Answer:
The coordinates of the science lab is:
x = -14/3 , y = 1
Step-by-step explanation:
∵ P is (-8 , -1) and Q is (2 , 5)
∵ The point of the science lab is (x , y)
∵ The science lab point divided PQ at ratio 2 : 1 from Q (two thirds PQ)
∴ 
∴ 
∴ 
∴ 
∴ The point of science lab = (-14/3 , 1)
Answer:
20
Step-by-step explanation:
I don't know I just Lucky guessed but hope it helps and I was right
Answer:
z
Step-by-step explanation:
hope it will help full
is it right
Answer:
Option C is correct answer.
Step-by-step explanation:
We need to draw the graph of piece wise function
![f(x)\[ \begin{cases} -2-x & if\:x\leq 1 \\ -3+2x & if\: x>1 \end{cases}\]](https://tex.z-dn.net/?f=f%28x%29%5C%5B%20%5Cbegin%7Bcases%7D%20%20%20%20%20%20%20-2-x%20%26%20if%5C%3Ax%5Cleq%201%20%5C%5C%20%20%20%20%20%20-3%2B2x%20%26%20if%5C%3A%20x%3E1%20%20%20%5Cend%7Bcases%7D%5C%5D)
So, for drawing the graph, we will find values of f(x) for both the given equations.
First finding f(x) for 
The value of x must be less than or equal 1
x f(x)
1 -3
0 -2
-1 -1
-2 0
-3 1
-4 2
The graph will start from closed circle because x ≤ 1
Now, finding values of f(x) for 
The value of x must be greater than 1
x f(x)
2 1
3 3
4 5
5 7
The graph will start from open circle because x> 1
Now, plotting these numbers we will get graph of Option C.
Option C is correct answer.
Wouldn’t the answer be 40 be cause you multiply?