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) \(\frac { 24 } { 109 } - \frac { 80 } { 109 } \mathrm { i }\)

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Definitions:

Flat-Rate State Income Tax

A tax system where a single tax rate is applied to all income levels, making the tax amount proportionate to income without progressive scaling.

General Sales Tax

A tax applied uniformly on most goods and services purchased by consumers within a jurisdiction.

Progressive Federal Income Tax

A tax system where the tax rate increases as the taxable amount (income) increases, applied at the federal level.

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The total financial income collected by the government from various sources, including taxes, fees, and investments.