Answer:
P = 25.71 cm
Step-by-step explanation:
Perimeter of semicircle = πD/2
Where D=10 cm
P = (3.142)(10)/2
P = (3.142)(5)
P = 15.71 cm
Complete Perimeter of Semicircle = P + Diameter
= 15.71 + 10
= 25.71 cm
Is the question a multiple choice?
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.
First multiply C by F by multiplying each row in C by each column in F:
12 * -2 + 0*0 + 1.5*2 12*0 + 0*8 + 1.5*1
1*-2 -6*0 +7.2 1*0-6*8 +7*1
to get a matrix of:
-21 1.5
12 -41
Now subtract that matrix from B:
2- -21 = 2+21 = 23
8 - 1.5 = 6.5
0.6 - 12 = -11.4
3 - -41 = 3+41 = 44
So you have:
23 6.5
-11.4 44
Which makes C the correct answer.