We can use the vertex form of a quadratic,

, to find that

. Plugging

ordered pairs into g(x), we see that a = 1. For example, for

,

. Solving for a gives 1.
Answer:
A(2,1) , B(-3,2) , C(-1,6)
Step-by-step explanation:
A translation of 2 units up means the y values will be shifted up 2 units
A (2,-1) -> A(2,1)
B (-3,0) -> B(-3,2)
C (-1,4) -> C(-1,6)
Answer:
44 cups = 27.5 gallons
Step-by-step explanation:
Using the conversion:
We can find what is 44 cups in gallons.
=> 1 cup = 0.625 gallons
=> 44 x 1 = 0.625 x 44
=> 44 cups = 0.625 x 44 gallons
=> 44 cups = 27.5 gallons
Therefore, 44 cups = 27.5 gallons.
Hoped this helped.
Imagine the side of the building is one side to a triangle and the second would be from the top of the building to the point where the shadow ends and the third is from the base of the building to the point where the shadow ends. Just use the pythagoreon theorem to find stuff. I can't solve the problem you gave because you would need the height of the building
Step-by-step explanation:
X - 4 = 0
X = 4
X - 2 = 0
X = 2
So the values of x are 2 and 4