Answer:
x²-8x+16
Step-by-step explanation:
Take g(x) and plug that equation in for x in f(x)
f(g(x))= (x-4)²
=(x-4)(x-4)
FOIL
=x²-8x+16
Answer:
![End = (4, 9)](https://tex.z-dn.net/?f=End%20%3D%20%284%2C%209%29)
Step-by-step explanation:
Given
![Start = (2,6)](https://tex.z-dn.net/?f=Start%20%3D%20%282%2C6%29)
Transformation: 2 units right and 3 units down
Required
The new point
First, we take the right translation;
When a point is translated right by 2 units, the rule is:
![(x,y) \to (x + 2, y)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%28x%20%2B%202%2C%20y%29)
So, we have:
![(2,6) \to (2 + 2, 6)](https://tex.z-dn.net/?f=%282%2C6%29%20%5Cto%20%282%20%2B%202%2C%206%29)
![(2,6) \to (4, 6)](https://tex.z-dn.net/?f=%282%2C6%29%20%5Cto%20%284%2C%206%29)
Next, we take the down translation;
When a point is translated down by 3 units, the rule is:
![(x,y) \to (x, y + 3)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%28x%2C%20y%20%2B%203%29)
So, we have:
![(4,6) \to (4, 6+3)](https://tex.z-dn.net/?f=%284%2C6%29%20%5Cto%20%284%2C%206%2B3%29)
![(4,6) \to (4, 9)](https://tex.z-dn.net/?f=%284%2C6%29%20%5Cto%20%284%2C%209%29)
Hence, the endpoint is:
![End = (4, 9)](https://tex.z-dn.net/?f=End%20%3D%20%284%2C%209%29)
Answer:
8820.26 m^2
Step-by-step explanation:
The diameter is 106
The radius is 1/2 of the diameter
1/2 ( 106) = 53
The area of a circle is
A = pi r^2
= (3.14) ( 53)^2
= 8820.26 m^2