the correct answer is c). y = 4x + 12. i just took the test for usa test prep
Answer:
The number of permutations is limited by the number of items which are alike.
Step-by-step explanation:
Honestly, options A and C seem both valid: one states that you're limited by how many items repeat, and the other states that you depend on how many items don't repeat. They seem two faces of the same coin to me.
However, the idea is the following: imagine you want to compute the permutation of 3 object. In general, the answer would be 6: you have
ABC
ACB
BAC
BCA
CAB
CBA
But what if two items would repeat? For example, let's change our set from ABC to AAC. The permutations would be
AAC
ACA
AAC
ACA
CAA
CAA
As you can see, the number of distinct permutation has halved. This is quite intuitive, because every permutation that used to switch A and B now switches A and A itself, so you don't notice any difference.
This problem can be seen as a rectangle triangle where the vertices are:
Vertice 1: home plate
Vertice 2: First base
Vertice 3: second base.
Right angle between vertice 1 and 2 and vertice 2 and 3.
Distance between each base in 90 '.
Calculating then the distance between home plate and second base we have:
d = root ((90) ^ 2 + (90) ^ 2)
d = 127.28 feets
answer:
the distance between home plate and second base is 127.28 feets
Answer:
No
Step-by-step explanation:
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.