When we graph the function, it has a vertex of (3, 16).
The maximum of the graph is the highest "x" value on the graph which is 3.
Since the maximum is 3, it will take 3 seconds for the ball to reach its maximum height.
A graph will be shown below showing the function and vertex.
Best of Luck!
Answer:
slope = 5/6
Step-by-step explanation:
Since you were given two points, you can use the point-slope formula to find the slope. The general equation looks like this:
y₁ - y₂ = m(x₁ - x₂)
In this formula, "m" represents the slope. To find the slope, plug the values from the two points into the equation. Make sure to put the values from the same point in the variable with the same number.
Point 1: (-1, 8)
Point 2: (-7, 3)
y₁ - y₂ = m(x₁ - x₂) <----- Original formula
8 - y₂ = m(-1 - x₂) <----- Plug in "x" and "y" values from Point 1
8 - 3 = m(-1 - (-7)) <----- Plug in "x" and "y" values from Point 2
5 = m(-1 - (-7)) <----- Simplify left side
5 = m(6) <----- Simplify inside parentheses
5/6 = m <----- Divide both sides by 6
Answer:
a) As sides of squares are always equal.
So,
BC=CD
2b+CF=a+b
CF= a+b-2b
CF= a-b
b) Area of rectangle CDEF= CDxCF
=(a+b)(a-b)
=(a²-b²)
Hope it helps :-)
If the turn out of an event is to take place or not to take place only then, the sum of the probability of it taking place and not taking place is 1. If we represent the probability of it taking place by x then, the probability of it not taking place is equal to 1 - x.
