Let the direct variation relationship is expressed by the equation y = mx ........ (1), where x and y are in direct variation and k is the variation constant.

Now, the point (4,-2) is included in the direct variation relationship, then from equation (1) we get, -2 = 4m

⇒ $m = - \frac{1}{2}$

Therefore, the equation (1) becomes $y = - \frac{1}{2}x$

⇒ x + 2y = 0 ......... (2)

Now, from the given four options only the point (-4,2) satisfies the relation (2).

Hence, (-4,2) belongs in this direct variation. (Answer)

5 0

3 years ago

Koalas sleep for 20hours a day. For what fraction of a day do koalas sleep?

vagabundo [1.1K]

Answer:

5/6

Step-by-step explanation:

There are 24 hours a day and a koala sleeps for 20 hours of it:

20/24

5/6

5 0

3 years ago

Read 2 more answers

Find how many yard are in 1 mild. A mile is 5280 feet, a yard is 3 feet

siniylev [52]

Answer: 1760

<u>Step-by-step explanation:</u>

$\dfrac{5280\ feet}{1\ mile}\times \dfrac{1\ yard}{3\ feet}\quad =\dfrac{5280\ yard}{3\ feet}\quad =\large\boxed{1760\ yard\ per\ mile}$

6 0

4 years ago