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sdas [7]
2 years ago
7

The gravitational force on a body falling towards the earth is directly proportional to the

Mathematics
1 answer:
Trava [24]2 years ago
5 0

The equation would be y = kx with k being a constant.

<h3>Direct variation</h3>

Assuming the gravitational force is y and the mass of the body is x. y is directly proportional to the x.

Mathematically,

y = kx where k = constant.

If y = 19.6 Newtons and x = 2 kg, then

k = y/x = 19.6/2 = 9.8.

More on gravitational force can be found here: brainly.com/question/12528243

#SPJ1

 

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What is the point-slope form of a line that has a slope of –4 and passes through point (–3, 1)?
ivolga24 [154]

Answer:

y-1= -4(x-(-3))

y minus 1 = negative 4 left-bracket x minus (negative 3) right-bracket

Step-by-step explanation:

The formula for point slope form is written: y-y_{1} = m(x-x_{1}). Now we fill in our know information. m=-4 (because that is the slope), y_{1}=1 (It is the y value in the ordered pair), x_{1}= -3 (It is the x value in the ordered pair).

y-1=-4(x- (-3))

4 0
3 years ago
Eli and Karl each throw a basketball straight up in the air at the same time. Eli is standing on a deck and the height of his ba
tino4ka555 [31]
We are to find the time at which the height of basketball thrown by Eli and Karl is equal. We have the functions which model the heights of both basketballs. So by equating the functions representing the height of both basketballs we can find the value of x from that equation at which the height is same for both basketballs.

-4.9 x^{2} +12x+2.5=-4.9 x^{2} +14x \\  \\ &#10;12x+2.5=14x \\  \\ &#10;2.5=2x \\  \\ &#10;x=1.25

Thus after 1.25 seconds the height of basketballs thrown by Eli and Karl will be at the same height. This can be verified by finding the heights of both at x=1.25

For Eli:
Height=f(1.25)=-4.9 (1.25)^{2}+12(1.25)+2.5=9.84375

For Karl:
Height=f(1.25)=-4.9 (1.25)^{2}+14(1.25)=9.84375

Thus height of both basketball is equal after 1.25 seconds


5 0
3 years ago
Read 2 more answers
39,477 round to 1,000
user100 [1]
40,000 is your answer hope I could help
6 0
3 years ago
Solve for y <br><br> 5y- 10x = 45
nasty-shy [4]

Answer:

y=9 (x=-4.5)

Step-by-step explanation:

you have to split the equation up in order to solve

5y=45

divide by 5 on both sides

y=9

-10x=45

divide by -10

x=-4.5

6 0
3 years ago
What is the sum of 3m + 7y + 5 - m - 6y?
nevsk [136]
3m + 7y + 5 + -1m + -6y = 0
Reorder the terms:5 + 3m + -1m + 7y + -6y = 0
Combine like terms: 3m + -1m = 2m5 + 2m + 7y + -6y = 0
Combine like terms: 7y + -6y = 1y5 + 2m + 1y = 0
Solving5 + 2m + 1y = 0
Solving for variable m'.
Move all terms containing m to the left, all other terms to the right.
Add '-5' to each side of the equation.5 + 2m + -5 + 1y = 0 + -5
Reorder the terms:5 + -5 + 2m + 1y = 0 + -5
Combine like terms: 5 + -5 = 00 + 2m + 1y = 0 + -52m + 1y = 0 + -5
Combine like terms: 0 + -5 = -52m + 1y = -5
Add '-1y' to each side of the equation.2m + 1y + -1y = -5 + -1y
Combine like terms: 1y + -1y = 02m + 0 = -5 + -1y2m = -5 + -1y
Divide each side by '2'.m = -2.5 + -0.5y
Roots  m=-2.5 + -0.5y

Simplify the following:3 m + 7 y + 5 - m - 6 y
Grouping like terms, 3 m + 7 y + 5 - m - 6 y = (7 y - 6 y) + (3 m - m) + 5:(7 y - 6 y) + (3 m - m) + 5
7 y - 6 y = y:y + (3 m - m) + 5
3 m - m = 2 m:Answer:  y + 2 m + 5
Not sure what you need so I gave you Simplification and Roots.


8 0
3 years ago
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