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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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Leokris [45]

Just as you would do it with any other number.

Write out some of it, then move the decimal point 3 places this way <=== .

Some of pi :                   3.14159 

Divide by 1,000 :     0.00314159

8 0
3 years ago
Braceleftzf y = 8/7 x − 2/3 <br> 8/3 x + y = 5/9
givi [52]

Answer:

  (x, y) = (77/240, -3/10)

Step-by-step explanation:

It is convenient to write the equations in standard form.

Multiplying the first equation by 21 gives ...

  21y = 24x -14

Multiplying the second equation by 8 gives ...

  24x +9y = 5

Then the system of equations in standard form is ...

  • 24x -21y = 14
  • 24x +9y = 5

Subtracting the first from the second, we get ...

  (24x +9y) -(24x -21y) = (5) -(14)

  30y = -9

  y = -9/30 = -3/10

Substituting this into the second equation, we have ...

  24x +9(-3/10) = 5

  24x = 7.7 . . . . . . . add 27/10

  x = 7.7/24 = 77/240

The solution is (x, y) = (77/240, -3/10).

7 0
3 years ago
roger stan and steve have a standard deck of cards each of them draw a card from the deck find the probability of roger drawing
tatiyna

roger

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5 0
3 years ago
Helpppp.............m..​
enot [183]

Answer: 135*

Step-by-step explanation:

35* is what the bottom left side of the triangle angle equals because of congruency.

All triangles = 180*

180 - 100 - 35 = 45*

top angle of triangle = 45 *

said angle (45) +  x angle = 180

x = 135*

7 0
3 years ago
A ball is thrown vertically upwards with an initial velocity of 22 m/s. When will its speed be 10
gogolik [260]

Answer:

<em>The ball's speed will be 10 m/s at t=1.22 seconds</em>

Step-by-step explanation:

The vertical motion of an object is controlled by the force of gravity. This means that there is a non-zero net force acting on the object that makes it accelerate downwards.

If the object is thrown upwards at speed vo, its speed at time t is:

v_f=v_o-g.t

Where g is the acceleration of gravity g=9.8 m/s^2.

Our ball is thrown upwards with v0=22 m/s. We need to calculate the time when its speed is vf=10 m/s.

Solving the above equation for t:

\displaystyle t=\frac{v_o-v_f}{g}

Substituting:

\displaystyle t=\frac{22-10}{9.8}=\frac{12}{9.8}

t=1.22 seconds

The ball's speed will be 10 m/s at t=1.22 seconds

8 0
3 years ago
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