Use a complete sentence to describe how axioms about addition in particular could be helpful in developing theorems about multiplication.

Answers

Answer 1

Answer:

Additions serve and help to prove multiplications being correct.

An axiom is understood to be an irrefutable truth, which applies in any field of science, such as mathematics.

Within the exact sciences, then, multiplication is a mathematical operation that reproduces a number by the number of times that the multiplier indicates: it is, in short, a sum of the same number by the number of times arranged by the multiplier.

Thus, the addition allows to verify that the result of the multiplication is correct.

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Answer 2

Answer: The correct answer to this question is that "axioms is an operation to extend and prove multiplication." In particular, axioms by definition are statements or proposition that is regarded as being established, accepted, or self-evidently true. In other words, they are true in itself. You can use properties like distributive, commutative, associative, etc.

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Solve the equation, first for x and then for y.

Answers

Answer:

x = 77 - 2y

y = -x/2 + 77/2

Step-by-step explanation:

2x + 4y - 31 = 123

add 31 both sides

2x + 4y - 31 + 31 = 123 + 31

2x +4y = 154

Solve for x

2x = 154 - 4y

divide both sides by 2

x = 77 - 2y

solve for y

2y = 77 - x

divide both sides by 2

y = 77/2 - x/2

Which pairs of angles are alternate exterior angles? Choose all answers that are correct.

Answers

A and D are the correct answers. They are on opposite sides of the transversal and are on the outside of the parallel lines.

it would be A and H , B and G
this is because they are completely opposite each other as you can see in the diagram.

Domain definition in math

Answers

All the values that go into a function.

The output values are called the range.

Domain → Function → Range

Example: when the function f(x) = x2 is given the values x = {1,2,3,...} then the domain is simply those values {1,2,3,...}

Find the distance between the two points in the simplest radical form (9,-8) and (3,0)