2.5 hours i think but i might be wrong :)
Answer:
The area of the figure is 28 units².
Step-by-step explanation:
Find the area of the full rectangle, ignoring the triangle.
![a = lw \\ a = 4 \times 8 = 32](https://tex.z-dn.net/?f=a%20%3D%20lw%20%5C%5C%20a%20%3D%204%20%5Ctimes%208%20%3D%2032)
Then, find the area of the triangle:
![a = \frac{bh}{2} \\ a = \frac{2 \times 4}{2} \\ a = 4](https://tex.z-dn.net/?f=a%20%3D%20%20%5Cfrac%7Bbh%7D%7B2%7D%20%20%5C%5C%20a%20%3D%20%20%5Cfrac%7B2%20%5Ctimes%204%7D%7B2%7D%20%20%5C%5C%20a%20%3D%204)
Finally, subtract:
![32 - 4 = 28](https://tex.z-dn.net/?f=32%20-%204%20%3D%2028)
1) (-7)3
2) PEMDAS; simplify (5-3)
3) 5^3, 5x5x5 and 125
4) -8^4
5) 36
6) 7
7) -100
8) 30
There ya go! Pretty sure they're all right!
When you write a function in the form
, y is the dependent variable, and x is the independent variable.
So, if b is the independent variable, it means that we have to solve the expression for r.
To do so, we perform the following steps: start with
![16b = 4r - 12](https://tex.z-dn.net/?f=%2016b%20%3D%204r%20-%2012%20)
Add 12 to both sides
![16b+12 = 4r](https://tex.z-dn.net/?f=%2016b%2B12%20%3D%204r%20)
Divide both sides by 4:
![4b+3 = r](https://tex.z-dn.net/?f=%204b%2B3%20%3D%20r%20)
So, we wrote the expression in the form
, which means that r is the dependent variable and b is the independent variable, as requested.