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aivan3 [116]
2 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]2 years ago
8 0

Answer:

the correct answer is c

Step-by-step explanation:

Edu2020

Romashka-Z-Leto [24]2 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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alukav5142 [94]

Answer: Each bow needs 4.67 yards of ribbon.

Step-by-step explanation:

We know that each roll has 20 yd.

She used 3 + 1/2 rolls, then the total length used will be (3 + 1/2) times the length of each roll, this is:

(3 + 1/2)*20 yd = (6/2 + 1/2)*20yd = (7/2)*20yd = 70 yd.

With tose 70 yards of ribbon, she made 15 bows, then the length of ribbon used in each bow will be equal to the quotient between the total length used and the number of ribbons made with it, this is:

70yd/15 = 4.67 yards

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6 0
2 years ago
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Anastaziya [24]

Answer:

3 2/5

Step-by-step explanation:

8-3x4

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so do 12 minus 8 which is 4. and 4 as a fraction is 2/5 so

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6 0
3 years ago
What is the volume of a right circular cone if the circumference of the base is 125.6 ft and the height is 75 ft.?
Eddi Din [679]

Answer:

Hence the volume of the cone is 31384.52 cubic feet

Step-by-step explanation:

We must first need to understand how the volume of a cone is calculated.

It is simply calculated by multiplying the base area of the cone by the height, and dividing the result by 3.

This is :

Volume of cone = \frac{\pi r^2 h}{3}

we are not given the base area of the cone. However, we are given the circumference from which we can get the radius of the base.

Circumference =

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Bumek [7]
(5ab-4a-8)-(9ab-5)
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>>5ab-4a-8-9ab+5
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I'm guessing you just have to leave it like that unless there are other parts to the question or whatever but that's that simplified as far as it can be!
7 0
3 years ago
What is the length of the hypotenuse of the right triangle?
Julli [10]

Answer:

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Step-by-step explanation:

trust me

6 0
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