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:
t = 17.5 f = 12
Step-by-step explanation:
If <em>MNOP </em>is a square, you know that each angle is going to be 90°. To solve, let's first set each equation equal to 90°:

and

Then solve both equations:

and

I hope that helps!
Solution:
<u>Given:</u>
<u>Solve the equation by isolating the variable.</u>
- => 18 = 2b
- => 2b/2 = 18/2
- => b = 9
The value of b is 9.
Hoped this helped!
Answer:
4√7-8
Step-by-step explanation: