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3 years ago

What is the answer of these questions

Mathematics

1 answer:

hjlf3 years ago

5 0

Answer:

What are you talking about,you need to be more specific

Step-by-step explanation:

So you need to tell us what you are talking about ok

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Exercise 2.4.2: Proving statements about rational numbers with direct proofs. About Prove each of the following statements using

IgorLugansk [536]

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:

$A = \frac{1}{2}$

$B = \frac{2}{3}$

The product:

$A * B = \frac{1}{2} * \frac{2}{3}$

$A * B = \frac{1}{1} * \frac{1}{3}$

$A * B = 1 * \frac{1}{3}$

$A * B = \frac{1}{3}$

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:

$A = \frac{1}{2}$

$B = \frac{2}{3}$

The quotient:

$A / B = \frac{1}{2} / \frac{2}{3}$

Express as product

$A / B = \frac{1}{2} / \frac{3}{2}$

$A / B = \frac{1*3}{2*2}$

$A / B = \frac{3}{4}$

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:

$x = \frac{1}{2}$

$y = \frac{2}{3}$

The sum:

$x + y = \frac{1}{2} + \frac{2}{3}$

Take LCM

$x + y = \frac{3+4}{6}$

$x + y = \frac{7}{6}$

Proved, because 7/6 is rational

The above proof works for all values of A, B, x and y; as long as they are rational values

8 0

3 years ago

What is the elapsed time between 8:00 a.m and noon ?

nikitadnepr [17]

4 hours because noon is 12. 8-12 is 4

7 0

2 years ago

Read 2 more answers

Find the product of (√3-5) and (√3+2)

beks73 [17]

Step-by-step explanation:

check it.. i have solved it for you.

3 0

2 years ago

I will give brainly to the person who answers first what is 1/2 divided by 6

ivolga24 [154]

The answer is 0.08333333333

7 0

2 years ago

Read 2 more answers

Problem 1.1 Solve this equation: 2(x + 5) = 3x + 1

Tamiku [17]

Answer:

x = 9

Step-by-step explanation:

Distribute

2x+2*5=3x+1

2x+10=3x+1

Subtract 3x from both sides

-x+10=1

Subtract 10 from both sides

-x=-9

Multiply both sides by -1

x=9

7 0

3 years ago

Read 2 more answers