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, negative 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.

On A Coordinate Plane, 2 Lines Are Shown. Line P Q Has Points (negative 5, 3) And (5, 1). Line R S Has

Answers

Answer 1

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

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

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

[tex]m_1=\dfrac{1-3}{5-(-5)}[/tex]

[tex]m_1=\dfrac{-2}{5+5}[/tex]

[tex]m_1=\dfrac{-2}{10}[/tex]

[tex]m_1=\dfrac{-1}{5}[/tex]

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

[tex]m_2=\dfrac{-4-(-2)}{0-(-4)}[/tex]

[tex]m_2=\dfrac{-4+2}{0+4}[/tex]

[tex]m_2=\dfrac{-2}{4}[/tex]

[tex]m_2=\dfrac{-1}{2}[/tex]

Slopes of two parallel lines are equal.

[tex]m_1\neq m_2[/tex]

They are not parallel because their slopes are not equal.

Therefore, the correct option is C.

Answer 2

Answer:

the correct answer is c

Step-by-step explanation:

Edu2020


Related Questions

The result of which expression will best estimate the actual product of (Negative four-fifths) (three-fifths) (Negative StartFraction 6 over 7 EndFraction) (five-sixths)?

Answers

Answer:

12/35

Step-by-step explanation:

Given the expression;

-4/5(3/5)(-6/7)(5/6)

First multiply the first two brackets

-4/5×3/5

= -12/25

Multiply the last expression in its lowest term

= -6/7×5/6

= -30/42

= -15/21

= -5/7

Multiply the resulting expressions together

= -12/25×-5/7

= -12/5×-1/7

= 12/35

Hence the beat estimate for the actual product is 12/35

Answer:

B

Step-by-step explanation:

Took the test ;)

Please help ASAP T-T Will mark brainiest if you answer correctly and show all your work! Random answer will be reported. Thank you!

Answers

you graph is using the slope and y-intercept
the slope is 3/5
the y-intercept is (0,2)

Answer:

This is "vanessahu2007" 's another account. I answer this question in order to mark "eliamns" brainiest. Please do not report.

Step-by-step explanation:

.what is formula to calculate sqare​

Answers

Answer:

Area = a2

a = length of side

A= area of size area=a2

Help me with this pls anyone

Answers

Answer:

B

Step-by-step explanation:

x^2=3x-2(subtract 3x and add 2) x^2-3x+2=0(group) (x-1)(x-2)=0(find x) x=1;x=2

find y values for x values and check:

1^2=1,     pair 1:(1,1); 3(1)-2=3-2=1, same pair

2^2=4, pair 2:(2,4);  3(2)-2=6-2=4, same pair

pairs: (1,1);(2,4)

cuál es el resultado de esto (4^3) (5^6)?

Answers

Answer:

100³ or 1000000 or 10^6

Step-by-step explanation:

(4³)(5^6)

(20³)(5³)

(20×5)³

100³

Answer:

I think that the answer would be 1000000

One car alarm is set to go off every ten seconds. Another car alarm is set to go off every 5 seconds, and a third car alarm is set to go off every 4 seconds. If they all go off at the same time due to a loud clap of thunder, how long will it take until they all sound at the same time again?

Answers

Answer:

20 seconds

Step-by-step explanation:

Alarm 1 = every 10 seconds

Alarm 2 = every 5 seconds

Alarm 3 = every 4 seconds

If they all go off at the same time due to a loud clap of thunder, how long will it take until they all sound at the same time again?

To determine how long it will take until they all sound at the same time again, find the lowest common multiple of the three alarm

Alarm 1 (every 10 seconds) = 20, 30, 40, 50, 60, 70, 80, 90,

Alarm 2 (every 5 seconds) = 10, 15, 20, 25, 30, 35, 40, 45, 50

Alarm 3 (every 4 seconds) = 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48

The lowest common multiple of Alarm 1 (every 10 seconds), Alarm 2 (every 5 seconds) and Alarm 3 (every 4 seconds) is 20 seconds

Therefore, they will all sound at the same time again in the next 20 seconds

HELP PLEASE!!! Evaluate the expression 12 + {-4 + 2[1 + 3(-5 – 3)]} and enter your answer.

Answers

answer: -42
explanation: you start with the innermost parentheses and work out

E and F are complementary. If m E = 9x - 38 and mF = 2x + 40, find m F pls I need help

Answers

Answer:

m[tex]\angle[/tex]F = 34°

Step-by-step explanation:

If E and F are complementary I means that the sum of their angles add up to 90° since all complementary angles have the sum of their angles equal to 90°

To find m[tex]\angle[/tex]F add m[tex]\angle[/tex]E and m[tex]\angle[/tex] F and equate it to 90 to find x then substitute it into the expression for m[tex]\angle[/tex]F

Thats

m[tex]\angle[/tex]E + m[tex]\angle[/tex]F = 90

[tex]\rarr[/tex] 9x - 38 + 2x + 40 = 90

[tex]\rarr[/tex] 11x + 2 = 90

[tex]\rarr[/tex] 11x = 90 - 2

[tex]\rarr[/tex] 11x = 88

Divide both sides by 11

x = 8

Now we have

if m [tex]\angle[/tex]F = 9x - 38

m[tex]\angle[/tex] F = 9( 8) - 38

m[tex]\angle[/tex]F = 72 - 38

We have the final answer as

m[tex]\angle[/tex]F = 34°

Hope this helps you

Some friends played a board game. During the​ game, one unlucky player had to move back 8 spaces 5 turns in a row. Find a number to represent that​ player's movements for those 5 turns.
NEXT
A football team loses 8 yards on each of 4 consecutive plays. Find the total change in yards from where the team started.
The total change is
nothing yards. plsssssssssssssssssssssssssssss help. their i raised the points'

Answers

Answer:

I think that it would be -40

Step-by-step explanation:

I think this because they had to go back 40 spaces because 8 x 5 = 40.

The required number is 40 which represents that player's movements for those 5 turns.

Given that,
Some friends played a board game. During the​ game, one unlucky player had to move back 8 spaces 5 turns in a row.
To determine the number to represent that​ player's movements for those 5 turns.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
For every turn, he has back 8 spaces
To the number of spaces back in 5 turns,

Total spaces back = 5 * 8
                           =  40

Thus, the required number is 40 which represents that player's movements for those 5 turns.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

What are the 2 steps that are wrong

Answers

Answer:

Step-by-step explanation:

Step 2 to Step 3.

This is a major error. Minus signs always create trouble.

4 - 21 = -17

To this you add 30

- 17 + 30 = 13

So the answer is sqrt(13)

Answer:

Step 3 to step 4

How many thousands are in 4 hundread thousand and 4 tens?

Answers

4 hundred thousand are in it simple!

Answer:

400

Step-by-step explanation:

400,040 has 400 thousands.

solve 2x^2 = x^4 +1 to find the value of x

Answers

Answer:

x= -1

x=1

Step-by-step explanation:


© Kin travels 600 miles by train at an average speed of 120 mph.
Ayaan flies the same distance at an average speed of 160 mph.
Find the difference between their travel times.
Give your answer in hours.
Please answer asap!!​

Answers

Answer: 1.25 hours

Step-by-step explanation: 600/120=5. Kin‘s travel time is 5 hours. 600/160=3.75. 5-3.75=1.25.

Name the property or definition illustrated below
If y = 3x and 2x + 4y = 12, then 2x + 4(3x) = 12

Answers

Answer: Substitution

Step-by-step explanation:

GIVEN:

y=3x

2x+4y=12

Then, 2x+4(3x)=12

-----------------------------------------

Substitution: replacing one variable in terms of another variable.

As we can see from the given aspects, y=3x, and the conclusion expression has no y instead of 3x. This means it represented y in terms of x, which fits the definition of substitution that replaces one variable.

Hope this helps!! :)

4a-(a+6)=12-36 please help i am confused again lol

Answers

Answer:

a=6

Step-by-step explanation:

Trapezoid ABCD is reflected over the line y - x. What rule shows the input and output of the reflection, and what is the new coordinate of A (1 point)
B
0
A
(X,Y)--(-x): A is at (1,5)
(X,Y) (YX); A' is at (1-5)
(x,y)--(-x,y); A' is at (5, 1)
(x,y)--(-X, "): A' is at (5, -1)

Answers

Answer:

(x,y)--(-X, "): A' is at (5, -1)

Step-by-step explanat

Answer:

(x,y)→(−x,−y); A' is at (5, −1)

Step-by-step explanation:

The sum of four consecutive integers is 106. What is the largest number?

Answers

Answer:

28

Step-by-step explanation:

25+26+27+28=106

can u solve 0=4(x+5)+8

Answers

Answer:

0 = 4x +20 +80=2×(2x +14)0=2x+14=)2x =-14=)x =-7

Answer:

x = 7

Step-by-step explanation:

0 = 4(x+5) + 8

expand:

0 = 4x + 4*5 + 8

0 = 4x + 20 + 8

0 = 4x + 28

simplify

4x = 28

simplify

x = 28 / 4

x = 7

area of a isocles triangle whose both sides are 5 cm and one side 4cm​

Answers

Answer:

9.17cm (3s.f.)

Step-by-step explanation:

Using Pythagoras Theorem,

5² = 2² + (Height of Triangle)²

Height of Triangle = 4.5826cm (5s.f.)

Area = ½ × 4 × 4.5826

= 9.1652cm (5s.f.)

= 9.17cm (3s.f.)

Which is not a pair of congruent angles in the diagram below?

A. Angles BDA and DBC

B. Angles ABD and BAD

C. Angles ABD and BDC

D. Angles BCD and BAD​

Answers

Answer:

B. Angles ABD and BAD

Step-by-step explanation:

The way that you tell which angles are congruent, are based on the angle marks. Angle A and C are congruent because they both contain 3 of the congruency marks, meaning they would equal the same degree. The answer is B because starting with angle BDA, B is your starting point, whereas D is the angle and A is the point you end on. With angle BAD, you start at point B and end at D, making angle A the one you're looking at. Because angle A contains 3 congruency marks, while angle B only contains one, this makes the two angles NOT congruent. Hope this helps. :)

Answer:

angles ABD and BAD

Step-by-step explanation:

The congruent angles match in the number of angle markings on the diagram.

What is the length of AB? Round your answer to the nearest
hundredth. Hint: The nearest hundredth means the second place to
the right of the decimal point. This is not the answer! For example,
12.06
Ay
B
2.
х
-2
O
-2

Answers

23’3 because I went over the test and I got it correct I’m pretty sure (sorry if I’m wrong I just went with the internet :()

Choose the three shapes that have an area of 36 square centimeters.
9cm
12 cm
A
4 cm
D
3 cm
9 cm
12 cm
B.
9 cm
E.
6 cm
6 cm
C.
6 cm

Answers

Answer:

6cm

Step-by-step explanation:

Area of a square =

[tex]s^2[/tex]

Where s = one side

s = ?

[tex]A = s^2\\\\36 =s^2[/tex]

Square root both sides

[tex]\sqrt{36} = \sqrt{s^2} \\\\6 =s[/tex]

reflect point R(6,10 ) over the y-axis. The coordinates for R' are

Answers

Answer: (6,-10)

Step-by-step explanation:

When you reflect a point over the y-axis, the sign of the number changes. It goes from negative to positive and positive to negative. Since both our numbers are positive, only the y-coordinate become negative because it is only being reflected over the y-axis, not x-axis. (6,-10)

Divide.

-3 1/3 divided by 9

Answers

Answer:

-10/27 (or) -0.37037037...

Step-by-step explanation:

-3 1/3÷9=

-10/3÷9=

-10/27 (or) -0.37037037...

Answer:

-10/27

Step-by-step explanation:

First person to answer gets brainliest find the domain and range of the following absolute functions . F(x)=|x+6|

Answers

Answer:

yes

Step-by-step explanation:

Answer:

B is the answer to f(x)= |x+6|

Step-by-step explanation:

I used desmos for these types of problems and looked at the table.

solve |-3d | =15 please lol

Answers

Answer:

[tex]d=-5 \text{ or } d=5[/tex]

Step-by-step explanation:

[tex]|-3d|=15\\\\-3d=15 \text{ or } -3d=15\\\\\frac{-3d=15 \text{ or } -3d=15}{-3}\\\\\boxed{d=-5 \text{ or } d=5}[/tex]

Hope this helps.

Help! The most helpful answer will be marked as BRAINLIEST!

Answers

Answer:

Step-by-step explanation:

16=5p-6

17=y

Overnight, the temperature dropped 1.3 degrees every hour. How many hours did it take the temperature to drop 7.8 degrees?

Answers

Answer:

what was the temperature at first?

please answer number 6

Answers

b should equal 10. you just have to figure out what would get you b and then you can figure it out from there!!

Write an expression for one-sixth of 4x

Answers

Answer:4x=1/6

because of how its written you would be multiplying 4x by 1/6 if they asked you to solve it. but since they asked you to write the equation all you have to do is put 4x on one side of the equal sign and 1/6 on the other so if they ask you to solve it all you have to do is multiply both sides by 1/6

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