Answer:
The y-intercept is the place where the line meets the y-axis
Step-by-step explanation:
Answer:
y+8=-5(x-3)
Step-by-step explanation:
The formula for point-slope form is y-y1=m(x-x1)
The points for (x1, y1) are (3, -8), meaning that 3 is x1 and -8 is y1.
So, start by writing your equation like this: y--8=m(x-3)
For the equation y--8=m(x-3), the y--8 will change to a + sign because two negatives make a positive, right? So, the equation should now look like this: y+8=m(x-3).
We know that the slope (m) is -5. Plug that into the equation to get this: y+8=-5(x-3)
And there you have it!! The equation is now in point-slope form!!
y+8=-5(x-3) is the final answer!!
Hope that helps you!! Please give me brainliest!!
Answer:
The potential energy of the ball having 2kg mass would be 
J
Step-by-step explanation:
I am assuming the ball has a mass of 2 kg, as you have not mentioned the mass of a ball.
Considering the formula for calculating the gravitational potential energy
As
kg
Acceleration of gravity = g = 9.8 
As the ball is on the height = h = 20 meters
So,
J
Therefore, the potential energy of the ball = J
Keywords: potential energy, Gravitation potential energy
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Step-by-step explanation:
With reference to the regular hexagon, from the image above we can see that it is formed by six triangles whose sides are two circle's radii and the hexagon's side. The angle of each of these triangles' vertex that is in the circle center is equal to 360∘6=60∘ and so must be the two other angles formed with the triangle's base to each one of the radii: so these triangles are equilateral.
The apothem divides equally each one of the equilateral triangles in two right triangles whose sides are circle's radius, apothem and half of the hexagon's side. Since the apothem forms a right angle with the hexagon's side and since the hexagon's side forms 60∘ with a circle's radius with an endpoint in common with the hexagon's side, we can determine the side in this fashion:
tan60∘=opposed cathetusadjacent cathetus => √3=Apothemside2 => side=(2√3)Apothem
As already mentioned the area of the regular hexagon is formed by the area of 6 equilateral triangles (for each of these triangle's the base is a hexagon's side and the apothem functions as height) or:
Shexagon=6⋅S△=6(base)(height)2=3(2√3)Apothem⋅Apothem=(6√3)(Apothem)2
=> Shexagon=6×62√3=216
Answer:
6 pk noisemakers (6 x 5 = 30 noisemakers)
1 pk balloons (1 x 30 = 30 balloons)
Step-by-step explanation:
divide 30 by 5, = 6
buy 6 packs noisemakers and one pack of balloons
