1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Pani-rosa [81]
3 years ago
14

Which axiom is used to prove that the product of two rational numbers is rational

Mathematics
1 answer:
aliina [53]3 years ago
5 0

Answer:

First, a rational number is defined as the quotient between two integer numbers, such that:

N = a/b

where a and b are integers.

Now, the axiom that we need to use is:

"The integers are closed under the multiplication".

this says that if we have two integers, x and y, their product is also an integer:

if x, y ∈ Z ⇒ x*y ∈ Z

So, if now we have two rational numbers:

a/b and c/d

where a, b, c, and d ∈ Z

then the product of those two can be written as:

(a/b)*(c/d) = (a*c)/(b*d)

And by the previous axiom, we know that a*c is an integer and b*d is also an integer, then:

(a*c)/(b*d)

is the quotient between two integers, then this is a rational number.

You might be interested in
Which expression represents the phrase 12 more than a number times 16
Mars2501 [29]
12+16x is the expression
8 0
3 years ago
Read 2 more answers
Find the side length of the equilateral triangle whose area is the square root of 3 cm2
Alla [95]

Here, Given

Area of Equilateral triangle = 3cm2

therefore, we know;

Area of Equilateral triangle =( \sqrt{3}÷4)×a^{2}

so,

3 =( \sqrt{3}÷4)×a^{2}

3÷( \sqrt{3}÷4) = a^{2}

2.63 cm = a .

The area of ​​an equilateral triangle is the area covered by an equilateral triangle on a two-dimensional plane. An equilateral triangle is a triangle with all sides equal and all angles at 60 degrees. The area of ​​the shape is the number of unit squares that fit inside.

Here, "unit" refers to 1, and a unit square is a square with one side. Alternatively, the area of ​​an equilateral triangle is the total amount of space it surrounds in a two-dimensional plane.

Learn more about Area of  triangle  here: brainly.com/question/17335144

#SPJ4

6 0
2 years ago
What is the slope of the line shown in the graph? -1 -2 -1/2 2
MissTica

Answer:

The slope would would be -2

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A line segment has an endpoint at (5,2) and has a negative slope. Which of the following points could be the other endpoint?
slavikrds [6]
<span>C. (4,3)

Draw and plot on a graph and (4,3) could be the other end point, which
x < 5
y > 2</span>
6 0
3 years ago
Which of the following is a trinomial with a constant term?
Cloud [144]

Option D x+2y+10 .

A trinomial with a constant term will have three terms, and one of those terms will be a constant, which is a number.

we also know about the Constant

A fixed value. In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number.

Some relatable terms are :

Monomial: Polynomial having a single term.

Binomial: Polynomial having two terms.

Trinomial: Polynomial having three terms.

In given option we'll define

in option A there is no constant .

option B there i sonly given x which is also not constant.

further in option c it is simply binomial in which only two terms are given without constant .

so at last conclusion is in option D there are three terms are given with one constant which is number 10 .

x+2y+10 is trinomial with a constant.

For more information about Polynomial

visit  brainly.in/question/3793499

#SPJ9

8 0
2 years ago
Other questions:
  • If you can buy one fruit basket for $30 then how many can you buy with $60?
    11·2 answers
  • A 45-inch string is cut into 2 pieces. If the ratio of the longer piece to the shorter piece is 3:2, what is the length of the s
    10·1 answer
  • PLEASE HELP!!!
    7·2 answers
  • A small hair salon in Denver, Colorado, averages about 82 customers on weekdays with a standard deviation of 16. It is safe to a
    7·1 answer
  • Trigonometry help please
    11·1 answer
  • The perimeter and the area of a rectangle have the same numerical value.
    8·1 answer
  • .875 as a mixed number
    13·1 answer
  • Larry is using an online calculator to calculate the outputs f(n) for different inputs n. The ordered pairs below show Larry's i
    6·1 answer
  • NEED HELP NOW WILL GIVE BRAINLEIST!!!!!!b) Calculate the area of the red triangle to find the area of the garden. Show your work
    6·2 answers
  • Mr. Romero buys 3 chairs at a cost of $27.90 for each chait. Estimate the
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!