A pair of equations is shown below: y = 3x − 5 y = 6x − 8 Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution. (5 points) Part B: If the two equations are graphed, at what point will the lines representing the two equations intersect? Explain your answer. (5 points) Source StylesNormal
Answers
Answer:
Intersect/Solution at (1, -2)
Step-by-step explanation:
Equation 1: y = 3x - 5
Equation 2: y = 6x - 8
Step 1 Mutliply each side of equations one by -2
New Equation 1: -2y = -6x + 10
New Equation 2: y = 6x -8
Add the Equations: -y = +2
Multiply each side by -1 and you'll get that y = -2
Plug in -2 to either equation: -2 = 3x - 5
add 2 to each side 0 = 3x -3
add 3 to each side 3x = 3
divide by 3 and you'll get that x = 1
Part A:The solution of the pair of the equation is,x=1 and y=- -2.
Part B: If the two equations are graphed, at point (1,-2) will the lines representing the two equations intersect.
How to get the slope intercept form of a straight line equation?If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as:
y = mx +c
A pair of equations is shown below:
y = 3x − 5 -------1
y = 6x − 8 --------2
Substitute the value of y from the equation 1 into equation 2;
3x − 5=6x − 8
3x=-5+8
3x=3
x=1
Put the value of x in the equation 1;
y = 3x − 5 -------1
y=3(1)-5
y=- -2
Hence,the solution of the pair of the equation is,x=1 and y=- -2 and at point (1,-2) will the lines representing the two equations intersect.
To learn more about slope intercept form refer:
https://brainly.com/question/2503591
#SPJ2
Related Questions
Solve for the value of v.
Answers
Answer:
V=14
Step-by-step explanation:
Well its a supplementary angle if you add everything together.
We know theres a 90 degrees angle and a 34 degree angle.
90+34=124
124+4v=180
Since if you add everything up its a straight line
Solve the equation normally
56=4v
14=v
can someone answer this please
Answers
The mode is 84 sheets of plywood tall.
4.2 feet = 50.4 meters
50.4 meters divided by 0.6 equals 84 sheets.
Please help! Ill give brianliest!!
Answers
Answer:
C) 12%
Step-by-step explanation:
there are 25 ppl in this class. there are 3 ppl with 7 or 8 ppl in their family. 3/25=0.12=12%
Answer:
the answer is C
Step-by-step explanation:
you add up all the dots then take 3 and do 3/25 which gives you 0.12
PLEASE PLEASE HELP (DUE ASAP)! I was struggling a lot with this and I was hoping for an accurate answer! Name the correct angle using the given diagram
Answers
Answer:
Alright Ima jsut say common phrases and do em at the end
Veritcal angles:
Well these angles are equal and always across form each other. Too determine if its a vertical angle, if you see an “x” Like shape, you can draw a maximum of two lines, one horizontal, one vertical. The number those lines tough are vertical the fore the SAME.
Complementary angles:
These are 2 or more angles that add up to 90 degrees. You can have like 20 different angles with different numbers, as long as they add up to 90 degrees. 90 degrees is a right angle so no matter what, it has to equal 90 degrees from all angles.
Supplementary angles:
These are 2 or more angles that add up to 180 degrees or a straight line more common. As long as all the angles add up to 180, its supplementary.
Adjacent angles:
These are angle show lie next to each other. They don’t have anything special, their just next to each other. Ima use an example form the graph. Take for example the angle RNX. XNE is adjacent, its lies right next to it. Another Example could be KND. DNE is adjacent, right next to it.
1) ANR
2) KNE
3) KND
4) RNX
Please help me out
ill brainliest u
Answers
Answer:
1) x-3=0
4) 6=2x
6) x²=9
Step-by-step explanation:
x-3=0
x=3
----
1+x = 2
x = 2-1
x = 1
----
9-x=3
9-3=x
6=x
----
6=2x
6/2=x
3=x
----
x/5=3
x=3*5
x=15
----
x²=9
x=±3
These are the value of x solved for each equations. If you have any questions, feel free to ask.
Answer:
1. yes
2. no
3. no
4. yes
5. no
6. yes
Step-by-step explanation:
Which pair of angles is supplementary?
Answers
Answer:
There are 4 possible answers:
1.) Pair 1 and 3
2.) Pair 3 and 4
3.) Pair 4 and 2
4.) Pair 2 and 1
Step-by-step explanation:
Supplementary angles are 2 or more angles who's sum add up to 180°. If two angles make a straight angle they are supplementary.
Hope this helps!
(08.03)Heather recorded the different types of music her friends like in the table below:
Type of Music Number of Friends
Country
3
Hip-hop
2
Pop
4
Rock
1
Which of the following plots represents the data in the table?
A: A dot plot line labeled Types of Music and titled Music. Four tick marks labeled Country, Hip-hop, Pop, and Rock. There are 3 dots above Country, 2 above Hip-hop, 4 above Pop, and 1 above Rock.
B: A dot plot line labeled Types of Music and titled Music. Four tick marks labeled Country, Hip-hop, Pop, and Rock. There is 1 dot above Country, 2 above Hip-hop, 3 above Pop, and 4 above Rock.
C: A dot plot line labeled Types of Music and titled Music. Four tick marks labeled Country, Hip-hop, Pop, and Rock. There are 3 dots above Country, 4 above Hip-hop, 1 above Pop, and 2 above Rock.
D: A dot plot line labeled Types of Music and titled Music. Four tick marks labeled Country, Hip-hop, Pop, and Rock. There are 2 dots above Country, 4 above Hip-hop, 4 above Pop, and 3 above Rock
Answers
answer:
a)
step-by-step explanation:
the explanation is the picture
**edit** i didn't realize that the words got 'deleted' but here's the order i put them in country, hip-hop, pop, and rock i'm sorry about the inconvinence
good luck :)
i hope this help
brainliest would be highly appreciated
have a nice day!
Answer:
The answer is A.
I took the test and got it right. Hope this helps!
Have a good day :)
~Amy❤
Which of the following represents a Pythagorean Triple? 1 {10, 20, 30} {5, 7, 10} {21, 72, 75} {11, 45, 60}
Answers
Answer:
F=dA
dF=0
d⋆F=⋆J
where in fact the second equality is not needed because of the identity d2=0 . In abstract tensor notation, these equations expand to
Fab=2∇[aAb]
∇[aFbc]=0
∇aFab=Jb
where in the above, additional compact notation has been used to simplify things: square brackets mean antisymmetrizing indices, and the covariant derivative ∇a is related to a flat derivative ∂a and a connection Γbac . Now, performing a 3+1 decomposition (here in flat space-time) Maxwell's equations break down as
∇⋅B⃗ =0
∇⋅E⃗ =4πρ
∂B⃗ ∂t=−∇×B⃗
∂E⃗ ∂t=+∇×B⃗ −4πJ⃗ .
In the above, there is yet more compactifying notation: the divergence is defined as
∇⋅v⃗ =∂vi∂xi
and the curl is defined as
(∇×v⃗ )i=ϵijk∂vk∂xj.
In the above, still more compactifying notation has been used, namely the Einstein summation convention. Written out in components, the divergence is
∇⋅v⃗ =∂vx∂x+∂vy∂y+∂vz∂z
and curl is defined as
(∇×v⃗ )z=∂vy∂x−∂vx∂y
and similarly for the other two components.
As you can see, the extremely compact and powerful notation
dF=0
d⋆F=⋆J
expands out to a large set of component equations—but they have the same content, so it's not very meaningful that the equations in components are much longer than in terms of differential forms.
As another example, Elson Liu answered with an exploded-out form of the Standard Model Lagrangian. However, it can be written much more compactly:
L=LYM+LHiggs+Llep.+Lqrk.+LYuk.
where
LYM=−14TrFabFab
LHiggs=−(Daϕ†)(Daϕ)+14λ(ϕ†ϕ−12v2)2
Llep.=iℓ†I/DℓI+ie¯†I/De¯I
Lqrk.=iq†I/DqI+iu¯†I/Du¯+id¯†I/Dd¯I
LYuk.=−yIJϕℓIe¯J−y′IJϕqId¯J
−y′′IJϕ†qIu¯J+h.c.
and specifying that F is the curvature on the gauge group G≃SU(3)⊗SU(2)⊗U(1) , Da is the gauge covariant derivative on G, /D is the gauge covariant Dirac operator on G, and specifying the representations of the fields: the scalar ϕ in the rep (1,2,-1/2), and the fermions ℓ in the rep (1,2,-1/2), e¯ in (1,1,+1), q in (3,2,+1/6), u¯ in (3¯,1,−2/3) , and d¯ in (3¯,1,+1/3) ; where I is a generation index running over 1,2,3, and where everything else is a constant.
Step-by-step explanation:
Coach Henderson had 16 gallons of paint. He used an equal amount of the paint each of 5 days. How many gallons of paint did he use each day? A. 5 1/6 B. 1 6/5 C. 3 1/5 D. 3 1/16
Answers
Answer:
C
Step-by-step explanation:
3 1/5
Answer:
[tex]\frac{16}{5}[/tex] or 3 [tex]\frac{1}{5}[/tex] or 3.2
Step-by-step explanation:
To solve we must divide 16/5.
Can someone help me please!!!
Answers
1. 109
2. 52
3. 4
4. 89
5. 111
6. 72
52
4
89
111
72
Is the answers good luck
Which statements are true about the data shown in the
table? Check all that apply
Fido ran faster than Ruff.
Ruff ran faster than Fido.
The dogs ran at the same speed
Fido's speed was 3 feet per second,
Ruff's speed was 4 feet per second
(MULTI ANSWER QUESTION)
Answers
i need help pleaseeee
Answers
anyone plz yo know why i,mhere like always
Answers
Answer:
I think that G is the correct answer , 24 ft2 .
hope it helps u ..:)
please help there both on probability using a spinner which is the spinner in the photos
Answers
2. No. E(3/8) B(1/8)
3. 1/2
4. Yes both has (1/8) probability
5. 1/4
6. 1/2
7. 1/2
8. 2/3
9. 5/6
10. 1/6
11. 2/3
12. 1/3
13. 1/2
14. No 3(1/6) 4(1/3)
The probability of the spinner landing on A is 3/8, the probability of the spinner not landing on C or E is 1/2
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
1) What is the probability of the spinner landing on A:
Total outcomes = 8
Total favourable = 3 (A repeated 3 times)
Probability = 3/8
2) Do you have an equal chance of landing on either B or E:
No, because the probability for B is 1/8 and the probability for E is 3/8
3) What is the probability of the spinner not landing on C or E:
P(not landing on C or E) = 4/8 = 1/2
4) Do you have an equal chance of landing on either B or C:
Yes, because both event has same probability = 1/8
5) What is the probability of the spinner not landing on A or E:
P(not landing on A or E) = 2/8 = 1/4
6) What is the probability of the spinner landing on C or E:
P(landing on C or E) = 4/8 = 1/2
7) What is the probability of the spinner not landing on A or B:
P(not landing on A or B) = 4/8 = 1/2
Similarly, we can find the rest of the probability.
Thus, the probability of the spinner landing on A is 3/8, the probability of the spinner not landing on C or E is 1/2
Learn more about the probability here:
brainly.com/question/11234923
#SPJ2
If Nina is N years old now and Maryna is M years old now. Write the sum of their ages in 6 years?
Answers
Answer: y=6n+m
Step-by-step explanation:
Help please HELP I need the Answer
Answers
Answer:
H. 70 ft^3
Step-by-step explanation:
The standard formula for a rectangular prism is L x W x H
So, we just need to plug-in the values into the formula
(7) x (2.5) x (4)
70
2.A weather station on the top of a mountain reports that the temperature is currently 0°C and has been falling at a constant rate of 3°C per hour. If it continues to fall at this rate, find each indicated temperature.
a.What will the temperature be in 2 hours?
b.What will the temperature be in 5 hours?
c.What will the temperature be in half an hour?
d.What was the temperature 1 hour ago?
e.What was the temperature 3 hours ago?
f.What was the temperature 4.5 hours ago?
Answers
b) -15
c) -1.5
d) 3
e) 9
f) 13.5
8. Draw a second line on the graph in order to demonstrate a system of equations with no solution. Record your equation. I need an ordered pair
Answers
Answer: the answar is 3
Step-by-step explanation:
Rita bakes cakes to earn money she spent $30 for supplies to make 15 cakes which inequality shows how much Rita has to change per cake to earn a profit of a least $150. show work ill mark brainliest
Answers
How to do 0.3 divided by 0.1
Answers
Answer:
The answer will be 3
Step-by-step explanation:
if you multiply 0.1 thrice you will get 0.3
Hope this helps!
grades on a science test are shown in the box plot below.
Find the correct data that the box plot represents.
A) 78, 81, 89, 75, 76, 91, 100, 63, 80, 87, 91, 95
B) 55, 81, 89, 75, 76, 91, 100, 63, 80, 87, 91, 95
C) 78, 81, 45, 75, 76, 91, 100, 63, 80, 87, 91, 95
D) 78, 81, 89, 75, 76, 91, 100, 63, 80, 87, 91, 110
Answers
Answer:
d
Step-by-step explanation:
what is the awnser to this pls awnser quick
Answers
Answer:
length and width
Step-by-step explanation:
Find the total surface area of the milk carton.
105 in2105 in2
72 in272 in2
74 in274 in2
126 in2
please I don't have time
Answers
Answer:
126 in²
Step-by-step explanation:
I will send you a photo that has the step by step explanation
Jada says that she found three different ways to complete the first question correctly. Do you think this is possible? Explain your reasoning.
Answers
Answer:
Yes.
Step-by-step explanation:
Although there is not much info on this question, if you were to assume that there are 3 different answers or 3 different methods of solving that problem, it is definitey possible to assume that this is possible.
j + 54 = 971
what is j
Answers
Answer:
917 is the answer i believe:)
Step-by-step explanation:
just subtract 971 - 54 = 917
Answer:
917
Step-by-step explanation:
j + 54 = 971
-54 -54
------------------
j = 917
helpppppppppp!!! :( math up ):
c) Explain how 223 compares to another mixed number.
______________________________________________________
4. Which of these is greatest?
A 4/5 × 10 1/2
B 2 1/2 × 16/5
C 3 2/3 × 2 1/2
D 2 0/3 × 9/10
(: il make u brainlist!!!! and give u a thank you!! + u get the points and ima add 5 stars :)
Answers
Answer:
A 4/5 × 10 1/2 =8.4
B 2 1/2 × 16/5 =8
C 3 2/3 × 2 1/2 = 330/36 = 9.1666
D 20/3 × 9/10 =6
C IS THE GREATEST because 9.166 is greater than 8.4, 8 and 6
Nathaniel created the circle graph to show the percentage of his free time he will engage in different activities on Sunday. If Nathaniel has 8 hours of free time on Sunday, which is the amount of time he will spend watching television?
A. 240 minutes
B. 336 minutes
C. 144 minutes
D. 168 minutes
Answers
Answer:
He has about D
Step-by-step explanation:
I tried to do the math the exact answer I got was 216 so i may be wrong.
Answer: 35 :)
Step-by-step explanation: If 100% means full then we should find the amount that they already used which was 65 and then minus 100 was 35 :) Brainliest would be appreciated.
Harmonee walks 3/4 of a mile to the store. As she walks, she stops every 1/4 mile to take a sip from her water bottle. How many times does she stop?
Answers
-9=k/6-8
can anyone help please.
Answers
Answer:
k=18
Step-by-step explanation:
have a good day :)
Answer:
k = 18
Step-by-step explanation:
-9 = k/(6-8)
Multiply both sides by (6-8)
(6-8)-9=k
solve.
k = 18
Plsss help me with this if you know how to solve this plsss help me with it thank you also remember NO LINKS AND NO DOING IT JUST FOR POINTS OR YOUR ANSWER WILL BE REPORTED
Answers
Answer:
1- alternate exterior
2-vertical
3- linear/supplementary
4-alternate interior
5-same side interior
6-corresponding
hope this helps! have a lovely day :)