The area of the composite figure is ![40 in^2](https://tex.z-dn.net/?f=40%20in%5E2)
Explanation:
From the given figure, we can see that the area of the composite figure = area of the rectangle + area of the triangle.
Area of the rectangle
:
The formula is given by
![A_1=length\times width](https://tex.z-dn.net/?f=A_1%3Dlength%5Ctimes%20width)
where
and ![width = 5](https://tex.z-dn.net/?f=width%20%3D%205)
Substituting, we have,
![A_1=7\times 5=35 in^{2}](https://tex.z-dn.net/?f=A_1%3D7%5Ctimes%205%3D35%20in%5E%7B2%7D)
Thus, the area of the rectangle = ![35 i n^{2}](https://tex.z-dn.net/?f=35%20i%20n%5E%7B2%7D)
Area of the triangle
:
The formula is given by
![A_2=\frac{1}{2} bh](https://tex.z-dn.net/?f=A_2%3D%5Cfrac%7B1%7D%7B2%7D%20bh)
where ![b=5-3=2 i n](https://tex.z-dn.net/?f=b%3D5-3%3D2%20i%20n)
and ![h=12-7=5 \text { in }](https://tex.z-dn.net/?f=h%3D12-7%3D5%20%5Ctext%20%7B%20in%20%7D)
Substituting, we have,
![A_2=\frac{1}{2} (2)(5)\\A_2=5 in ^{2}](https://tex.z-dn.net/?f=A_2%3D%5Cfrac%7B1%7D%7B2%7D%20%282%29%285%29%5C%5CA_2%3D5%20in%20%5E%7B2%7D)
Thus, the area of the triangle = ![5in ^{2}](https://tex.z-dn.net/?f=5in%20%5E%7B2%7D)
Area of the composite figure = Area of the rectangle + area of the triangle
Area of the composite figure = ![35 i n^{2}+5 i n^{2}=40 i n^{2}](https://tex.z-dn.net/?f=35%20i%20n%5E%7B2%7D%2B5%20i%20n%5E%7B2%7D%3D40%20i%20n%5E%7B2%7D)
Thus, the area of the composite figure is ![40 in^2](https://tex.z-dn.net/?f=40%20in%5E2)
It's a kite or a rhombus.
(2x² + 7x + 10) - (x² + 2x - 9) =
2x² + 7x + 10 - x² - 2x + 9 =
x² + 5x + 19
Answer:
I would love to help you but were just getting into this subject
Step-by-step explanation:
Answer:
f(-3) = -1
g(-3) = 14
Step-by-step explanation:
plug -3 for x to get the answer