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4 years ago

50 POINTS PLEASE HELP!!!! A rectangular pyramid is sliced parallel to its base as shown in the figure.

Mathematics

1 answer:

Tresset [83]4 years ago

7 0

Answer:

D. Rectangle

Step-by-step explanation:

The base of the Pyramid is a rectangle and you know that the plane that intersects the pryamid is parallel to its base. So the cross section will be also a rectangle.

If you take z=0 (floor or the pyramid base)

Put the plane in z=0 the cross section will be the rectangular base. it is also parellel to the base

Now start to move the plane on the Z axis the cros section will continue to be a rectangle is just is section that changes.

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Factor the greatest common factor from the polynomial 3x^2 + 6x -9

ryzh [129]

Answer:

$3(x+3)(x -1)$

Step-by-step explanation:

$3x^2 + 6x -9$

All the terms in this polynomial are divisible by 3. Factor 3 out of this polynomial:

$= 3(x^2 + 2x -3)$

Now, factor inside the parentheses by grouping:

$= 3(x^2 -1x+3x -3)$

We knew to split the +2x up into -1x and 3x because -1 and 3 multiply to get -3, which is the last value in the polynomial.

$= 3(x(x -1)+3(x -1))\\= 3(x+3)(x -1)$

Therefore, the final factored polynomial is $3(x+3)(x -1)$ .

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