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Len [333]
3 years ago
14

Suppose j varies jointly with g and v, and j=1 when g=6 and v=3.

Mathematics
2 answers:
Alex_Xolod [135]3 years ago
6 0
"Joint variation<span>" means "directly, but with two or more variables". Thus, we write as follows:

j </span>α gv
<span>
We insert proportionality constant k, to change it to equality.

j = kgv

We solve k,

1 = k (4)(3)
k =1/12

j = gv/12
j = 8(11)/12
j = 22/3</span>
monitta3 years ago
3 0

Answer:

The constant of variation is \frac{1}{18}

Value of j is \frac{44}{9}

Step-by-step explanation:

Given,

j varies jointly with g and v,

That is,

j ∝ gv

⇒ j = k(gv)

Where, k is the constant of variation,

We have, j = 1 when g = 6 and v = 3

⇒ 1 = k(6 × 3) ⇒ 1 = 18k ⇒ k = \frac{1}{18}

Thus, the equation that shows the given relation in j, g and v is,

j=\frac{1}{18}(gv)

If g = 8, v = 11,

j=\frac{1}{18}\times 8\times 11=\frac{88}{18}\implies j=\frac{44}{9}

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Since Shaan walks 2.5 meters per second, while his brother Dhvan walks 1 meter per second, and Dhvan wants to have a race, and Shaan knows that he walks faster, but he wants to give his brother a head start of 45 meters, so it doesn't seem that he is allowing him to win, to determine how many meters long should the race be in order for Dhvan to win the following calculation must be performed:

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