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4 years ago

If a convex polyhedron has 12 edges and 8 faces, then how many vertices does it have?

Mathematics

2 answers:

atroni [7]4 years ago

5 0

Answer:

6 Vertices

Step-by-step explanation:

The Euler Formula states that for any polyhedron, if you add together the number of faces(F) and vertices(V), and subtract the number of edges(E), the answer is always two:

F + V - E = 2

8 + V - 12 = 2

∴ V = 2 - 8 + 12 = 6

Vika [28.1K]4 years ago

4 0

Hi

Use Euler's formula for this for a 3D figure. F + V = E + 2, where F is the number of faces, V is the number of vertices, E is the number of edges, +2! You have enough info to fill in the formula to find that the number of vertices is 6.
Hoped I Helped

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3 years ago

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3 years ago

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snow_tiger [21]

Answer:

a If we make the parent function 2sqrt(x) then we translate to the left 4 units and up 5 units

Step-by-step explanation:

y = sqrt(4x+16) +5

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3 years ago

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Rudiy27

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Step-by-step explanation:

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3 years ago

What is the end behavior of a function that is a fraction whose polynomial numerator has a power degree than its polynomial deno

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Sign of the Leading Coefficient determines behavior of right side:

Positive: right side goes to positive infinity
Negative: right side goes to negative infinity

Degree of the function determines the behavior of the left side:

Odd degree: left side is opposite direction of right side
Even degree: left side is same direction as right side

If you have an expression in the denominator, then you must divide the denominator into the numerator. The result will have a degree and a leading coefficient. Use the rules stated above to determine the end behavior.

For example:

y = $\frac{x^{2}+2x-3}{x-1}$

We can factor to get: y = $\frac{(x-1)(x+3)}{(x-1)}$

y = x + 3

Leading Coefficient of y = x + 3 is positive so right side goes to positive infinity.

Degree of y = x + 3 is odd so left side is opposite direction of right side, which means left side goes to negative infinity.

The denominator may not divide evenly into the numerator thus leaving a remainder, but that is ok. We can still use the rules stated above.

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4 years ago