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Keith_Richards [23]
3 years ago
11

How do you know if two line segments are parallel?

Mathematics
2 answers:
salantis [7]3 years ago
6 0

For this case we have that by definition the equation of a line in its generic form is given by:

y = m1x + b1\\y = m2x + b2

Then, by definition, when the lines are parallel, their slopes are equal. This means that it is met:

m1 = m2

The lines can have the same or different intersection with the vertical axis.

Answer:

D. Their slopes are equal

Annette [7]3 years ago
3 0
D is correct.This is because these lines will never intersect
<span>Their slopes are equal
</span>Their slopes are the same!

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Plutonium-240 decays according to the function L where o
PIT_PIT [208]

Answer:

\boxed{\textbf{1700 yr}}

Step-by-step explanation:

-\dfrac{\text{d}L}{\text{d}t} = kL\\\\\dfrac{dL}{L}=-kdt\\\\\ln L = -kt + C\\\text{At t = 0, L = L$_{0}$, so C = $\ln L_{0}$}\\\ln L = -kt + \ln L_{0}\\\ln L_{0} - \ln L = kt\\\\\ln \dfrac{L_{0}}{L} =kt

Data:

L₀ = 24 g

L = 20 g

k = 0.000 11 yr⁻¹

Calculation:

\ln \dfrac{24}{20} =0.000 11t\\\\\ln 1.2 = 0.000 11t\\\\0.1823 = 0.000 11t\\\\t = \dfrac{0.1823}{0.000 11} = \textbf{1700 yr}\\\\\text{It will take } \boxed{\textbf{1700 yr}}\text{ for the polonium to decay to 20 g}

8 0
3 years ago
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Dmitry_Shevchenko [17]

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Step-by-step explanation:

5 0
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Ludmilka [50]
A. y=180-15m
m is the number of months. 180 is the amount owed after the down payment was made.
B. X intercept (12,0)
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3 years ago
Solve Inequality <br> -14x &gt; -112
den301095 [7]

Answer:

x <8

Step-by-step explanation:

-14x > -112

Divide each side by -14.  Remember that flips the inequality

-14x/-14 < -112/-14

x <8

8 0
3 years ago
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Step-by-step explanation please<br> (Worth 3 marks)
atroni [7]

Answer:

62°

Step-by-step explanation:

180-118=62

62+62=124

180-124=56

118-56=62

5 0
3 years ago
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