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2 years ago

Find the constant of proportionality

Mathematics

1 answer:

hichkok12 [17]2 years ago

8 0

The constant of proportionality is 0.1

<h3>Complete question</h3>

Find the constant of proportionality (r)in the equation y=rx.

r =

x y

14 1.4

16 1.6

21 2.1

<h3>How to determine the constant of proportionality?</h3>

The equation is given as:

y = rx

When x = 14 and y = 1.4, we have:

1.4 = r * 14

Divide both sides by 14

r = 0.1

Hence, the constant of proportionality is 0.1

Read more about constant of proportionality at:

brainly.com/question/11763602

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3 years ago

Find four consecutive multiples of 3 such that the product of the first, third, and fourth is 1080

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<u>Therefore, we have 6, 9, 12, and 15, that are the first, second, third and fourth consecutive multiples of 3, such the product of 6, 12 and 15 is 1,080.</u>

Step-by-step explanation:

Let's find the factors of 1,080, as follows:

1,080 Dividing by 2 (1,080/2)

540 Dividing by 2 (540/2)

270 Dividing by 2 (270/2)

135 Dividing by 3 (135/3)

45 Dividing by 3 (45/3)

15 Dividing by 3 (15/3)

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3 years ago

Jet001 [13]

Answer:

Option D is correct.

VS = 20 units.

Step-by-step explanation:

The complete question is contained in the attached image to this answer.

From the image attached and the additional information about the triangles, it is evident that that triangle VSW is similar to triangle QSR.

Hence, we can write the ratio as

(VS/QS) = (VW/QR)

VS = 2a

QS = 2 × VS = 2 × 2a = 4a

VW = 2a - 2

QR = 3a + 6

(2a)/(4a) = (2a - 2)/(3a + 6)

Cross multiplying,

2a (3a + 6) = 4a (2a - 2)

3a + 6 = 2 (2a - 2)

3a + 6 = 4a - 4

4a - 3a = 6 + 4

a = 10

VS = 2a = 20 units.

Hope this Helps!!!

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