Answer:
1250 m²
Step-by-step explanation:
Let x and y denote the sides of the rectangular research plot.
Thus, area is;
A = xy
Now, we are told that end of the plot already has an erected wall. This means we are left with 3 sides to work with.
Thus, if y is the erected wall, and we are using 100m wire for the remaining sides, it means;
2x + y = 100
Thus, y = 100 - 2x
Since A = xy
We have; A = x(100 - 2x)
A = 100x - 2x²
At maximum area, dA/dx = 0.thus;
dA/dx = 100 - 4x
-4x + 100 = 0
4x = 100
x = 100/4
x = 25
Let's confirm if it is maximum from d²A/dx²
d²A/dx² = -4. This is less than 0 and thus it's maximum.
Let's plug in 25 for x in the area equation;
A_max = 25(100 - 2(25))
A_max = 1250 m²
Answer:
Rate of change = 0.5
Initial value = 120
Step-by-step explanation:
(10 , 125) ; (30 , 135)
Slope = 
Rate of change = 0.5
Initial value = 120
Answer:
<h2>Midpoint (1 , 5)</h2>
Step-by-step explanation:
Let (x , y) be the coordinates of the midpoint then:
A is 40
B is 50
C is 115
Explanation, A is the same as the opposite, A + B + 90 = 180, and C + 65 = 180
Answer:
>
Step-by-step explanation:
5 is greater than the 
.
= 4.24264068712
...
<u>Hope this helps and have a nice day!</u>
