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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.

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Rewrite 2 7/9 as a improper fraction

Alborosie

The answer would be 25/9 as a improper fraction

6 0

3 years ago

How to solve for y.

NARA [144]

25, 65, and y make a right triangle. use a^2 + b^2 =c^2.
so...
y^2 + 25^2 = 65^2
y^2 + 625 = 4225
y^2 = 3600 take the square root of both sides
y=60

7 0

2 years ago

What is the slope of 4x+5y= -10

Aleonysh [2.5K]

Answer:

$-\frac{4}{5}$

Step-by-step explanation:

To find the slope, rearrange the equation to y=mx+b or y=mx+c.

$4x+5y=-10$

Subtract 4x from both sides:

$5y=-10-4x$

Divide 5 on both sides:

$y=\frac{-10-4x}{5}$

$y=-\frac{4}{5} x-2$

In the equation of y=mx+b/y=mx+c, m will be the slope.

Therefore, the slope is $-\frac{4}{5}$

6 0

3 years ago

How do you solve: 2(7-x)+4x=20

Angelina_Jolie [31]

First expand it
Next subtract 14 - 2x + 4x so it can be 14 + 2x
Next subtract 14 from both sides
Next subtract 20 - 14 so it can be 6
Then divide both sides by 2
And lastly reduce the fraction 6/2 and once u reduce it u have your answer which is x = 3.

5 0

2 years ago

Al saves pennies. He agreed to give 3/7 of his pennies to Bev if she would give 3/7 of what she got from Al to Carl and if Carl

ser-zykov [4K]

Answer:

2744 pennies.

Step-by-step explanation:

Let x represent the number of pennies Al have initially.

We have been given that Al agreed to give 3/7 of his pennies to Bev, so number of pennies Bev will get would be $\frac{3}{7}x$ .

We are also told that Bev gave 3/7 of what she got from Al to Carl, so number of pennies that Carl will get would be $\frac{3}{7}x\cdot \frac{3}{7}=\frac{9}{49}x$ .

Further, Carl gave 3/7 of what he got from Bev to Dani, so number of pennies that Dani will get would be $\frac{9}{49}x\cdot \frac{3}{7}=\frac{27}{343}x$ .