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
Start the equation by putting the equations equal to each other 3x+14=7x-10
Next +10 on both sides
3x+14=7x-10
+10 +10
You are left with 3x+24=7x
because the 10's canceled each other out.
Next -3x on both sides
3x+24=7x
-3x +3x
You are left with 24= 10x
because like before the 3's canceled each other out
Now you will divide both sides by 10
24=10x
---- -----
10 10
2.4= X is the answer!
Answer:
(1,2)
Step-by-step explanation:
the st. lines 3x+4y=5 and 4x-3y=15 interrect at a point A(3, -1. On these linepoints B and C are chosen so that AB= AC. find the posible eqns of the lineBC pathrough the point
The answer is D because it shows the proper equations for both the number of people and the cost.
Sn = n/2 ( a1+an)
= 6/2 (10+85)
= 3 (95)
= 285
