The dimensions of the box formed will be:
width: 20 - 2x
length: 40 - 2x
height: x
Volume = width x length x height
1500 = x(20 - 2x)(40 - 2x)
1500 = x(800 + 4x² - 120x)
1500 = 4x³ - 120x² + 800x
0 = 4x³ - 120x² + 800x - 1500
0 = x³ - 30x² + 200x - 375
Solving the cubic equation:
x = 5 (only integer root)
Length = 30 cm
Width = 10 cm
Height = 5 cm
Answer:// Solve equation [1] for the variable y
[1] y = 2x - 3
// Plug this in for variable y in equation [2]
[2] -2•(2x-3) + 2x = 2
[2] - 2x = -4
// Solve equation [2] for the variable x
[2] 2x = 4
[2] x = 2
// By now we know this much :// Solve equation [1] for the variable y
[1] y = 2x - 3
// Plug this in for variable y in equation [2]
[2] -2•(2x-3) + 2x = 2
[2] - 2x = -4
// Solve equation [2] for the variable x
[2] 2x = 4
[2] x = 2
// By now we know this much :
y = 2x-3
x = 2
// Use the x value to solve for y
y = 2(2)-3 = 1
y = 2x-3
x = 2
// Use the x value to solve for y
y = 2(2)-3 = 1
Step-by-step explanation:
Answer:
150
Step-by-step explanation:
because acute angle is less than 90 degree
The expression is (2x2)+5
