Answer:
See Explanation
Step-by-step explanation:
(a) Proof: Product of two rational numbers
Using direct proofs.
Let the two rational numbers be A and B.
Such that:


The product:




Proved, because 1/3 is rational
(b) Proof: Quotient of a rational number and a non-zero rational number
Using direct proofs.
Let the two rational numbers be A and B.
Such that:


The quotient:

Express as product



Proved, because 3/4 is rational
(c) x + y is rational (missing from the question)
Using direct proofs.
Let x and y be
Such that:


The sum:

Take LCM


Proved, because 7/6 is rational
<em>The above proof works for all values of A, B, x and y; as long as they are rational values</em>
Answer:
The answer is A
Step-by-step explanation:
Starting from -3 in the Y values of option A. If you subtract three from each value, you will get the next value to the right.
- -3 minus -3 = -6
- -6 minus -6 = -9
Answer:
c² = 3² +6² - 2⋅3⋅6⋅cos 60
c = 27ft
Step-by-step explanation:
Since the angle is located in between the sides of the sides, we will use the cosine rule to get the unknown sides
Let c be the missing sides
According to the cosine rule;
c² = a²+ b² - 2abcosC
c² = 3² +6² - 2⋅3⋅6⋅cos 60
c² = 9 + 36 - 36cos60
c² = 45 - 36cos60
c² = 45 - 36(0.5)
c² = 45 - 18
c² = 27ft
Hence the missing attribute is 27ft and the required expression is c² = 3² +6² - 2⋅3⋅6⋅cos 60
Answer:
the answer is 50 dollars
Step-by-step explanation:
because your interest is only 50% so whats 100 divided into 2 its 50