Answer:
38.13 m²
Step-by-step explanation:
area of triangle = 1/2 base × height
= 1/2 × 4 × 3
= 6 m²
Area of rectangle = length × width
= 6 × 3
= 18m²
Area of semi circle = 180/360 × π × radius²
= 180/360 × 3.14 × 3²
= 14.13 m²
Add all the areas together
6 + 18 + 14.13 = 38.13
4squared 3, 3/4 is what I got
A) The intersection occurs at the same height 'y', so the y of each equation must be equal:
y=y implies <span>2−x = 8x+4. The solution is -2=9x, x = -2/9=2/3, and y = 20/9
(-2/9,20/9)
</span>
B)
X | Y1 | Y2
_____________
-3 5 -20
-2 4 -12
-1 3 -4
0 2 4
1 1 12
2 0 20
3 -1 28
C) I would draw each line with the values on the table. Where both lines cross is the intersection point. It should be (-2/9, 20/9)
I think the answer is (C. 25/24). Sorry if this does not help.
For this case, we must indicate which of the given functions is not defined for
By definition, we know that:
has a domain from 0 to infinity.
Adding or removing numbers to the variable within the root implies a translation of the function vertically or horizontally. For it to be defined, the term within the root must be positive.
Thus, we observe that:
is not defined, the term inside the root is negative when .
While 
if it is defined for 
![f(x)=\sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B3%5D%7Bx%7D)
, your domain is given by all real numbers.
Adding or removing numbers to the variable within the root implies a translation of the function vertically or horizontally. In the same way, its domain will be given by the real numbers, independently of the sign of the term inside the root.
So, we have:
![y = \sqrt [3] {x-2}](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%20%5B3%5D%20%7Bx-2%7D)
with x = 0: ![y = \sqrt [3] {- 2}](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%20%5B3%5D%20%7B-%202%7D)
is defined.
![y = \sqrt [3] {x + 2}](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%20%5B3%5D%20%7Bx%20%2B%202%7D)
with x = 0: ![y = \sqrt [3] {2}](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%20%5B3%5D%20%7B2%7D)
in the same way is defined.
Answer:
Option b
