Answer:
1. the force that attracts a body toward the center of the earth, or toward any other physical body having mass.
2. extreme or alarming importance; seriousness.
"crimes of the utmost gravity"
Step-by-step explanation:
Gravity, also called gravitation, in mechanics, the universal force of attraction acting between all matter. ... On Earth all bodies have a weight, or downward force of gravity, proportional to their mass, which Earth's mass exerts on them. Gravity is measured by the acceleration that it gives to freely falling objects.
Given f(x) = 8x + 1 and g(x) = f(x − 2), which equation represents g substitute x-2 for x in f(x). we have. g(x)=8(x-2)+1. =8x-16+1. =8x-15.
Answer:
Step-by-step explanation:
This is the formula you would use to calculate how many tiles you would need.
# of tiles you need = Total square footage ÷ square footage of each tile
Total square footage: 69x69 = 4761 square feet
Square footage of each tile = 2x2 = 4 square feet
# of tiles you need = 4761 ÷ 4 = 1190.25
You will need 1190.25 tiles.
Answer:
![y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}](https://tex.z-dn.net/?f=y%20%3D%209%28x%20%2B%5Cfrac%7B1%7D%7B2%7D%29%20%5E%202%20-%5Cfrac%7B13%7D%7B4%7D)
Step-by-step explanation:
An equation in the vertex form is written as
![y = a (x-h) + k](https://tex.z-dn.net/?f=y%20%3D%20a%20%28x-h%29%20%2B%20k)
Where the point (h, k) is the vertex of the equation.
For an equation in the form
the x coordinate of the vertex is defined as
![x = -\frac{b}{2a}](https://tex.z-dn.net/?f=x%20%3D%20-%5Cfrac%7Bb%7D%7B2a%7D)
In this case we have the equation
.
Where
![a = 9\\\\b = 9\\\\c = -1](https://tex.z-dn.net/?f=a%20%3D%209%5C%5C%5C%5Cb%20%3D%209%5C%5C%5C%5Cc%20%3D%20-1)
Then the x coordinate of the vertex is:
![x = -\frac{9}{2(9)}\\\\x = -\frac{9}{18}\\\\x = -\frac{1}{2}](https://tex.z-dn.net/?f=x%20%3D%20-%5Cfrac%7B9%7D%7B2%289%29%7D%5C%5C%5C%5Cx%20%3D%20-%5Cfrac%7B9%7D%7B18%7D%5C%5C%5C%5Cx%20%3D%20-%5Cfrac%7B1%7D%7B2%7D)
The y coordinate of the vertex is replacing the value of
in the function
![y = 9 (-0.5) ^ 2 + 9 (-0.5) -1\\\\y = -\frac{13}{4}](https://tex.z-dn.net/?f=y%20%3D%209%20%28-0.5%29%20%5E%202%20%2B%209%20%28-0.5%29%20-1%5C%5C%5C%5Cy%20%3D%20-%5Cfrac%7B13%7D%7B4%7D)
Then the vertex is:
![(-\frac{1}{2}, -\frac{13}{4})](https://tex.z-dn.net/?f=%28-%5Cfrac%7B1%7D%7B2%7D%2C%20-%5Cfrac%7B13%7D%7B4%7D%29)
Therefore The encuacion excrita in the form of vertice is:
![y = a(x +\frac{1}{2}) ^ 2 -\frac{13}{4}](https://tex.z-dn.net/?f=y%20%3D%20a%28x%20%2B%5Cfrac%7B1%7D%7B2%7D%29%20%5E%202%20-%5Cfrac%7B13%7D%7B4%7D)
To find the coefficient a we substitute a point that belongs to the function ![y = 9x^2 + 9x - 1](https://tex.z-dn.net/?f=y%20%3D%209x%5E2%20%2B%209x%20-%201)
The point (0, -1) belongs to the function. Thus.
![-1 = a(0 + \frac{1}{2}) ^ 2 -\frac{13}{4}](https://tex.z-dn.net/?f=-1%20%3D%20a%280%20%2B%20%5Cfrac%7B1%7D%7B2%7D%29%20%5E%202%20-%5Cfrac%7B13%7D%7B4%7D)
![-1 = a(\frac{1}{4}) -\frac{13}{4}\\\\a = \frac{-1 +\frac{13}{4}}{\frac{1}{4}}\\\\a = 9](https://tex.z-dn.net/?f=-1%20%3D%20a%28%5Cfrac%7B1%7D%7B4%7D%29%20-%5Cfrac%7B13%7D%7B4%7D%5C%5C%5C%5Ca%20%3D%20%5Cfrac%7B-1%20%2B%5Cfrac%7B13%7D%7B4%7D%7D%7B%5Cfrac%7B1%7D%7B4%7D%7D%5C%5C%5C%5Ca%20%3D%209)
<em>Then the written function in the form of vertice is</em>
![y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}](https://tex.z-dn.net/?f=y%20%3D%209%28x%20%2B%5Cfrac%7B1%7D%7B2%7D%29%20%5E%202%20-%5Cfrac%7B13%7D%7B4%7D)
Answer:
36
Step-by-step explanation:
Length * Width so 9*4=36