Answer:
length = 200 m
width = 400 m
Step-by-step explanation:
Let the length of the plaing area is L and the width of the playing area is W.
Length of fencing around three sides = 2 L + W = 800
W = 800 - 2L ..... (1)
Let A is the area of playing area
A = L x W
A = L (800 - 2L)
A = 800 L - 2L²
Differentiate with respect to L.
dA/dL = 800 - 4 L
It is equal to zero for maxima and minima
800 - 4 L = 0
L = 200 m
W = 800 - 2 x 200 = 400 m
So, the area is maximum if the length is 200 m and the width is 400 m.
Answer:
u = 7
Step-by-step explanation:
Using the slope intercept formula:
Substitute our values from the points and the known slope:
Now we multiply both sides by (8 - u) to isolate the x:
(8-u) x 
= -7 (8 - u)
Next we add 56 to both sides:
-7 = -56 + 7u
Finish off by dividing both sides by 7:
7u = 49
u = 7
Answer:
The year 2020 is a leap year, which means February will have 29 days rather than 28, and the overall number of days will be 366 rather than 365. This was also the case in 2016, and the year 2024 will be a leap year once more.
Step-by-step explanation:
I will get you started.
x^2+4x-4 = 8
x^2 + 4x - 4 - 8 = 0
x^2 + 4x - 12 = 0
You must now use the quadratic formula.
In the formula, a = 1, b = 4, and c = -12.
Take it from here.
