Answer:
94 cm2
Step-by-step explanation:
Base x Width x height
4 x 5 x 3
The line y = x and y = -x + 4 intersect when at the point (2, 2).
Expresing y = -x + 4 in terms of x, we have x = 4 - y.
Thus, the area of the region bounded by the <span>graphs of y = x, y = −x + 4, and y = 0 is given by
![\int\limits^2_0 {(y-(4-y))} \, dy = \int\limits^2_0 {(y-4+y)} \, dy \\ \\ = \int\limits^2_0 {(2y-4)} \, dy= \left[y^2-4y\right]_0^2 =|(2)^2-4(2)| \\ \\ =|4-8|=|-4|=4](https://tex.z-dn.net/?f=%20%5Cint%5Climits%5E2_0%20%7B%28y-%284-y%29%29%7D%20%5C%2C%20dy%20%3D%20%5Cint%5Climits%5E2_0%20%7B%28y-4%2By%29%7D%20%5C%2C%20dy%20%5C%5C%20%20%5C%5C%20%3D%20%5Cint%5Climits%5E2_0%20%7B%282y-4%29%7D%20%5C%2C%20dy%3D%20%5Cleft%5By%5E2-4y%5Cright%5D_0%5E2%20%3D%7C%282%29%5E2-4%282%29%7C%20%5C%5C%20%20%5C%5C%20%3D%7C4-8%7C%3D%7C-4%7C%3D4)
Therefore, the area bounded by the lines is 4 square units.
</span>
Answer:
Did you still need the answers? If so, I can put them in the comments of this answer.
Answer:
Lets calculate the value for each expression to get the answers
f(x) = x² + 6x + 9
g(x) = x² - 9
(f+g)(x) = x² + 6x + 9 + x² - 9
(f+g)(x) = 2x² + 6x
(f+g)(x) = 2x(x + 3)
(f-g)(x) = x² + 6x + 9 - (x² - 9)
(f-g)(x) = x² + 6x + 9 - x² + 9
(f-g)(x) = 6x + 18
(f-g)(x) = 6(x + 3)
(f×g)(x) = (x² + 6x + 9)(x² - 9)
(f×g)(x) = x⁴ - 9x² + 6x³ - 54x + 9x² - 81
(f×g)(x) = x⁴ + 6x³ - 54x - 81
(f÷g)(x) = (x² + 6x + 9) / (x² - 9)
(f÷g)(x) = (x+3)(x+3) / (x+3)(x-3)
(f÷g)(x) = (x+3)/(x-3)
Answer:
Hope this helps!
Step-by-step explanation:
1. Do all of the homework. ...
2. Fight not to miss class. ...
3. Find a friend to be your study partner. ...
4. Establish a good relationship with the teacher. ...
5. Analyze and understand every mistake. ...
6. Get help fast. ...
7. Don't swallow your questions. ...
8. Basic skills are essential.