The owner of the Rancho Bar X wishes to use 2400 yards of fencing to enclose a rectangular piece of grazing land along the straight portion of a river and then subdivide it into two parts by means of a piece of fencing perpendicular to the riverbank. No fencing is required along the river. What is the largest area that can be enclosed and what are its dimensions

Step-by-step explanation:

Let length be x and breadth be y .

Along the river no fencing is required so total boundary line of the rectangular land = x + y + y = x + 2y

add divider to it so total length

= x + 2y + y = x + 3y

x + 3y = 2400

area A = xy

y ( 2400 - 3y ) = A

2400y - 3y² = A

For maximum area dA / dy = 0

2400 - 6y = 0

y = 400 yards.

x = 1200 yards

largest area = xy

= 48000 sq yards.

answer: 40.95

step-by-step explanation:

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: