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Mrrafil [7]
3 years ago
8

Elena packed 48 cubes into this box each Cube has edges that are 1 centimeter how many layers of Cubes did Elena make

Mathematics
1 answer:
Rom4ik [11]3 years ago
6 0
48 x 2 = 96 so 96 x 1 = 96                                             96 is ur answer

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Find the equation of the plane passing through the points
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Extract the normal vectors from the given planes:

-2x+y+z+2=0\implies\vec n_1=(-2,1,1)

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(which are unique up to their signs, meaning either \vec n_1 or -\vec n_1 are valid choices for the normal vector)

The third plane must be perpendicular to both these given planes, which means it would be parallel to both \vec n_1 and \vec n_2, which in turn means its own normal vector \vec n_3 should be perpendicular to both \vec n_1 and \vec n_2.

Enter the cross product:

\vec n_3=\vec n_1\times\vec n_2=(-4,-5,-3)

or (4, 5, 3), which also works.

The given plane passes through (-1, 1, 4), so its equation is

(x+1,y-1,z-4)\cdot\vec n_3=0

Simplify:

(x+1,y-1,z-4)\cdot(4,5,3)=0

4(x+1)+5(y-1)+3(z-4)=0

\boxed{4x+5y+3z=13}

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3 years ago
The polynomial x^2-(k+1)x-3 has a factor (x-k+1). find k
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p

Step-by-step explanation:

please help some one I also need help on this

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