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2 years ago

Suppose c and d vary inversely, and d=2 when c=17.

Mathematics

1 answer:

grin007 [14]2 years ago

5 0

Answer:

a. x - cd = 0

b. d = 1 / 2

Step-by-step explanation:

d = 2

c = 7

c is inversely proportional to d,

c ∝ 1 / d

This inversely proportional need to be removed by using a variation / variable.

Let the variable be " x ".

c = x / d

Multiply d on both sides,

cd = x

x = cd

Subtract cd on both sides,

x - cd = 0

Hence, the equation is " x - cd = 0 ".

By using the equation,

x - cd = 0

Add cd on both sides,

x = cd

c = 17, d = 2

x = 17 * 2

x = 34

To find d, when c = 68.

x = cd

34 = 68 * d

Divide 68 on both sides,

34 / 68 = d

1 / 2 = d

d = 1 / 2

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