Answer:
7.07106781187
Step-by-step explanation:
Let us use the distance formula:

x2=2
x1=7
y2=4
y1=9




d=7.07106781187 (round to whatever digit neccesary)
Hope this helps!!
Answer: 48 sold-out performances must be played in order for you to break even.
Step-by-step explanation:
Let x represent the number of sold-out performances must be played in order for you to break even.
You invest in a new play. The cost includes an overhead of $30,000, plus production costs of $2500 per performance. This means that the total cost of x sold out performances would be
2500x + 30000
A sold-out performance brings you $3125. This means that he total revenue from x sold out performances would be
3125x
To break even, cost = revenue
Therefore,
2500x + 30000 = 3125x
3125x - 2500x = 30000
625x = 30000
x = 30000/625
x = 48
The answer to this question is 4
Answer: the wire should be cut into 12 cm and 28 cm
Step-by-step explanation:
All sides of a square is equal.
The perimeter of a square is the distance around the square.
Let L represent the length each side of one of the squares. Then the perimeter of this square is 4L.
The length of a side of one square is to be 4 longer than length of a side of the other. This means that the length of each side of the other square is L + 4
The perimeter of the other square would be 4(L + 4) = 4L + 16
Since the piece of wire is 40 cm long, then
4L + 4L + 16 = 40
8L = 40 - 16 = 24
L = 24/8 = 3
The perimeter of the first square is
4L = 4 × 3 = 12
The perimeter of the second square is
4L + 16 = 4 × 3 + 16= 28