B/parallel lines. This is because:
equation a) y=-2x+6
equation b) 3y=-6x+18 or if you divide by 3 on both sides y=-2x+6 (so actually they're effectively the same line)
Plug in A = 13
Add 1 to both sides:
Divide 2 to both sides:
Find the cube root of both sides:
![\sf~b=\sqrt[3]{7}](https://tex.z-dn.net/?f=%5Csf~b%3D%5Csqrt%5B3%5D%7B7%7D)
The optimum shape of such a box is half a cube. The corresponding cube will have a volume of 2×256 ft³ = 512 ft³ = (8 ft)³. Such a box has a square base that is 8 ft on a side. If the height is half that of the cube, it will be 4 ft.
The dimensions of your box will be 8 ft square by 4 ft high.
_____
If the base dimension is x ft, the area (quantity of material) is
... a = x² + 4x(256/x²)
... a = x² + 1024x⁻¹
Then the derivative of area with respect to x is
... a' = 2x -1024x⁻²
Setting this derivative to zero and solving for x gives the value of x for minimum area.
... 0 = 2x -1024/x²
... 512 = x³
... x = 8 . . . . . . . . same as above.
35+(-10)= 25
Hope i helped!
Answer:
I think PR = 20 but I'm not sure
