3 years ago

Suppose y varies directly as x, and y= 16 when x=8. Find y when x=16

Mathematics

1 answer:

Murrr4er [49]3 years ago

3 0

Y would equal 24 beacuse when X equaled 8 they added 8 to get 16 so he x=16 y=24

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A ball is thrown in the air from a height of 3 m with an initial velocity of 12 m/s. To the nearest tenth of a second, how long

stepladder [879]

Answer: 1.4 seconds

Step-by-step explanation:

The equation is: h(t) = at² + v₀t + h₀ where

a is the acceleration (in this case it is gravity)
v₀ is the initial velocity
h₀ is the initial height

Given:

a = -9.81 (if it wasn't given in your textbook, you can look it up)
v₀ = 12
h₀ = 3

Since we are trying to find out when it lands on the ground, h(t) = 0

EQUATION: 0 = 9.81t² + 12t + 3

Use the quadratic equation to find the x-intercepts

a=-9.81, b=12, c=3

$x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(12)\pm \sqrt{(12)^2-4(-9.81)(3)}}{2(-9.81)}\\\\\\x=\dfrac{-12\pm 16.2}{-19.62}\\\\\\x=\dfrac{-12+ 16.2}{-19.62}=-0.2\qquad x=\dfrac{-12- 16.2}{-19.62}=\large\boxed{1.4}\\$

Note: Negative time (-0.2) is not valid

4 0

3 years ago

there are 60 boys and 72 girls in a school. the principle wants to divide the students into gender-specific groups ( all boys or

Tamiku [17]

Hello there,
You want to split them into gender specific groups.
So...
Find the HCF(highest common factor) of 60 & 72
The answer will be shown in the picture
I have done 2 methods :))