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aivan3 [116]
3 years ago
15

On a coordinate plane, 2 lines are shown. Line P Q has points (negative 5, 3) and (5, 1). Line R S has points (negative 4, negat

ive 2) and (0, negative 4).
Which statement best explains the relationship between lines PQ and RS?
They are parallel because their slopes are equal.
They are parallel because their slopes are negative reciprocals.
They are not parallel because their slopes are not equal.
They are not parallel because their slopes are negative reciprocals.

Mathematics
2 answers:
Doss [256]3 years ago
8 0

Answer:

the correct answer is c

Step-by-step explanation:

Edu2020

Romashka-Z-Leto [24]3 years ago
3 0

Given:

Line P Q has points (-5, 3) and (5, 1).

Line R S has points (-4, -2) and (0, -4).

To find:

The relationship between lines PQ and RS.

Solution:

If a line passing through two points, then the slope of line is

m=\dfrac{y_2-y_1}{x_2-x_1}

Line P Q has points (-5, 3) and (5, 1). So, slope of line PQ is

m_1=\dfrac{1-3}{5-(-5)}

m_1=\dfrac{-2}{5+5}

m_1=\dfrac{-2}{10}

m_1=\dfrac{-1}{5}

Line R S has points (-4, -2) and (0, -4). So, slope of line RS is

m_2=\dfrac{-4-(-2)}{0-(-4)}

m_2=\dfrac{-4+2}{0+4}

m_2=\dfrac{-2}{4}

m_2=\dfrac{-1}{2}

Slopes of two parallel lines are equal.

m_1\neq m_2

They are not parallel because their slopes are not equal.

Therefore, the correct option is C.

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Answer:

0.164 = 16.4% probability that at least one color will be missing from the 10 selected balls.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

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Red missing:

Each time, there are 55 + 25 = 80 non-red balls, out of 100. So, in each of the 10 trials, 80% = 0.8 probability of not picking a red ball. The probability that no red ball is picked is given by:

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Total:

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