The Complex nth Roots Theorem with any nonzero complex number has exactly n ∈ N distinct nth roots.
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What is a non-zero complex number?</h3>
This is the quantity which does not equal zero is said to be nonzero. A real nonzero number must be either positive or negative, and a complex nonzero number can have either real or imaginary part nonzero.
The roots lie on a circle of radius centered at the origin and spaced out evenly by angles of 2π/n.
Learn more about the <em>nth root</em> here:
brainly.com/question/1581238
Surface runoff happens when, usually a liquid, flows from a high point to a low point because of a driving force in pressure difference as evident in the difference in elevation. In other words, liquid will runoff from the mountains to the plains. Since a low, flat plain has no difference in elevation, it will not cause the fluid to flow. Thus, it is impossible for surface runoff to happen within a low, flat plain.
Answer:
The first modern heavyweight-boxing champion was John L. Sullivan, whose career spanned the sports two eras. Sullivan was born in 1858 into an Irish immigrant family in Roxbury, Massachusetts.
Explanation:
The true statements after evaluating the expression based on principle of commutativity and associativity are :
A: x + y = y + x
B; (x × y) × z = x × (y × z)
D: (x + y) + z = x + (y + z)
We are given;
x = a + bi
y = c + di
z = f + gi
Now according to properties of algebra, we know that;
- Commutative property states that with addition and multiplication of numbers, you can change the order of the numbers in the problem and it will not affect the answer. For example; a + b = b + a
- The Associative property states that; a × ( b × c) = b × (a × c) = c × (b × a)
Looking at the options :
A) x + y = y + x ; This is true as it follows Commutative property of addition
B) (x × y) × z = x × (y × z) ; This is true as it follows the Associative property.
C) x - y = y - x ; this is false as it does not follow both properties.
D) (x + y) + z = x + (y + z) ; This is true as it follows the Commutative property.
E) (x – y) – z = x – (y – z) ; This is False as it does not follow any of the 2 properties.
Read more on Associative and commutative properties at; brainly.com/question/549862
