The expressions that can represent the dimensions of the prim is (x), (3x+1) and (4x-1).
Use the distance formula:

(6, -2), (-2, -12)

⇒


⇒


= 12.8
The distance between points T and U is
12.8 units.
Answer:
No Solutions
Step-by-step explanation:
In a triangle, the sum of the angles has to be 180 degrees. It also is impossible to find the length of sides without at least one side, since the range of lengths is practically infinite. There are no solutions to this problem.
Answer: 2 buses and 4 vans would be needed
Step-by-step explanation:
Let x represent the number of buses that would be needed.
Let y represent the number of vans that would be needed.
There will be six drivers, and two different types of vehicles. This means that
x + y = 6
142 students are going on a field trip. A bus can hold 51 people while a van can hold 10. This means that
51x + 10y = 142 - - - - - - - - - - - 1
Substituting x = 6 - y into equation 1, it becomes
51(6 - y) + 10y = 142
306 - 51y + 10y = 142
- 51y + 10y = 142 - 306
- 41y = - 164
y = - 164/ - 41
y = 4
x = 6 - y = 6 - 4
x = 2
Answer:
226.981
Step-by-step explanation:
The volume of a cube is found using the formula V = s³. Substitute s = 6.1 and simplify.
V = s³
V = (6.1)³
V = (6.1)(6.1)(6.1)
V = 226.981