Find the Quotient $$\frac { 8 + 5 i } { 6 - 9 i }$$

question 434

Multiple Choice

Find the quotient. Write the answer in standard form.
- $$\frac { 8 + 5 i } { 6 - 9 i }$$

• A) \(\frac { 1 } { 39 } + \frac { 34 } { 39 } \mathrm { i }\)
• B) \(- \frac { 31 } { 15 } + \frac { 34 } { 45 } \mathrm { i }\)
• C) \(- \frac { 1 } { 45 } + \frac { 34 } { 45 } \mathrm { i }\)
• D) \(\frac { 31 } { 13 } + \frac { 14 } { 13 } \mathrm { i }\)

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Definitions:

Antioxidants

Compounds that hinder or decelerate cell damage resulting from free radicals, which are unstable molecules generated by the body in response to environmental and various stresses.

Strength Training

A form of physical exercise specializing in the use of resistance to induce muscular contraction, which builds the strength, anaerobic endurance, and size of skeletal muscles.

Aerobic

Pertains to processes or activities that require the presence of oxygen, often related to exercise that improves cardiovascular health.

Low-Impact

Refers to activities or actions that cause minimal stress or damage to the body or environment.