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N76 [4]
2 years ago
7

Identify the cross section that results from slicing the three-dimensional figure.

Mathematics
1 answer:
lorasvet [3.4K]2 years ago
4 0
<h3>Answer: C) Square </h3>

Explanation:

You have the correct answer. The blue plane is basically a knife that cuts the pyramid into two pieces. The top portion is a smaller similar pyramid (same shape, smaller size). The bottom portion is a pyramidal frustum.

Where the cut happens in the blue plane, a square forms. This square is the base of the upper pyramid and the roof of the frustum.

We can think of the blue stuff like water. Then allow that water to freeze to form a block of ice. Then carefully slide the block of ice upward and there should be a square hole in the center. So this is another way to see how we have a square cross section. The square cross section is due to the pyramid's base being a square. This means that if we had say a hexagonal base, then the cross section would be hexagonal.

All of this only applies if the cutting plane is parallel to the base of the pyramid.

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What are the zeros of the polynomial function f(x)=x^3-2x^2-8x?
Rashid [163]

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Set the equation equal to zero.

x³ - 2x² - 8x = 0

Factor out x in the equation, since all the terms (x³, -2x², and -8x) are divisible by x. You can check your accuracy using the Distributive Property.

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Factor out the polynomial. To do this, find two numbers that multiply to get the last term, -8, and add together to get the middle term, -2. In this case, those two numbers are -4 and 2 (-4 × 2 = -8 and -4 + 2 = -2). Don't forget about the x that was factored out before!

x(x - 4)(x + 2) = 0

Set each factor equal to zero and solve for x. The factors in the equation are x, (x - 4), and (x + 2).

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The zeros of the polynomial function are -2, 0, and 4.

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3 years ago
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