Answer:
Linearly independent, x = 0
Step-by-step explanation:
- We are given three functions as follows:

- We are to determine the linear - independence of the given functions. We will use the theorem of linear independence which states that:

Where,
c1 , c2 , c3 are all zeroes then for all values of (x),
- The system of function is said to be linearly independent
- We will express are system of equations as such:
- To express our system of linear equations we will choose three arbitrary values of ( x ). We will choose, x = 0. then we have:

- Next choose x = 1:

- Next choose x = 2:

- Solve the last two equations simultaneously we have:
.... ( Only trivial solution exist )
Answer: The functions are linearly independent
- The only zero exist is x = 0.
The answer would be A. 3.6 × 10^9
Answer:

Step-by-step explanation:
Refer the attached figure .
We are given a line AB
Point A
Point B
Formula for slope 'm' when two points are given :

Substituting thew values


Since we are given that AB is perpendicular to BC
So, By property - perpendicular slopes are negative reciprocals of each other.



So, Slope for line BC : 
Point B = (4,4)
Formula of equation of line : 





Hence the equation of line BC : 
2,000 IBs (pounds) are in a ton.