Answer:
D(4, 1)
Step-by-step explanation:
The two diagonals have the same midpoint, so ...
(A+C)/2 = (B+D)/2
A+C = B+D . . . . multiply by 2
A+C-B = D . . . . . subtract B
D = (1, 1) + (5, 3) - (2, 3) = (1+5-2, 1+3-3)
D = (4, 1)
Wherever you see an x, replace it with -5
So f(-5) = -(-5^2) -7(-5) -5
= -(25) + 35 - 5
= -25+30
= 5
Given that
and ![f(n)=[f(n-1)]^2-n](https://tex.z-dn.net/?f=f%28n%29%3D%5Bf%28n-1%29%5D%5E2-n)
We need to determine the value of f(4)
To determine the value of f(4), we need to know the values of the previous terms f(2), f(3).
<u>The value of f(2):</u>
The value of f(2) can be determined by substituting n = 2 in the function ![f(n)=[f(n-1)]^2-n](https://tex.z-dn.net/?f=f%28n%29%3D%5Bf%28n-1%29%5D%5E2-n)
Thus, we get;
![f(2)=[f(2-1)]^2-2](https://tex.z-dn.net/?f=f%282%29%3D%5Bf%282-1%29%5D%5E2-2)
![f(2)=[f(1)]^2-2](https://tex.z-dn.net/?f=f%282%29%3D%5Bf%281%29%5D%5E2-2)


Thus, the value of f(2) is 2.
<u>The value of f(3):</u>
The value of f(3) can be determined by substituting n = 3 in the function ![f(n)=[f(n-1)]^2-n](https://tex.z-dn.net/?f=f%28n%29%3D%5Bf%28n-1%29%5D%5E2-n)
Thus, we get;
![f(3)=[f(3-1)]^2-3](https://tex.z-dn.net/?f=f%283%29%3D%5Bf%283-1%29%5D%5E2-3)
![f(3)=[f(2)]^2-3](https://tex.z-dn.net/?f=f%283%29%3D%5Bf%282%29%5D%5E2-3)


Thus, the value of f(3) is 1.
<u>The value of f(4):</u>
The value of f(4) can be determined by substituting n = 4 in the function ![f(n)=[f(n-1)]^2-n](https://tex.z-dn.net/?f=f%28n%29%3D%5Bf%28n-1%29%5D%5E2-n)
Thus, we get;
![f(4)=[f(4-1)]^2-4](https://tex.z-dn.net/?f=f%284%29%3D%5Bf%284-1%29%5D%5E2-4)
![f(4)=[f(3)]^2-4](https://tex.z-dn.net/?f=f%284%29%3D%5Bf%283%29%5D%5E2-4)


Thus, the value of f(4) is -3.
Answer:

Step-by-step explanation:
step 1
Find the area of complete circle
The area of the circle is given by the formula

we have

substitute


step 2
Find the area of the shaded region
we know that
The area of complete circle subtends a central angle of 360 degrees
so
using proportion
Find out the area of the shaded region if the central angle is equal to 80 degrees
