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4 years ago

Which of the following shapes has an apex? Select all that apply.

Mathematics

2 answers:

Norma-Jean [14]4 years ago

7 0

Answer:

B. Cone,

E. Pyramid.

Step-by-step explanation:

We are asked to choose the shapes which have an apex.

We know that apex is the highest point of a shape and it is directly above the base of a figure.

Let us check our given choices one by one.

A. Sphere:

We know that sphere is rounded from each side, so it can not have an apex.

B. Cone:

We know that a cone has an apex directly above its base, therefore, option B is the correct choice.

C. Cylinder:

We know that cylinder is a circular shape and it has no apex, therefore, cylinder is not a correct choice.

D. Cube:

We know that cube is a three dimensional figure, whose each side is equal, therefore, cube is not a correct choice either.

E. Pyramid:

Since pyramid's vertices meet directly above its base, therefore, pyramid is the correct choice.

4vir4ik [10]4 years ago

6 0

The answer is a cone and a pyramid!

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what are the solutions of the equation x4 95x2 – 500 = 0? use factoring to solve. and x = ±10 and x = ±10i and x = ±10i and x =

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Doing factorization, we know that the factors of the given equation are ±√5 and ±10i.

<h3>What is Factorization?</h3>

In mathematics, factorization or factoring consists of writing a number or any mathematical item as a product of several factors, typically small or easier objects of the same.

For example, 3 × 5 is a factorization of an integer 15 and is a factorization of an equation x² – 4.

So, we have the equation:

x⁴ + 95x² – 500 = 0

Factorizing the above equation:

x⁴ + 100x² - 5x² - 500 = 0

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(x² - 5)(x² + 100) = 0

Solving further:

x² = 5

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Factors: ±√5 and ±10i

Therefore, doing factorization, we know that the factors of the given equation are ±√5 and ±10i.

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Complete question:
What are the solutions of the equation x4 + 95x2 – 500 = 0? Use factoring to solve.

x=+- sqrt 5 and x = ±10

x=+- sqrt i5 and x = ±10i

x=+- sqrt 5 and x = ±10i

x=+- sqrt i5 and x = ±10

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Answer:

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According to my graphing calculator, e^1.5=4.5 which is rounded to the nearest tenth.

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Step-by-step explanation:

Given:

We need to find the value of function at x=1.5

Put x=1.5 into f(x)

Now we will verify the result using graph.

First we draw the graph of f(x) and a vertical line x=1.5

Please see the attachment for graph.

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