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.
Answers
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:
the correct answer is c
Step-by-step explanation:
Edu2020
Related Questions
Can the number 12 be apart of more than one fact family? Explain.
Answers
Yes, 12 can be a part of more than one fact family because the fact family 3*4 or 6*2 or 9+3.
3,4
2,6
Hope this Helps:)
A submarine is submerged to a depth
of 650 feet below sea level. It ascends
225 feet and then dives 50 feet.
Write an expression that represents the
new position of the submarine.
Answers
Answer:
-650 + 225 = -425 -425 - -50 = 475 feet
Step-by-step explanation:
Find the missing dimensions. Use the scale factor 1 inch:12 feet. A plastic toy bird has a wingspan of 5 inches. What is the actual bird wingspan? USE NUMBERS ONLY.
Answers
Answer: 60 feets
Step-by-step explanation:
Given the question :
Find the missing dimensions. Use the scale factor 1 inch:12 feet. A plastic toy bird has a wingspan of 5 inches. What is the actual bird wingspan?
Using a scale factor of 1 inch : 12 feet
Wingspan of plastic toy bird = 5 inches
Calculate the actual bird wingspan
(1 inch / 12 feet) = (toy bird wingspan / actual bird wingspan)
( 1 inch / 12 feet) = (5 / actual bird wingspan)
Actual bird wingspan = 5 × 12
Actual bird wingspan = 60 feets
a clock is circular in shape with diameter of 25 cm. find the length of the arc between the markings 12 and 5 rounded to the nearest tenth cm
Answers
Answer:
32.7 cm
Step-by-step explanation:
For central angle θ in radians, the arc length is given by ...
s = rθ
The angle between 12 and 5 is 5π/6 radians, and the radius is 25/2 cm, so the arc length is ...
s = (25/2 cm)(5π/6) = (125/12)π cm ≈ 32.7 cm
The arc length between the markings is about 32.7 cm.
“If it is July then it is summer, and it is not July therefore it is not summer” Is this reasoning valid? Why or why not?
Answers
Answer:
No
Step-by-step explanation:
Summer starts in June and ends in August, so this is not valid.
Bam
Which of the following is not an attribute of parallelograms? A)Opposite sides are parallel. B)Consecutive angles are supplementary. C)Diagonals bisect each other. D)Diagonals are congruent. My answer is D..
Answers
Answer:
the answer is D
Step-by-step explanation:
in the equation d=m/v, what what does m stand for?
Answers
M stands for mass.
Explanation:
Here is the equation written again:
Density=Mass/Volume
I hope this helps!
A local restaurant offers a deal if you purchase 3 medium pizzas you get 2 side dishes for free if you get a total of 8 side dishes how many pizzas did you buy use table to show your work
Answers
Abby reads 8 more than twice
as many books than Kristen in
the first quarter. Write an
expression for the number of
books that Abby has read,
Answers
Answer:
A = 8 + 2x
Step-by-step explanation:
Variables:
A = Books Abby has read
x = Books Kristen has read
Without solving, determine whether the equation has one solution, no solution, or infinitely many solutions. 6x+6=6(x+1)
Answers
Answer:
Infinite Solutions
Step-by-step explanation:
6x+6=6(x+1)
6x+6=6x+6
If both sides of the equations are equal, it will ALWAYS be infinite solutions:)
Answer:
Infinite solutions.
Step-by-step explanation:
You have to distribute the 6 to the x and the 1. You'll then realize that both sides have 6x+6, and since 6x-6x=0 and 6-6=0, If you solve this your answer would be 0=0 this means the problem has an infinite number of solutions.
i feel so stupid right now it makes me mad
how do you describe a correlation
Answers
Answer:
Correlation is a statistical technique that is used to measure and describe a relationship between two variables. Usually the two variables are simply observed, not manipulated. The correlation requires two scores from the same individuals. These scores are normally identified as X and Y.
Step-by-step explanation:
i need help with this duhhh
Answers
Answer:
Step-by-step explanation:
4. (6^10)^-7 is when the exponents should be multiplied
answer is B
5. (7^3)^-2 = (7^-6)
1/7^6 = 1/(7x7x7x7x7x7)
answer is A
2. 11^-4/11^8= 1/11^(8+4) = 1/11^12
answer is A
3. (2^5/3^2)^4= 2^20/3^8
answer is A
Answer:
the answer is what the other person said lol
Step-by-step explanation:
Can anyone help me please very urgent due tonight being graded need help 2.Joey gets an allowance of $17 per week. He wants to buy a new basketball that costs $43.67. When will Jose be able to buy the basketball if he has already saved $22.22, but also has to pay $13.45 each week for snacks and school supplies? make an equation or inequality and solve. Show your work
Answers
17-13.45 = 3.15
3.15* week +22.22=43.67
Imma subtract 22.22 from 43.67
43.67-22.22 = 12.45
So imma divide the 12.45 by 3.15
3.95
So about 4 weeks I believe
Please let me know if I’m right or not
If I am right please give me Brainiest
I hope I did this fast enough for you to get it
Have a nice night
-Pam Pam
how do you say 19,034,600 in word form?
Answers
Answer:
nineteen million thirty four thousand six hundred
I think this is right
Step-by-step explanation:
Answer:
Nineteen million thirty four thousand six hundred
Step-by-step explanation:
pleaseeee help!! (click on the pic)
Answers
Matthew drove 189 miles in 7 hours. If he continued at the same rate, how long would it take to travel 297 miles
Answers
Answer:
11 hours
Step-by-step explanation:
27 miles per hour. 297/27 equals 11. to double check 11 times 27 equals 297.
Answer:
189/3=63mph
5*63=315
Step-by-step explanation:
what is the opposite of 22
Answers
Answer:
the opposite of positive 22 would be -22
Step-by-step explanation:
the sales per tax on a printer that cost $180 is 6%. What is the total cost of the printer including the sales tax? Show work and explain your answer
Answers
Answer:
10.8
Step-by-step explanation:
6% of 180 is 10.8
sue withdrew $85 a month from her savings account for 7 months. what was the change in her balance?
Answers
Answer:
-595 was the change in her balance
Step-by-step explanation:
85*7=595
Withdrew=Negative(-)
What is the value of x in the proportion StartFraction 2 and one-fourth over x EndFraction = StartFraction 1 and one-half over 3 and three-fifths EndFraction?
Answers
Answer:
x = 10 4/5
Step-by-step explanation:
We want to find the value of x in the expression below;
2 1/4/x = 1 1/2/3 3/5
The best thing to do here is to turn all the mixed fractions to improper fractions. Thus, we have;
9/2/x = 3/2/18/5
= 9/2x = 3/2 * 5/18
9/2x = 15/36
9 * 36 = 15 * 2x
324 = 30x
x = 324/30 = 10 8/10 = 10 4/5
Answer:
The correct answer is C or 0.5 or 1/2.
Step-by-step explanation:
I know this because I checked it 5 times.
Jeff wanted to see how many smaller boxes will fit into the larger box. Each small box has a side length of 1.5 inches. The larger box has a side length of 5 inches. How many small boxes fit into big boxes
Answers
Answer:
3
Step-by-step explanation:
1.5+1.5+1.5= 4.5
4.5 is smaller than 5
Hope this helps
The expression (y^20) (y^-5)^2 is equivalent to y^n. What is the value of n? n = 27 n = 10 n = -200 n = 17
Answers
Answer:
n = 10
Step-by-step explanation:
Using the rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]
[tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex]
Given
([tex]y^{20}[/tex] ) ([tex](y^{-5}) ^{2}[/tex]
= [tex]y^{20}[/tex] × [tex]y^{-10}[/tex]
= [tex]y^{(20-10)}[/tex]
= [tex]y^{10}[/tex] → in the form [tex]y^{n}[/tex] with n = 10
Answer:
10.
Step-by-step explanation:
I took the test with this question
10. Write and equivalent expression for the
expression 4-4.
Answers
Answer:
0
Step-by-step explanation:
There are an infinite number of equivalent expressions. Perhaps the simplest is the value of the expression:
4 - 4 = 0
Could somebody help me with number 1 through 4
Answers
First, your points will be (-5,0) and (-4,5). Those are (x,y).
You plug -4 into the first x place and -5 into the second x place in the formula. You plug 5 into the first y place and the 0 into the second y place.
After doing the math within the radical you should end up with either 1^2 + 5^2 or 1 + 25.
I would put it into a calculator and you should end up with 5.1 as your answer (rounded)
Let me know if you need anymore help!
help me plzzzzz need help
Answers
Answer:
D.
15/20, 0.75
Hope this helps! :)
is -10/3 greater than or less than negative square root of 9
Answers
Answer:
Greater :D
hope this helped (i may not be right)
Step-by-step explanation:
1) Find the value of X if m < EDG= 112 degrees
Answers
Answer:
x = 12
Step-by-step explanation:
From the question given above, the following data were obtained:
m < EDG = 112°
m < EDH = 6x – 9
m < HDG = 4x + 1
x =.?
Thus, we can obtain the value of x as shown below:
m < EDG = m < EDH + m < HDG
112 = 6x – 9 + 4x + 1
112 = 6x + 4x – 9 + 1
112 = 10x – 8
Collect like terms
112 + 8 = 10x
120 = 10x
Divide both side by 10
x = 120/10
x = 12
Therefore, the value of x is 12.
can someone please help me with these questions ( show work plz)
Answers
Answer:
3) Y = -1.5
Step-by-step explanation:
7=-2y+4
We move all terms to the left:
7-(-2y+4)=0
We get rid of parentheses
2y-4+7=0
We add all the numbers together, and all the variables
2y+3=0
We move all terms containing y to the left, all other terms to the right
2y=-3
y=-3/2
y=-1+1/2
compare 0.8 and 7/10
Answers
Answer:
O.8 is greater than 7/10
Step-by-step explanation:
0.8 is in the tenths Place So you know that equals 80 ones Out of one hundred. So you have 80/100 if you divide 80 and 100 by ten it reduces to 8/10. You know that 8/10 is greater than 7/10. Hope this helped .
scale drawing of a lake has a scale of 1 cm to 80 m. If the actual width of the lake is 1,000 m, what is the width of the lake on the scale drawing?
Answers
Answer:
12.5 cm
Step-by-step explanation:
1,000 meters/ 80m is 12.5