Answer:

Step-by-step explanation:
Let be "s" the length in meters of the short piece and "l" the lenght in meters of the long piece.
Set up a system of equations:

Apply the Substitution Method to solve the system. Substitute the second equation into the first equation and solve for "l":

Susbstitute the value of "l" into the second equation in order to find the value of "s". This is:

Based on the information provided, it follows that there are 1,728 possible seating arrangements.
<h3>How can we find the number of possible arrangements?</h3>
To find the number of arrangements in this problem situation we must take into account the following key factors:
- Chris only has 1 possible seat.
- Jo has 2 possible seats.
- Dave, Alex, and Barb have 3 possible seats.
- Gareth, Fred, and Eddie have 3 possible seats.
- There are 4 other adults who do not have a preference in seats but have the possibility of using 4 seats.
According to the above, we must use the factorization of these numbers to find out the number of possibilities we have to seat them.
<h3>What is factoring?</h3>
A factorial function is a mathematical tool that is characterized by using the exclamation mark “!” behind a number. The factorial function is used to express that the number accompanied by the symbol must be multiplied by all positive integers between that number and 1.
In accordance with the above, in the problem situation that we must solve, we must use the factorial function with the possibilities of:
- Dave, Alex and Barb: 3! = 3 × 2 × 1 = 6
- Gareth, Fred and Eddie: 3! = 3 × 2 × 1 = 6
- Other 4 adults: 4! = 4 × 3 × 2 × 1 = 24
Subsequently, to calculate the number of total possibilities of the entire group we must multiply the possibilities of each group and individual as shown below:
- Number of possibilities = 1 × 2 × 6 × 6 × 24
- Number of possibilities = 1728
Learn more about the factorial function in: brainly.com/question/16674303
4x + 8 = -12 is the equation for this statement
Answer:
Direction : Open Down
Vertex : (3,4)
Focus : (3,15/4)
Axis of Symmetry : x=3
Directrix : y=17/4
x : 1,2,3,4,5
y : 0,3,4,3,0
Step-by-step explanation: Graph the parabola using the direction, vertex, focus, and axis symmetry. Graph is included down below!
Hope this helps you out! ☺
Answer:
Answer: b. 20.8 ft-lb
Step-by-step explanation: