Slope intercept form is y=mx+b
m=slope
b=y intercept
changing 2x+3y=1470 to sloepe intercept form is solving for y
minus 2x both sides and dvide by 3

the slope is -2/3
the y intercept is y=490 or the point (0,490)
to graph it, I would start at the origin and go up 490 units on the y axis and put a point there
then go -2 units up (2 down) and 3 to the right and put a point there
then connect the 2 points with a line
the graph represents the possible x and y values so tha tthe profit is 1470
in function notation, replace y with f(x) to get

graph below
intercepts labeled
2x+3y=1593
they are similar because they have the same slope
the equation is

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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.
Some parallelograms have 2 obtuse and 2 acute angles.
Parallelograms may have all 90 degree angles as well. These are also called rectangles.
When you "bend" a rectangle it naturally forms 2 acute and 2 obtuse angles.
Answer:
Step-by-step explanation:
Yes