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.
Answer:
4xy+24y^2−7x−38y−7
Step-by-step explanation:
(-7+4y) (6y+x+1)
-7*6y= -42y
-7*x= -7x
-7*1= -7
4y*6y= 24y²
4y*x= 4yx
4x*1= 4y
Add them up
Answer:
x - 3
Step-by-step explanation:
We know that the area of a square is length times width.
We also know that a quadratic can be factored:
(x - 3)²
So if each side is (x - 3), then when we do length times width, we get x² - 6x + 9. So our answer is choice D.
I think 1 is A , I think!
Answer:
23.04 miles
Step-by-step explanation:
