Which of the following quantities are directly proportional?

Mathematics

2 answers:

yaroslaw [1]3 years ago

3 0

Answer: Directly proportional

Step-by-step explanation:

lisov135 [29]3 years ago

3 0

Answer:

<h2>They are directly proportional.</h2>

$A=6l$

Step-by-step explanation:

The area of a rectangle is

$A= l \times w$

Where $l$ is length and $w$ is width.

Now, if its width is 6 cm, then

$A=6l$

Now, this equation states that the area of the rectangle and its length are directly proportional, because if we increase the length, then the area will be also increased. Remember that a direct proportion between two magnitudes is where they both increase or decrease at the same time.

Therefore, they are directly proportional.

You might be interested in

At present a man is 5 times as old as his son, in 13 years time he will be three times as old as his son. Find the man's present

Yuliya22 [10]

Answer:

Step-by-step explanation:

let the son's age be x then the man's age is 5x

In 13 years

son's age = x + 13 and man's age = 5x + 13 and he is 3 times as old as son

5x + 13 = 3(x + 13)

5x + 13 = 3x + 39 ( subtract 3x from both sides )

2x + 13 = 39 ( subtract 13 from both sides )

2x = 26 ( divide both sides by 2 )

x = 13 ← son's present age

5x = 5 × 13 = 65 ← man's present age

6 0

3 years ago

Read 2 more answers

A treasure map says that a treasure is buried so that it partitions the distance between a rock and a tree in a 5:9 ratio. Marin

sattari [20]

Answer:

Option B. is the answer.

Step-by-step explanation:

The given question is incomplete without the attachment; here is the attachment enclosed with the answer.

Since coordinates of the point representing rock is (3, 2) and coordinates of the tree are (16, 21) and treasure divides the line joining rock and tree in the ratio of 5:9.

We know the formula to get the coordinates of point P(x, y) joining (a, b) and (c, d) in the ratio of m : n is

P(x, y) = $[\frac{(mc+na)}{m+n}, \frac{(md+nb)}{m+n}]$