2 years ago

Prove that for a,b,c E ℤ, if a ❘ ( ab + c ), then a I c.

Mathematics

1 answer:

zhenek [66]2 years ago

3 0

Answer:

True.

Step-by-step explanation:

Let a,b,c integers and a | (ab+c), that is to say that there exist a integer k such that ab+c = ka. Then:

ab+c = ka

c = ka-ab

c = a(k-b). So, c is a multiple of a, that is a | c.

You might be interested in

Plsss help will give a good amount of points, need done asap

Alex

4+2i because you can’t have a negative square root

7 0

3 years ago

Read 2 more answers

Given the equation y = 2x - 8, what is the slope and the y-intercept?

aniked [119]

The answer to this is the second choice

4 0

3 years ago

Read 2 more answers

What is the measure of the radius of the cone in the diagram below? A cone has a height of 6 centimeters and diameter of 8 centi

konstantin123 [22]

Answer : 4 cm

Step-by-step explanation:

Hi, the radius of a cone is the radius of its circular base.

Since we know the diameter value (8 centimeters) we have ot apply the next formula:

Diameter = radius x 2

Replacing with the values given

8 = 2r

Solving for r:

8/2=r

4=r

So, the radius of the cone is 4 centimeters.

Feel free to ask for more if needed or if you did not understand something.

6 0

3 years ago

Read 2 more answers

Macy is making a border out of strips of wall boarder placed end to end along the 12-foot wall in her room. Each strip is foot l

slavikrds [6]

3 for each wall so the totally is 12

4 0

3 years ago

Calculate the sales tax:<br> 10% of 25.75

ivanzaharov [21]

Answer: 103/40, or 2 23/40 or, 2.575

Step-by-step explanation:

5 0

2 years ago