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2 years ago

Which of the following has a constant of proportionality of 2?

Mathematics

2 answers:

uysha [10]2 years ago

8 0

Answer : y= 2x

When y is directly proportional to x then

y = kx where k is the constant of proportionality.

y = 2x , the value of k is 2. so 2 is the constant of proportionality.

y = x + 2, the equation is not in the form of y=kx

2y = x , $y= \frac{x}{2}$ so constant of proportionality k is $\frac{1}{2}$

y + 2 = 2x , y = 2x -2 is not in the form of y=kx

denis-greek [22]2 years ago

6 0

Linear fonction's equation : y = ax

So only in y = 2x
2 is the constant of <span>proportionality</span>

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2 years ago

A jumper in the long-jump goes into the jump with a speed of 12 m/s at an angle of 20° above the horizontal. How far does the ju

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x = 9.5 m

Step-by-step explanation:

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This problem is based on 2D motion kinematics equations:

$V_0 = 12 m/s$

$\theta = 20^0$

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$V_y = 0$

Components of initial velocity:

$V_0x = V_0 cos (\theta) =(12 )(cos (20^0)) = 11.3 m/s$

$V_0x = V_0 sin (\theta) = (12)(sin (20^0)) = 4.10 m/s$

To find time to reach maximum height:

$V_y = V_0y -gt$

Plugging in the known values:

0 = 4.10 - 9.8t

$t = \frac{-4.10}{-9.8}$

$t = 0.418 s$

Total time = 2t = 2(0.418) = 0.836 s

to find horizontal distance covered:

$x = (V_0x)(t)\\x = (11.3)(0.836)\\x = 9.5 m$

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