Answer:
Step-by-step explanation:
The given algebraic fraction is;
We factor using difference of two squares.
Cancel out the common factors;
Simplify;
1. 18
2. 33
3. 28
explain: division first so 6x3
multiply first so 12+21
multiply both then add so 12+16
Answer:
sin C=20/25=4/5
cos C=15/25=3/5
tan C=20/15=4/3
Step-by-step explanation:
sine is opposite/hypotenuse
cosine is adjacent/hypotenuse
tangent is opposite/adjacent
Ok, 8^(-5) divided by 8^(-3) would be 8^(-5-(-3)), because when you divide numbers with the same base, you subtract the exponents. That would be 8^(-2), which I suppose is A
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.
