Answer:
80000 square meters
Step-by-step explanation:
perimeter + dividing fence = 800
let a = length
let b = width
let c = length of dividing fence
perimeter = 2*a + 2*b
let's say...
c is the same as the length
2a + 2b + c = 800
2a + 2b + a = 800
3a + 2b = 800
area = length*width
area = a*b
area / b = a
3*(area/b) + 2b = 800
3*(area/b) = 800 - 2b
area/b = (800 - 2b)
area = (800 - 2b)*b
To make the area large, we make the right hand side large.
800b - 2b^2
If you put in terms of x, y it looks like a downward opening parabola, so the max area is at the vertex. Half way between the roots.
y = -2x^2 + 800x
y = -x^2 + 400x
0 = x*(-x + 400)
roots are x= 0 and x = 400
vertex is at x, aka b = 200
area at b=200 is (800 - 400)*200 = 80000
and a is area/b... 80000/400 = 200
Answer:
3/6x • 4/6x
12/6x
2x
Step-by-step explanation:
you would change both fractions to have the same denominator then simplify if needed
Answer:
A
Step-by-step explanation:
I think I am not sure I just started to do this in school...
Answer:
(x + 1)² + 4
Step-by-step explanation:
the equation of a parabola in vertex form is
y = a (x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
to obtain this form use the method of completing the square
• add/subtract (half the coefficient of the x-term)² to x² + 2x
= x² + 2(1)x + 1 - 1 + 5
= (x + 1)² + 4 ← the second option