- 38.79
- 3053.63
- 904.78
- 2544.69
- 226.19
- 402.12
- 1072.33
- 1526.81
- 28.73
- 113.1
- 3801.33
- 268.08
- 2094.4
- 75.4
- 94.25
- 37.7
- 1884.96
- 2065.24
- 19861.7
- 1385.44
- 287.98
- 4.19
- 3619.11
- 113.1
- 50.27
I did this really quick so I hope all the answers are right, and double check them if you have time just in case
Step-by-step explanation:
To find the y-coordinate points we need to evaluate the function for all the
values in the table. In other words, we need to replace
with each value in our given function and simplify.
- For x = 0
![f(x)=(x-2)^2-5](https://tex.z-dn.net/?f=f%28x%29%3D%28x-2%29%5E2-5)
![f(0)=(0-2)^2-5](https://tex.z-dn.net/?f=f%280%29%3D%280-2%29%5E2-5)
![f(0)=(-2)^2-5](https://tex.z-dn.net/?f=f%280%29%3D%28-2%29%5E2-5)
![f(0)=4-5](https://tex.z-dn.net/?f=f%280%29%3D4-5)
![f(x)=-1](https://tex.z-dn.net/?f=f%28x%29%3D-1)
Since
and
, our first point is (0, -1)
- For x = 1
![f(x)=(x-2)^2-5](https://tex.z-dn.net/?f=f%28x%29%3D%28x-2%29%5E2-5)
![f(1)=(1-2)^2-5](https://tex.z-dn.net/?f=f%281%29%3D%281-2%29%5E2-5)
![f(1)=(-1)^2-5](https://tex.z-dn.net/?f=f%281%29%3D%28-1%29%5E2-5)
![f(1)=1-5](https://tex.z-dn.net/?f=f%281%29%3D1-5)
![f(x)=-4](https://tex.z-dn.net/?f=f%28x%29%3D-4)
Our second point is (1, -4)
- For x = 2
![f(x)=(x-2)^2-5](https://tex.z-dn.net/?f=f%28x%29%3D%28x-2%29%5E2-5)
![f(2)=(2-2)^2-5](https://tex.z-dn.net/?f=f%282%29%3D%282-2%29%5E2-5)
![f(2)=(0)^2-5](https://tex.z-dn.net/?f=f%282%29%3D%280%29%5E2-5)
![f(x)=-5](https://tex.z-dn.net/?f=f%28x%29%3D-5)
Our third point is (2, -5)
- For x = 3
![f(x)=(x-2)^2-5](https://tex.z-dn.net/?f=f%28x%29%3D%28x-2%29%5E2-5)
![f(3)=(3-2)^2-5](https://tex.z-dn.net/?f=f%283%29%3D%283-2%29%5E2-5)
![f(3)=(1)^2-5](https://tex.z-dn.net/?f=f%283%29%3D%281%29%5E2-5)
![f(3)=1-5](https://tex.z-dn.net/?f=f%283%29%3D1-5)
![f(x)=-4](https://tex.z-dn.net/?f=f%28x%29%3D-4)
Our fourth point is (3, -4)
- For x = 4
![f(x)=(x-2)^2-5](https://tex.z-dn.net/?f=f%28x%29%3D%28x-2%29%5E2-5)
![f(4)=(4-2)^2-5](https://tex.z-dn.net/?f=f%284%29%3D%284-2%29%5E2-5)
![f(4)=(2)^2-5](https://tex.z-dn.net/?f=f%284%29%3D%282%29%5E2-5)
![f(4)=4-5](https://tex.z-dn.net/?f=f%284%29%3D4-5)
![f(x)=-1](https://tex.z-dn.net/?f=f%28x%29%3D-1)
Our fifth point is (4, -1)
Now we just need to plot each point in our coordinate plane and join them with the parabola as you can see in the attached picture.
Answer:
4. 8.0
5. 27.6
6. 35.5 degrees
Step-by-step explanation:
#4- Cos 48= x/12
0.669131= x/12
x=8.0
#5
Sin 78= 27/x
0.978=27/x
0.978x=27
x=27.6
#5
Tan X= 15/21
tan x= .714
inverse tan= 35.5 degrees
1. 12 feet = 144 inches
15 feet = 180 inches
144 inches / 8 inches = 18
180 inches / 10 inches = 18
The scale factor was 18.
2. Volume = Length x Width X height:
Volume = 16 x 13 x 11 = 2,288 cubic inches.