

• A) \(- \frac { 24 } { 109 } - \frac { 80 } { 109 } \mathrm { i }\)
• B) \(\frac { 24 } { 91 } - \frac { 80 } { 91 } \mathrm { i }\)
• C) \(- \frac { 24 } { 91 } - \frac { 80 } { 91 } \mathrm { i }\)
• D) \(\frac { 24 } { 109 } - \frac { 80 } { 109 } \mathrm { i }\)

Identify factors that modify the effectiveness of persuasive messages, such as audience characteristics and reactance.

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Definitions:

Owners' Equity

The total value belonging to the owners of a company, calculated as the company's total assets minus its total liabilities, indicative of the net worth.

Net Worth

The total value of an individual's or organization's assets minus liabilities, representing the financial health or value of the entity.

Dividends

Payments made by a corporation to its shareholder members, distributing a portion of the company's earnings.

Objective of Accounting

The main purpose of accounting, which is to record financial transactions, summarize and report financial information accurately for decision making.