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3 years ago

Determine the value of r so that line through. -2,5 and 6,r has a slope of -3,2

Mathematics

1 answer:

Mademuasel [1]3 years ago

3 0

Answer:

R=10

Step-by-step explanation:

-2×-3=6

R=5×2

=10

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If r and s are positive integers, is \small \frac{r}{s} an integer? (1) Every factor of s is also a factor of r. (2) Every prime

Yuri [45]

Answer:

If statement(1) holds true, it is correct that $\small \frac{r}{s}$ is an integer.

If statement(2) holds true, it is not necessarily correct that $\small \frac{r}{s}$ is an integer.

Step-by-step explanation:

Given two positive integers $r$ and $s$ .

To check whether $\small \frac{r}{s}$ is an integer:

Condition (1):

Every factor of $s$ is also a factor of $r$ .

$r \geq s$

Let us consider an example:

$s = 5^2 \cdot 2\\r = 5^3 \cdot 2^2$

$\dfrac{r}{s} = \dfrac{5^3\cdot2^2}{5^2\cdot2} = 10$

which is an integer.

Actually, in this situation $s$ is a factor of $r$ .

Condition 2:

Every prime factor of s is also a prime factor of r.

(But the powers of prime factors need not be equal as we are not given the conditions related to powers of prime factors.)

Let

$r = 2^2\cdot 5\\s =2^4\cdot 5$

$\dfrac{r}{s} = \dfrac{2^3\cdot5}{2^4\cdot5} = \dfrac{1}{2}$

which is not an integer.

So, the answer is:

If statement(1) holds true, it is correct that $\small \frac{r}{s}$ is an integer.

If statement(2) holds true, it is not necessarily correct that $\small \frac{r}{s}$ is an integer.

8 0

3 years ago

Simplify and determine the coefficient of (-2/5x) (5y) (-2x)

slamgirl [31]

The answer is 4 x^2y. I cannot explain to you how I know I'm right. I'm the type of person who HAS to do the work in their head . I am a very experienced person in any Mathematics area. I am NOT saying I'm an expert , but it is one of my strongest subjects .

7 0

4 years ago

Read 2 more answers

All tickets for a local country concert are the same price. The ticket agency adds a fixed fee to every order. A person who orde

Norma-Jean [14]

Answer:

Since we are doing division the correct answer would be :

108 divided by 6 = 18

Hope this helps! :)

5 0

4 years ago

PLEASE HELP ME ON THIS!!!! THIS IS URGENT I need to know if 1-5 if they are congruent or not