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pychu [463]
3 years ago
7

Which equation has a constant of proportionality equal to 9 y=81/3x y=9x y=3x y==1/9x

Mathematics
1 answer:
aev [14]3 years ago
8 0

Answer:

B)  y = 9 x has Proportionality Constant = 9

Step-by-step explanation:

Two quantities P and Q are said to be PROPORTIONAL if and only if:

P ∝ Q ⇔  P  = k Q    ⇔ k = \frac{P}{Q}

Here, k = PROPORTIONALITY CONSTANT

Given : k = 9

Now, let us consider the given expressions in which  x ∝y

y  = 81/3 x

Here, \frac{y}{x} = \frac{81}{3}  = 27 \ne 9

So, here Proportionality Constant ≠ 9

y = 9 x

Here, \frac{y}{x} =  9

So, here Proportionality Constant = 9

y = 3 x

Here, \frac{y}{x} =  3 \ne 9

So, here Proportionality Constant ≠ 9

y  = 1/9 x

Here, \frac{y}{x} =  \frac{1}{9}  \ne 9

So, here Proportionality Constant ≠ 9

Hence, only y = 9 x has Proportionality Constant = 9

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Step-by-step explanation:

Since the polygon is a quad we know all the angles add up to 360. So, we can do :

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Subtract 360 on both sides

-64 =  -x

Multiply by negative one on both sides and we get

64 = x

x is 64 degrees

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Nikita's distance from her for the second part of the race was 1.5 kilometers.

Since Nikita ran a 5-kilometer race in 39 minutes (0.65 of an hour) without training beforehand, and in the first part of the race, her average speed was 8.75 kilometers per hour, while for the second part of the race, she started to get tired, so her average speed dropped to 6 kilometers per hour, to determine which expression represents Nikita's distance for the second part of the race the following calculation must be performed:

  • 8.75 x 0.65 + 6 x 0 = 5.68
  • 8.75 x 0.50 + 6 x 0.15 = 5.275
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Learn more about maths in brainly.com/question/22791791

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