Find Real Numbers $a$ And $b$ Such That the Equation $a + b i = - 10 + 10 i$

question 25

Multiple Choice

Find real numbers $a$ and $b$ such that the equation $a + b i = - 10 + 10 i$ is true.

• A) \(a = 10 , b = - 10\)
• B) \(\quad a = - 10 , b = - 10\)
• C) \(\quad a = 10 , b = 10\)
• D) \(a = - 10 , b = 10\)
• E) \(\quad a = - 20 , b = 0\)

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Definitions:

Deposition

The geological process in which sediments, soil, and rocks are added to a landform or landmass due to the action of wind, water, or ice.

Metamorphic Rocks

Rocks that have been transformed from pre-existing rock types through heat, pressure, and/or chemically active fluids.

Granite

A hard, granular, intrusive igneous rock composed mainly of quartz, mica, and feldspar.

Isotopes

Variants of chemical elements that have the same number of protons but different numbers of neutrons in their nuclei, affecting their atomic mass but not their chemical properties.