Answer:
525 x 1,050
A = 551,250 m²
Step-by-step explanation:
Let 'L' be the length parallel to the river and 'S' be the length of each of the other two sides.
The length of the three sides is given by:
![2S+L=2,100\\ L=2100-2S](https://tex.z-dn.net/?f=2S%2BL%3D2%2C100%5C%5C%20L%3D2100-2S)
The area of the rectangular plot is given by:
![A=S*L\\A=S(2100-2S)\\A=2100 S -2S^2](https://tex.z-dn.net/?f=A%3DS%2AL%5C%5CA%3DS%282100-2S%29%5C%5CA%3D2100%20S%20-2S%5E2)
The value of 'S' for which the area's derivate is zero, yields the maximum total area:
![\frac{dA(S)}{dS}=\frac{d(2100 S -2S^2)}{dS}\\0= 2100 - 4S\\S=525](https://tex.z-dn.net/?f=%5Cfrac%7BdA%28S%29%7D%7BdS%7D%3D%5Cfrac%7Bd%282100%20S%20-2S%5E2%29%7D%7BdS%7D%5C%5C0%3D%202100%20-%204S%5C%5CS%3D525)
Solving for 'L':
![L=2100-(2*525)\\L=1,050](https://tex.z-dn.net/?f=L%3D2100-%282%2A525%29%5C%5CL%3D1%2C050)
The largest area enclosed is given by dimension of 525 m x 1,050 and is:
![A = 525*1,025\\A=551,250\ m^2](https://tex.z-dn.net/?f=A%20%3D%20525%2A1%2C025%5C%5CA%3D551%2C250%5C%20m%5E2)
We saw under Functional Notation that y = 3x + 2 and f (x) = 3x + 2 can be interpreted as equivalent notations, where y has been replaced by f (x), or y = f (x). In y = 3x + 2, we see “y as a function of x”
Answer:
3/2
Step-by-step explanation:
The equation 3x-2y=4 can be written in the form of y=mx+c where m is the slope and c is the y intercept.
Therefore
2y=3x-4 and dividing both sides by 2 to have y at the LHS
y=3/2x-2
Therefore, 3/2 represents the gradient/slope
Answer: 6
Step-by-step explanation: