Answer:
v=9i+3j
Step-by-step explanation:
The given vector, v has initial point at P1 = (−5, −2) and terminal point at P2 = (4, 1).
The vector v is found by subtraction the initial point from the terminal point.
v=<4,1>-<-5,-2>
v=<4--5,1--2>
v=<9,3>
We write v as multiples of the basis vectors to obtain:
v=9i+3j
Answer:
There are 17,418,240 different ways to choose the teams.
Step-by-step explanation:
Arrangements of n elements:
The number of possible arrangements of n elements is given by:
![A_{n} = n!](https://tex.z-dn.net/?f=A_%7Bn%7D%20%3D%20n%21)
In how many different ways can the teams be chosen so that the number of employees on each project are as follows: 9, 4, 2?
This is:
Arrangement of 9 elements, followed by an arrangement of 4 elements followed by an arrangement of 2 elements. So
![T = A_{9}*A_{4}*A_{2} = 9!*4!*2! = 362880*24*2 = 17418240](https://tex.z-dn.net/?f=T%20%3D%20A_%7B9%7D%2AA_%7B4%7D%2AA_%7B2%7D%20%3D%209%21%2A4%21%2A2%21%20%3D%20362880%2A24%2A2%20%3D%2017418240)
There are 17,418,240 different ways to choose the teams.
Answer:
c>6, since a negative coefficient reverses the sign
Step-by-step explanation:
7-c<1
-c<-6
c>6
Answer:
yes, it is equivalent!!
Step-by-step explanation:
6(3x + 1) = 18x + 6
9x + 6 + 9x combined will also equal 18x + 6