Answer:
Dimensions will be
Length = 7.23 cm
Width = 7.23 cm
Height = 9.64 cm
Step-by-step explanation:
A closed box has length = l cm
width of the box = w cm
height of the box = h cm
Volume of the rectangular box = lwh
504 = lwh

Sides which involve length and width and height, cost = 3 cents per cm²
Top and bottom of the box costs = 4 cents per cm²
Cost of the sides
= 3[2(l + w)h] = 6(l + w)h
= 3[2(l + w)h]

Cost of the top and the bottom
= 4(2lw) = 8lw
Total cost of the box C =
+ 8lw
=
+ 8lw
To minimize the cost of the sides


---------(1)


-------(2)
Now place the value of w from equation (1) to equation (2)


l³ = 378
l = ∛378 = 7.23 cm
From equation (2)


w = 7.23 cm
As lwh = 504 cm³
(7.23)²h = 504

h = 9.64 cm
Answer:
8
Step-by-step explanation:
3( 2 + 2 ) - 4
3( 4 ) - 4
12-4
8
Answer:
The coordinates of B are (-2 , 9)
Step-by-step explanation:
A (8, 4)
M (3 , -1)
To calculate a midpoint you have to add the corresponding coordinates of each point and divide them by 2
(Ax + Bx) / 2 = Mx
(8 + Bx) / 2 = 3
8 + Bx = 3 * 2
Bx = 6 - 8
Bx = -2
(Ay + By) / 2 = My
( -1 + By) / 2 = 4
-1 + By = 4 * 2
By = 8 + 1
By = 9
The coordinates of B are (-2 , 9)
The vertex of f
(
x
) is at x = −
8/
2
= −
4