Answer:
1. y
2 x
3 a
4 b
Step-by-step explanation:
Answer: 15 units
Step-by-step explanation:
Given
The endpoints of the line segment are 
The length of the line segment is given by the distance formula i.e.

Insert the values,

Therefore, the length of line segment TU is 15 units
Answer:
Step-by-step explanation:
You have to use the distance formula to find that distance. The formula is:

Let's call the first point x1, y1 (4, -1) and the second point x2, y2 (0, -2). Plugging into our formula then gives us this:

which simplifies to
which is
≈ 4.123 units
The total cost of the factory will be the sum of its variable costs and it's fixed costs. The factory has fixed costs of $53,900 and variable costs of $12.50 per unit produced. Let
be the number of toy's produced by this Toby's Tiny Toys, then the total variable costs will be
. From this information we can gather that the cost function for this factory is,

On the other hand, if we let
be the number of toys sold, we can gather that at the selling price of 16.50, the revenue function will be ,

Toby's Tiny Toys will reach their break even point when the total costs are equal to the total revenue. At this break even point ,we have that

The company has to sell 134 750 units to break even.