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Ahat [919]
4 years ago
13

What is the relation between the variables in the equation y/x^2=10

Mathematics
2 answers:
eimsori [14]4 years ago
8 0

Answer:

c. y varies directly with x squared

Step-by-step explanation:

The given equation is y / x^2 = 10

This can be written as y = 10x^2

This is a direct variation y = kx, this can be read as y varies directly with x, where k is the constant.

Therefore, y = 10x^2 means "y varies directly with x squared".

Answer: c. y varies directly with x squared.

Hope you will understand the concept.

Thank you.

Lady_Fox [76]4 years ago
7 0

Answer: OPTION C.

Step-by-step explanation:

Direct variation, by definition, has the form shown below:

y=kx

Where k is the constant of proportionality.

Then  if you solve fo y from the given equation, you obtain the following form:

y=10x^{2}

Therefore y varies directly with x².

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Read 2 more answers
In the drawing above two rugby players start 41 meters apart at rest. Player 1 accelerates at 2.2 m/s^2 and player 2 accelerates
Anettt [7]

Answer:

The time that elapses before the players collide is 4.59 secs

Step-by-step explanation:

The distance between the two players is 41 meters. Hence, they would have total distance of 41 meters by the time they collide.

We can write that

S₁ + S₂ = 41 m

Where S₁ is the distance covered by Player 1 before collision

and S₂ is the distance covered by Player 2 before collision

From one of the equations of kinematics for linear motion,

S = ut + \frac{1}{2} at^{2}

Where S is distance

u is the initial velocity

a is acceleration

and t is time

Since the players collide at the same time, then time spent by player 1 before collision equals time spent by player 2 before collision

That is, t₁ = t₂ = t

Where t₁ is the time spent by player 1

and t₂ is the time spent by player 2

For player 1

S = S₁

u = 0 m/s ( The player starts at rest)

a = 2.2 m/s²

Then,

S₁ = 0(t) + \frac{1}{2} (2.2)t^{2}

S₁ = 1.1t^{2}

t^{2} = \frac{S_{1} }{1.1}

For player 2

S = S₂

u = 0 m/s ( The player starts at rest)

a = 1.7 m/s²

Then,

S₂ = 0(t) + \frac{1}{2} (1.7)t^{2}

S₂ = 0.85t^{2}

t^{2} = \frac{S_{2} }{0.85}

Since the time spent by both players is equal, We can  write that

t^{2} = t^{2}

Then,

\frac{S_{1} }{1.1} =  \frac{S_{2} }{0.85}

0.85S_{1} = 1.1S_{2}

From, S₁ + S₂ = 41 m

S₂ = 41  - S₁

Then,

0.85S_{1} = 1.1 ( 41 -S_{1} )

0.85S_{1} = 45.1 - 1.1S_{1}

0.85S_{1} + 1.1S_{1} = 45.1 \\1.95S_{1} = 45.1\\S_{1} = \frac{45.1}{1.95} \\S_{1}  = 23.13 m

This is the distance covered by the first player. We can then put this value into t^{2} = \frac{S_{1} }{1.1} to determine how much time elapses before the players collide.

t^{2} = \frac{S_{1} }{1.1}

t^{2} = \frac{23.13 }{1.1}

t^{2} = 21.03\\t = \sqrt{21.03} \\t = 4.59 secs

Hence, the time that elapses before the players collide is 4.59 secs

3 0
4 years ago
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Anastasy [175]

Answer:

the bows are 8 inches in length

Step-by-step explanation:

he has <em>divided</em><em> </em>the ribbon into 9 equal parts so 72÷9 is the equation which equals 8 inches for every bow

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