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stiks02 [169]
2 years ago
6

the definition of parallel lines requires the undefined terms line and plane by the definition of perpendicular lines requires t

he undefined terms of line and point. what charcteristics of these geometric figures create the different requirements? ​
Mathematics
1 answer:
pashok25 [27]2 years ago
6 0

Answer:

Parallel lines never intersect, but they must be in the same plane. The definition does not require the undefined term point, but it does require plane. Because they intersect, perpendicular lines must be coplanar; consequently, plane is not required in the definition.

Step-by-step explanation:

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Rewrite the expression in the form y^n
bazaltina [42]

Answer:

$ y^6 $

Step-by-step explanation:

$ \frac{a^b}{a^c} = a^{b - c} $

Using this rule we have:

$ \frac{y^{-7}}{y^{-13}}  = y^{-7 -(-13)} = y^6$

6 0
3 years ago
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According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 15x11 – 6x8 + x3 – 4x + 3?
scoundrel [369]

we have

f(x) = 15x^{11} -6x^{8} + x^{3} - 4x + 3

we know that

<u>The Rational Root Theorem</u> states that when a root 'x' is written as a fraction in lowest terms

x=\frac{p}{q}

p is an integer factor of the constant term, and q is an integer factor of the coefficient of the first monomial.

So

in this problem

the constant term is equal to 3

and the first monomial is equal to 15x^{11} -----> coefficient is 15

So

possible values of p are 1, and\ 3

possible values of q are 1, 3, 5, and\ 15

therefore

<u>the answer is</u>

The all potential rational roots of f(x) are

(+/-)\frac{1}{15},(+/-)\frac{1}{5},(+/-)\frac{1}{3},(+/-)\frac{3}{5},(+/-)1,(+/-)3


3 0
3 years ago
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chloe and jack play 4 games. the probability that chloe wins any game is 4/5. what is the probability that chloe wins for the 1s
Iteru [2.4K]

\dfrac{1}{5}\cdot\dfrac{1}{5}\cdot\dfrac{1}{5}\cdot\dfrac{4}{5}=\dfrac{4}{625}

6 0
3 years ago
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Please help me
kirza4 [7]
This is a hexagonal prism: Volume = Area of Base (hexagon) x Height:
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Area of ONE equilateral triangle = (side x altitude)/2:
Area of ONE equilateral triangle = (12 x 6√3)/2 = 36√3 ft²
Area of the SIX equilateral triangles = 36√3 x 6 = 216√3 ft²
VOLUME = BASE X HEIGHT = 216√3 x 15 = 3240√3 ft³

OR VOLUME = 5612 ft³

6 0
3 years ago
This scatterplot shows the mean number of people per square mile in the US during every tenth year since 1900.
Salsk061 [2.6K]

Answer:

C is the closest estimate

6 0
2 years ago
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