Answer:
57.1
Step-by-step explanation:
Perimeter Formula: P = 2l + 2w
Simply plug in what we know and solve:
269.4 = 2l + 2(77.6)
269.4 = 2l + 155.2
114.2 = 2l
l = 57.1
Answer:
The vertex is y=-4
Step-by-step explanation:
The vertex is the minimum point of the graph of the quadratic equation.
Let's first find the like of symmetry.
dy/dx=2x+12
2x+12=0
2x=-12
x=-6
Now plug -6 into the quadratic equation
y=(-6)²+12(-6)+32
y=-4
4 1/3 there you go hope I helped
Answer:
3
Step-by-step explanation:
A direct variation is of the form
y = kx
We know x and y so we can find k
81 = k *27
Divide each side by 27
81/27 = 27k/27
3=k
The constant of variation is 3
Answer:
600 seats
Step-by-step explanation:
We know there is 120 seats on a balcony and that is 
of the total seats, we want to find the total number of seats so,
120 seats =
We know that a whole fraction sums to 1 so for example 
120 seats =
Multiply both sides to make it a whole fraction
600 seats = 
So if there is 120 seats and that number is only of the total number of seats then the total number of seats is 600
