ANSWER
Vertex form:
![y = ( {x + 4)}^{2} - 11](https://tex.z-dn.net/?f=y%20%3D%20%28%20%7Bx%20%2B%204%29%7D%5E%7B2%7D%20-%2011)
Vertex
V(-4,-11)
EXPLANATION
The given expression is
![y = {x}^{2} + 8x + 5](https://tex.z-dn.net/?f=y%20%3D%20%7Bx%7D%5E%7B2%7D%20%2B%208x%20%2B%205)
We complete the square to get the vertex form.
Add and subtract half the square of the coefficient of x.
![y = {x}^{2} + 8x + 16 + 5 - 16](https://tex.z-dn.net/?f=y%20%3D%20%7Bx%7D%5E%7B2%7D%20%2B%208x%20%2B%2016%20%2B%205%20-%2016)
![y = ( {x + 4)}^{2} - 11](https://tex.z-dn.net/?f=y%20%3D%20%28%20%7Bx%20%2B%204%29%7D%5E%7B2%7D%20-%2011)
The vertex is
V(-4,-11)
1/48
Since there is only 1 page labeled “3,” the probability of picking page 3 is 1/48.
A standard number cube has 6 sides, and so the numbers are:
1,2,3,4,5,6
P, is any of those numbers that <em>are not 2</em>.
2 is one of the numbers in 6, and so it is 1/6 of the die.
6/6 - 1/6 = 5/6
C) 5/6 is your chance of getting a number that is not 2
hope this helps
Potential Energy of an object of 5kg which is 6 meters in height is 294 Joules.
Step-by-step explanation:
We are given:
Mass = m = 5 kg
Height = h= 6 meters
Potential Energy = ?
The formula used to find Potential Energy is:
![Potential\,\,Energy =mgh](https://tex.z-dn.net/?f=Potential%5C%2C%5C%2CEnergy%20%3Dmgh)
where m is mass, g is gravitational field and h is height
Putting the given values of mass and height, and g=9.8 m/s^2
![Potential Energy = 5*9.8*6\\Potential Energy = 294 Joules](https://tex.z-dn.net/?f=Potential%20Energy%20%3D%205%2A9.8%2A6%5C%5CPotential%20Energy%20%3D%20294%20Joules)
So, Potential Energy of an object of 5kg which is 6 meters in height is 294 Joules.
Keywords: Potential Energy
Learn more about Potential Energy at:
#learnwithBrainly