The answer is 4 units. The distance between the two points of B and C is equals 6-4=2, because the y is the same. According to the question, the BC is equals 0.5*B'C'. So the length of B'C' is 2/0.5=4 units.

3 0

3 years ago

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A sheet of cardboard 12 inches square is used to make an open box by cutting out squares of equal size from the four corners and

GrogVix [38]

Answer:

$x=6+3\sqrt{2}$ is the size of the square

Step-by-step explanation:

Let the side of the square cut from the cardboard be “x”

Size of the square base = $12 -2x$ , height of the box = x

Volume of square box = Area * height = $(12-2x)^2 * x$

Differentiating the above equation and equating it to zero, we get –

d/dx $((12-2x)^2 * x)$

d/dx ${(144 + 4x^2 -48x)*x}$ = d/dx $(144x + 4x^3 -48x^2)$

d/dx $(144x + 4x^3 -48x^2) = 0$

$144+8x^2-96X= 0\\18 +X^2-12X = 0$

On solving above equation, we get –

$x=6+3\sqrt{2} \\ x=6-3\sqrt{2}$

5 0

2 years ago

Which of the following is the correct expansion of the binomial (x + y)6?

Katen [24]

It would be 6x + 6y as the final expansion

7 0

2 years ago

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