The image shows lines AB and CD.
Are the 2 lines parallel? Explain or show your reasoning.
Answers
No
Step-by-step explanation:To classify the lines as "parallel", the distance between both x-intercepts must be equivalent to the distance between both y-intercepts. In this case, the lines are not parallel because the distance between both y-intercepts is different than the distance of both x-intercepts.
Distance between two y-intercepts: 4 unitsDistance between two x-intercepts: 5 unitsSince 4 ≠ 5, the lines are not parallel.
Answer:
No, the lines are not parallel.
Step-by-step explanation:
Parallel lines have the same slope.
Therefore, find the slopes of both lines and compare.
Slope formula
[tex]\sf slope=\dfrac{change\:in\:y}{change\:in\:x}[/tex]
Line AB
A = (0, 6)
B = (8, 0)
[tex]\implies \sf slope=\dfrac{0-6}{8-0}=-\dfrac34[/tex]
Line CD
C = (-3, 4)
D = (0, 2)
[tex]\implies \sf slope=\dfrac{2-4}{0-(-3)}=-\dfrac23[/tex]
As the slopes of the 2 lines are different, the lines are not parallel.
Related Questions
Which of the following numbers CANNOT represent the probability of an event?
A. -0.5
B. 1
C. 0
D. 0.675
Answers
Explanation: because it’s a negative number and is less than 0 is it cannot represent a probability of an event.
The number that can not represent the probability of an event is -0.5.
Option A is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
The probability of an event always lies between 0 and 1 (inclusive), where 0 represents an impossible event and 1 represents a certain event.
Therefore, any number outside this range cannot represent the probability of an event.
Probabilities are always non-negative values between 0 and 1 (inclusive). The value 0 represents an impossible event, meaning that the event cannot occur.
The value 1 represents a certain event, meaning that the event will definitely occur. Any value between 0 and 1 represents the likelihood that the event will occur, where a value closer to 0 represents a low probability and a value closer to 1 represents a high probability.
Negative numbers cannot represent probabilities since probabilities are always non-negative values between 0 and 1.
Thus,
The number that can not represent the probability of an event is -0.5.
Learn more about probability here:
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The graph shows a proportional relationship between pounds of aluminum and money earned from recycling.
The table below shows the amount of money that is earned from recycling copper.
Chose a Answer
You earn the same per pound for aluminum and copper
You earn more per pound recycling aluminum than copper.
You earn more per pound recycling copper than aluminum.
Not enough information to draw conclusions.
Answers
Answer: You earn more per pound recycling copper than aluminum.
Step-by-step explanation:
i need help with this quick pls
Answers
Answer:
[tex]\left[\begin{array}{cc}21&6\\-2&14\end{array}\right][/tex]
Step-by-step explanation:
[tex]x=\left[\begin{array}{ccc}8&4\\-2&3\end{array}\right][/tex]
[tex]y=\left[\begin{array}{ccc}5&-2\\2&8\end{array}\right][/tex]
To multiply an array by a constant, all you need to do is take every element in the array and multiply it by the constant, addition is similar in that you just go to each corresponding element in the arrays and add the two corresponding elements together.
[tex]2*\left[\begin{array}{cc}8&4\\-2&3\end{array}\right]+\left[\begin{array}{cc}5&-2\\2&8\end{array}\right] = \left[\begin{array}{cc}21&6\\-2&14\end{array}\right][/tex]
There are 15 students on the debate team. Four will attend the debate. How many groups of four can be selected from the 15 students?
Answers
Answer: 1365
Step-by-step explanation:
Pat was in fishing competition at lake Pisces
Answers
Answer:
Hello! Your Question seems to be Incomplete but if you didn't mean to make it that way. I will be Happy to answer it If you repost It. Thanks !
Step-by-step explanation:
Have a good day!
when you reverse the digits in a certain two-digit number you increase its value by 45. Find the number if the sum of its digits is 13
Answers
The answer is 58.
First, we need to find "x", being the number.
13+45=58X=58
----------------------------------------------------------------------------------------------------------
How did we get 58 though?----------Steps---------Add 3+53+5=8Then add 1+41+4=5Therefore, the answer is 58.
X=58
Hope this heIps!
If this helped...
Give it a good ratingGive it a thanksAnd maybe brainliest!-------------------------------------------------~*This has been*~~NatLikesAnime~
#LearningWithBrainly
find the slope of the line that passes through the points given in the table
Answers
Answer:
17. -2.5
18. 3
19. 0
20. -1
21. 2.33
22. undefined
The Slope of line:
1. -5/2
2. 3
3. 0
4. -1
5. 7/3
6. ∞
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
1. Slope of line
= (1-11)/ (-2 +6)
= -10 / 4
= -5/2
2. Slope of line
= (-2+ 5)/ (-3+ 4)
= 3 / 1
= 3
3. slope of line
= (6-6)/ (3+1)
= 0
4. Slope of line
= (7-8)/ (2-1)
= -1
5. Slope of line
= (-1+8)/ (0+3)
= 7/3
6. Slope of line
= (3-5)/ (-2+ 2)
= ∞
Learn more about Slope here:
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What is the distance between the points (-1, 8) and (4.8) in the coordinate plane?
Answers
To find the distance between any points:
⇒ we must know the distance formula
⇒ Distance Formula: [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 } }[/tex]
[tex](x_{1} ,y_{1} )[/tex] --> (-1,8)[tex](x_{2} ,y_{2} )[/tex] --> (4,8)Let's Solve:
Distance Formula = [tex]\sqrt{(4--1)^2+(8-8)^2} =\sqrt{5^2} =\sqrt{25}[/tex] = 5
Thus the distance between the points is 5
Hope that helps!
I need help with this question is six grade
Answers
Answer:
108
Step-by-step explanation:
I just divided! Hope this helps
which ordered pair represents
(fg)(3) on the graph of the combined function?
A. (9,-3)
B. (3,25)
C. (3,5)
D. (9,25)
Answers
divide 100 in the ratio 2:3.
Answers
2*20= 40
3*20 = 60
I have a proof and I need help!
Answers
Answer:
Step-by-step explanation:
A pair of shoes usually sells for $63. If the shoes are 40% off, and a sales tax of 7% is applied to
the discounted cost, what is the total price of the shoes, including tax? Round your answer to
the nearest penny
A.$37.08
B.$40.45
C.$40.82
D.$42.2
Answers
Answer: 40.45 or B
Step-by-step explanation:
63 x 0.6(100%-40%) = 37.8
37.8 x 1.07 = 40.446
40.446 rounded is
40.45
which situation could the expression 1/4 divided by 3 represent
Answers
But the question is, how much did she spend?
Step-by-step explanation:
To solve this problem, we must first find the value of one quarter, which in decimal, is 0.25Next, find how many quarters are in 3 that can make one quarter.For this situation, all you must do is multiply 3 by 0.25, and you get 0.75, which is 3/4. The equation looks like the one below.[tex]3 * 0.25(1/4) = 0.75(3/4)[/tex]
With that information, the problem is solved. In this story problem, Lily must pay 0.75 cents for that can of soda.________________________________________________________
Questions?Ask me in the comments box.
Ali had 2600 pens, he gave away 1547 pens, how many pens does he have left now?
Answers
2600 pens.
to find:the remaining pens Ali have after giving 1547 away.
solution:2600 - 1547
= 1053
so, Ali has 1053 pens with him.
Ali has 2600 pens.
to find:the amount of pens Ali has left after he gave away 1547 pens.
solution:subtract 2600 from 1547.
[tex]2600 - 1547[/tex]
[tex] = 1053 \: pens[/tex]
hence, Ali has 1053 pens left with him after giving 1547 pens away.
-5x-15+25x-30
Help me please
Answers
Answer:
[tex]\boxed{\sf{20x-45}}[/tex]
Step-by-step explanation:
To solve this problem, all you have to do is isolate the x from one side of the equation.
-5x-15+25x-30First, you have to combine like terms.
→ -5x+25x-15-30
Then, you subtract the numbers from left to right.
→ -15-30=-45
Rewrite the problem down.
→ -5x+25x-45
By similar, add to elements.
→ -5x+25x=20x
Rewrite the problem down.
⇒ 20x-45
Therefore, the correct answer is 20x-45.I hope this helps you! Let me know if my answer is wrong or not.
Answer:
20x - 45
Step-by-step explanation:
Start by grouping like terms ( -5x and 25x) , ( -15 and -30):
= -5x + 25x - 15 - 30
Subtract the numbers: -15 -30 = -45
= -5x + 25x - 45
Combine like terms ( 5x and 25x):
= 20x - 45
What is the length of BD?
A. 5 units
B. 10 units
C. 20 units
D. There is not enough information to determine the length of BD
Answers
Answer:
what is the length of bd?
my answer is:
Letter B.10 units in my opinion
i hope it helps
Solve for x. Round to the nearest tenth, if necessary.
Answers
Answer:
x = 0.8
Step-by-step explanation:
For this problem we will be using trigonometry :
Rectangle abcd is similar to rectangle pqrs given that ab =14cm bc =8cm and pq=12cm calculate the length of qr
Answers
Answer: 6.8571 (Round as needed)
Hope this is correct
Step-by-step explanation:
This is a simple ratio problem
Using the similarity statement we can say 14:12, (ab:pq)
That is our ratio.
So we do 14/12 = 8/x, we solve this using algebra to get our answer.
Hope this is correct.
Solve for x show work
3(2x-5)=4x+33
Answers
[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]
[tex] \large \purple { \rm{Let's \: solve→}} \\ [/tex]
[tex] \rm{3(2x-5)=4x+33} \\ \\ \rm {solving \: bracket} \\ \\ \rm{6x - 15= 4x + 33} \\ \\ \rm{arranging \: terms} \\ \\ \rm{6x - 4x = 33 + 15} \\ \\ \rm{2x = 48} \\ \\ \rm{x = \frac{48}{2} } \\ \\ \rm{x = \cancel \frac{48}{2} } \\ \\ \rm{x = 24}[/tex]
[tex]\purple{\rule{15mm}{2.9pt}} \red{\rule18mm{2.5pt}} \orange{ \rule18mm{2.5pt}}[/tex]
[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
Answer:
[tex]\fbox{X = 24}[/tex]
Solution:
Given expression ➟ 3(2x-5) = 4x + 33,
using distributive property open the above bracket,
➳ 3×2x - 3×5 = 4x + 33
Using BODMAS solve the L.H.S,
➳ 6x - 15 = 4x + 33
now arrange the like terms aside,
➳ 6x - 4x = 33 + 15
➳ 2x = 48
➳ x = 48/2
➳ x = 24
the given expression is true for x = 24
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which statement uses words to represent 5+8×3-2
Answers
Answer:
A
Step-by-step explanation:
You should always multiply before adding or subtracting. By saying "a product of 8 and 3," it means we multiplied them together first.
You should then add and subtract in the order in which they appear. Saying "five more" before "minus 2" means we did it in the right order.
What is the value of the expression? Show your work.
Answers
Answer:
343
Step-by-step explanation:
Given :
[tex]\frac{7^{12}*7^{9} }{(7^{6})^{3} }[/tex]Numerator
7¹² × 7⁹7²¹Denominator
(7⁶)³7¹⁸Fraction
Numerator/Denominator7²¹/7¹⁸7³343The table represents the metric volume measure of a liter. Each amount is represented by its power of 10.
A 2-column table with 5 rows. Column 1 is labeled Unit with entries centiliter, liter, hectoliter, kiloliter, megaliter. Column 2 is labeled Power of 10 with entries 10 Superscript negative 2, 10 Superscript 0, 10 squared, 10 cubed, 10 Superscript 6.
Complete the work to determine how many times larger a megaliter is than a hectoliter.
1. Divide powers:
106
102
2. Expand each power:
10 • 10 • 10 • 10 • 10 • 10
10 • 10
3. Divide common factors:
10 • 10 • 10 • 10 • 10 • 10
10 • 10
4. Simplify.
A megaliter is
times larger than a hectoliter.
Answers
The megaliter is 10,000 times larger than a hectoliter
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
1 mega liter = 10⁶ Liter
1 hectoliter = 10² Liter.
Hence, a megaliter is 10,000 (10⁶/10²) times larger than a hectoliter
Find out more on equation at: https://brainly.com/question/2972832
Step-by-step explanation:
Answer:
10,000
Step-by-step explanation:
Got it right on the assignment.
Will mark brainly!!! Please help me with this. Thank you! :)
Can you please explain how you get the answer. I really appreciate it!!!
Answers
In a answered math the problem [tex]\sqrt{-2}[/tex] plus [tex]\sqrt{-18}[/tex] was [tex]4\sqrt{2i}[/tex] as it was rewritten as [tex]\sqrt{2i} + \sqrt{18i}[/tex]. Why can [tex]\sqrt{-2}[/tex] be written as[tex]\sqrt{2i}[/tex]
Answers
[tex]\text{The imaginary unit,}~ i = \sqrt{-1}\\\\\sqrt{-2} ~ \text{can be written as.}\\\\\sqrt{-2}\\\\=\sqrt{-1 \cdot 2}\\\\=\sqrt{-1} \sqrt{2}\\\\=i\sqrt 2\\\\=\sqrt 2 i[/tex]
giving point and brainliest
Answers
Answer:
18
Step-by-step explanation:
Given expression:
[tex]2 \times (6 \div 2 + 8) - 4[/tex]
Step-1: Simplify the expression in the parenthesis using PEMDAS
Expression obtained Operation of PEMDAS
[tex]\implies 2 \times (6 \div 2 + 8) - 4[/tex]
[tex]\implies 2 \times (3 + 8) - 4[/tex] D - Division
[tex]\implies 2 \times (11) - 4[/tex] A - Addition
[tex]\implies2 \times 11 - 4[/tex]
Step-2: Simplify the expression obtained from step-1
Expression obtained Operation of PEMDAS
[tex]\implies 2 \times 11 - 4[/tex]
[tex]\implies 22 - 4[/tex] M - Multiplication
[tex]\implies 18[/tex] S - Subtraction
Spencer cut a square cake vertically to make two rectangle slices. Each rectangle had a perimeter of 27 inches. How long is each side of the original square cake?Solve on paper.Each side of the original square cake is 9 in. What is the area of the original square cake?
Answers
Answer:
81 square inches. square have equal length for all sides area for square is any side times another side so 9x9=81
Which of the following isatangent
Answers
Answer:
can you re word this i dont understand
PLS HELP ME ASAP I WILL MARK THE BRAINLIEST
Answers
Answer:
Unfortunately I was only able to solve the second question
Step-by-step explanation:
So sorry if I'm wrong but this is what I got:
Volume of a cylinder
V=πr^2h
V=π(4^2)(19)
V=955.04
Lateral S.A.
S.A.=2πrh
S.A.=2π(4)(19)
S.A.=477.52
Total S.A.
S.A.=2πrh+2πr^2
S.A.=2π(4)(19)+2π(4^2)
S.A.=578.05
64÷7890 su resultado y lo que sobra plis :/
Answers
Answer:
0.008111533587 o 32/3945
Step-by-step explanation: