Answer:
or 
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to
substitute the values
the graph in the attached figure
Answer:
Perimeter of triangle J= 18.0 units (3 s.f.)
Perimeter of triangle K= 19.0 units (3 s.f.)
Step-by-step explanation:
The length of each side of the triangle can be found using the distance formula below:
Please see the attached pictures for full solution.
Answer:
The number of distinct arrangements is <em>12600</em><em>.</em>
Step-by-step explanation:
This is a permutation type of question and therefore the number of distinguishable permutations is:
n!/(n₁! n₂! n₃! ... nₓ!)
where
- n₁, n₂, n₃ ... is the number of arrangements for each object
- n is the number of objects
- nₓ is the number of arrangements for the last object
In this case
- n₁ is the identical copies of Hamlet
- n₂ is the identical copies of Macbeth
- n₃ is the identical copies of Romeo and Juliet
- nₓ = n₄ is the one copy of Midsummer's Night Dream
Therefore,
<em>Number of distinct arrangements = 10!/(4! × 3! × 2! × 1!)</em>
<em> = </em><em>12600 ways</em>
<em />
Thus, the number of distinct arrangements is <em>12600</em><em>.</em>
When the X term is one, and doesn't have a leading coefficient, then you can factor it using the box and diamond method. look up videos on Khan Academy of the box and diamond method for solving trinomials. For number 9, you have a difference of squares. That means you can factor to just 2 terms. (x+4)(x-4) this works because 16 has an easy square root, and the sign in between is a negative(difference)
Answer:
Ted and Fred
Step-by-step explanation:
As per the question,
Ted and Fred are the owners of a gas station that is they are the owner of their own firm.
As being the owner of their own company, they are the one who is responsible for their loss. That is the firm’s owners always suffer the firm’s risk.
Business Risk: Risk that a business will not be able to cover its operating costs.
So in this case, Lawrence is the employee and legally he is not responsible to suffer any kind of the loss.
So he must be paid his salary on time and in full whether or not the firm is running a profit, a loss, or just breaking even.
As being owner Ted and Fred are responsible to withstand the business risk.
Hence, the person who is legally responsible for bearing the $40,000 loss is Ted and Fred.
