Answer:
![y = \frac{1}{3}x-4](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B3%7Dx-4)
Step-by-step explanation:
<u>Step 1: Solve for y in the first equation</u>
![3y - x = -12](https://tex.z-dn.net/?f=3y%20-%20x%20%3D%20-12)
![3y - x + x = -12 + x](https://tex.z-dn.net/?f=3y%20-%20x%20%2B%20x%20%3D%20-12%20%2B%20x)
![\frac{3y}{3} = \frac{x}{3} - \frac{12}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B3y%7D%7B3%7D%20%3D%20%5Cfrac%7Bx%7D%7B3%7D%20-%20%5Cfrac%7B12%7D%7B3%7D)
![y = \frac{1}{3}x - 4](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B3%7Dx%20-%204)
<u>Step 2: Determine the important aspects</u>
We know that our line is parallel to the other line that has a slope of 1/3 which means that our slope is also going to be 1/3. We also know that our line crosses the point (18, 2) which means that we can use the point slope form to determine our equation
Point Slope Form → ![(y-y_1) = m(x - x_1)](https://tex.z-dn.net/?f=%28y-y_1%29%20%3D%20m%28x%20-%20x_1%29)
<u>Step 3: Plug in the information and solve</u>
![(y-2) = \frac{1}{3}(x - 18)](https://tex.z-dn.net/?f=%28y-2%29%20%3D%20%5Cfrac%7B1%7D%7B3%7D%28x%20-%2018%29)
![y - 2 = \frac{1}{3}x - 6](https://tex.z-dn.net/?f=y%20-%202%20%3D%20%5Cfrac%7B1%7D%7B3%7Dx%20-%206)
![y - 2 + 2 = \frac{1}{3}x - 6 + 2](https://tex.z-dn.net/?f=y%20-%202%20%2B%202%20%3D%20%5Cfrac%7B1%7D%7B3%7Dx%20-%206%20%2B%202)
![y = \frac{1}{3}x-4](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B3%7Dx-4)
Answer: ![y = \frac{1}{3}x-4](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B3%7Dx-4)
Answer:
<em>The value of y when x has a value of 9 is 18</em>
Step-by-step explanation:
<u>Functions</u>
The variables x and y are said to have a quadratic relationship. That information is not enough to set up a general equation for both variables.
Furthermore, we know that tripling the value of x causes the value of y to be multiplied by 9. That leads us to establish a proportional equation between them, as follows:
![y=kx^2](https://tex.z-dn.net/?f=y%3Dkx%5E2)
Where k is an unknown constant.
Let's use the given point (3,2) to find the value of k:
![2=k(3)^2](https://tex.z-dn.net/?f=2%3Dk%283%29%5E2)
![2=9k](https://tex.z-dn.net/?f=2%3D9k)
Solving for k:
![\displaystyle k=\frac{2}{9}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20k%3D%5Cfrac%7B2%7D%7B9%7D)
The equation is now:
![\displaystyle y=\frac{2}{9}x^2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%3D%5Cfrac%7B2%7D%7B9%7Dx%5E2)
Now find y when x=9:
![\displaystyle y=\frac{2}{9}(9)^2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%3D%5Cfrac%7B2%7D%7B9%7D%289%29%5E2)
![\displaystyle y=\frac{2}{9}\cdot 81=18](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%3D%5Cfrac%7B2%7D%7B9%7D%5Ccdot%2081%3D18)
The value of y when x has a value of 9 is 18
Shaded is 8.67
Circle A= pir^2
A= 3.14(4)(4)
A= 50.24
Hexagon
A= 1/2ap
1/2(4)(2sqrtof3)(6)
A= 41.569
50.24-41.569=8.671
Answer:
There is no formula for this.