<u>Answer-</u>
The equation that describes the pattern is,
![\boxed{\boxed{y=2{x}+30}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7By%3D2%7Bx%7D%2B30%7D%7D)
<u>Solution-</u>
P = Number of minutes Rodney spends practicing playing the piano
G = Number of minutes Rodney spends practicing playing the guitar
Taking P on x axis and G on y axis, the points are,
![(0,30),(15,60),(30,90),(45,120)](https://tex.z-dn.net/?f=%280%2C30%29%2C%2815%2C60%29%2C%2830%2C90%29%2C%2845%2C120%29)
Taking first two points i.e
, the line equation will be,
![\Rightarrow \dfrac{y-y_1}{y_2-y_1}=\dfrac{x-x_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7By-y_1%7D%7By_2-y_1%7D%3D%5Cdfrac%7Bx-x_1%7D%7Bx_2-x_1%7D)
![\Rightarrow \dfrac{y-30}{60-30}=\dfrac{x-0}{15-0}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7By-30%7D%7B60-30%7D%3D%5Cdfrac%7Bx-0%7D%7B15-0%7D)
![\Rightarrow \dfrac{y-30}{30}=\dfrac{x}{15}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7By-30%7D%7B30%7D%3D%5Cdfrac%7Bx%7D%7B15%7D)
![\Rightarrow 15(y-30)=30{x}](https://tex.z-dn.net/?f=%5CRightarrow%2015%28y-30%29%3D30%7Bx%7D)
![\Rightarrow y-30=2{x}](https://tex.z-dn.net/?f=%5CRightarrow%20y-30%3D2%7Bx%7D)
![\Rightarrow y=2{x}+30](https://tex.z-dn.net/?f=%5CRightarrow%20y%3D2%7Bx%7D%2B30)
Putting the other two points i.e
in the equation, they also satisfy the equation. That means they are also on the same line
.
From the result, it is evident that P and G are linearly related.
Cos (πt - 1) oscilates periodically between -1 and +1.
3Cos (πt - 1) oscilates periodically between -3 and +3.
The x-axis is the middle line. The equation of the x-axis is y = 0.
So the, the middle line is y=0.
For this case, the area is given by:
A = x * (200-2x)
Rewriting:
A = 200x-2x ^ 2
Deriving the expression we have:
A '= 200-4x
Equaling zero we have:
200-4x = 0
We clear x:
4x = 200
x = 200/4
x = 50 feet
Then, the maximum area is:
A (50) = 50 * (200-2 * 50)
A (50) = 5000 feet ^ 2
Answer:
the maximum possible area that can be enclosed with his 200ft of fencing is:
A (50) = 5000 feet ^ 2
Answer:
-5g
Step-by-step explanation: