3 years ago

Divide 80 in a ratio of 3:2, with how you worked it out also please.

1 answer:

4 0

So your total is 5, 3+2=5, so divide 80 by 5 and get 16. then multiply 16 by 3 to get 48 and 16 by 2 to get 32. your ratio is 48:32

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Select the equation of the line to the equation y=-4x-6 and that passes through the point (1,2)

omeli [17]

I don't see a list of options, but I know that the answer is y = -4x + 6.

Point - Slope Form: y - y₁ = m(x - x₁)

y - 2 = -4(x - 1)

y - 2 = -4x + 4
+ 2 + 2
--------------------
y = -4x + 6

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4 years ago

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Free_Kalibri [48]

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Step-by-step explanation:

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3 years ago

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

<u>Step-by-step explanation:</u>

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

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