Given the linear equation 2x + y = 6, write another linear equation in two variables such that these two equations when represented geometrically form parallel lines.

Answers

Answer 1

Answer:

The family of lines that are parallel to [tex]2\cdot x + y = 6[/tex] is of the form [tex]2\cdot x + y = k, \,k\neq 6[/tex]. A possible solution is [tex]2\cdot x + y = -2[/tex].

Step-by-step explanation:

Let be [tex]2\cdot x + y = 6[/tex] the equation of a line, another line is parallel to it if and only if it is of the form:

[tex]2\cdot x + y = k, \,k\neq 6[/tex]  (1)

Then, a possible solution is [tex]2\cdot x + y = -2[/tex].


Related Questions

What is the first step in solving for w in the equation 3W + 5 = 14?

Answers

subtract 5 from both sides so that you can can 3W by itself and then you divide both sides by 3W and you should get w=3

2) through:(-1,-1), slope = -4

Answers

? Hm maybe the slope would be -4 over 1

Find the missing side of the triangle and leave the answer in simplest radical form

Answers

Answer:

it would be radical 7

15 = x²+ 8

x²= 15 - 8

x²= 7 >>>>> radical 7 = x

Step-by-step explanation:

hope it helps

Answer:

x = √7.

Step-by-step explanation:

Using the Pythagoras theorem:

x^2 = (√15)^2 - (2√2)^2

x^2 = 15 - 8

x = √7.

What triangles are similar to triangle AED? Explain or show your reasoning.

Answers

Answer:

DCE is similar to AED

EBA is similar to AED

AFE is similar to AED

EFD is similar to AED

Step-by-step explanation:

Triangle AED:

D=53(alternate interior angle)

A=180-90-53=37 (angle of triangle)

AA similarity criterion

DCE is similar to AED

angle BEA=180-90-53=37=angle A of AED

Thus: AA similarity criterion:

EBA is similar to AED

The diagonal of parallelogram(here:rectangle) cut it into 2 congruent triangles

Thus:

EBA is congruent to AFE

EBA is congruent to AFEDCE is congruent to EFD

Congruent triangles are similar

Conclusion:

DCE is similar to AED

EBA is similar to AED

AFE is similar to AED

EFD is similar to AED

Please give brainliest if it helps

The triangles are similar to triangles AED are DCE is similar to AED, EBA is similar to AED, AFE is similar to AED, EFD is similar to AED.

We have to determine

What triangles are similar to triangle AED?

According to the question

Alternate interior angles are formed when a transversal passes through two lines.

The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles.

In the triangle AED:

The angle is equal to 53.

Then,

A=180-90-53=37

DCE is similar to AED.

Here EBA, DCE, EF, D, and AFE bc it doesn’t matter about the size it matters about the angle whether it stays the same and you can clearly see that angle b, and f, angle, c, and angle e are all 90 degrees making the triangles I listed similar to triangle AED.

Hence, The triangles are similar to triangles AED are DCE is similar to AED, EBA is similar to AED, AFE is similar to AED, EFD is similar to AED.

To know more about Triangle click the link given below.

https://brainly.com/question/23919428

Una escalera de 10 metros de longitud esta apoyada sobre la pared. El pie de la escalera dista 6 metros de la pared. ¿ que altura alcanza la escalera sobre la pared?

Answers

Answer:

The height reached by the ladder is 8 m.

Step-by-step explanation:

A 10 meter long ladder is leaning against the wall. The foot of the ladder is 6 meters from the wall. What height reaches the ladder on the wall?

Length of ladder, L = 10 m

foot of ladder, D = 6 m

Let the height reached is H.

[tex]L^2 = D^2 + H^2\\\\10^2 = 6^2 + H^2\\\\100 - 36 = H^2\\\\H = 8 m[/tex]

the answer to the question please

Answers

square: 1, 9
even: 2, 6, 8, 10, 12
both: 4

Find m angle f.
A. 88
B. 28
C. 62
D. 70

Answers

Try 62 but I’m not 100%

what is the constant of proportionality in the equations 3y=2X?

Answers

Answer:

the coefficient of x is 2/3 which is the constant.

What is the volume of the following cylinder? Do not round your answer. (Use 3.14 for π.)



volume = ____yd3

Answers

Answer: 1696.46003yds^3

Hope this helped!! Have a nice day :))

Answer: 1962.5

Step-by-step explanation:  Just did this question it's right hope this helps

Name the marked angle in 2 different ways.

Answers

Angle LNM and angle MNL

pls follow and mark brainliest

34. Find the mean for the following data X F 10 3 12 5 14 4 16 5 18 3​

Answers

Answer- 9 you have to add all the numbers together then divide but the amount of numbers there are

Triangle NJK is similar to triangle LMK by​

Answers

Answer:

B

Step-by-step explanation:

SAS cuz ML~NJ and K is common angle

If pi is rounded to a whole number, what is a reasonable estimate for the circumference of a circle with a diameter of 18 cm?

57 cm
50 cm
54 cm
56 cm

Answers

Answer:

54 cm

Step-by-step explanation:

Hi there!

1) Round pi

π = 3.14159265...

Rounded to a whole number ⇒ 3

2) Determine the circumference

C = πd where d is the diameter

Plug in the diameter

C = 18π

Plug in π

C = 18(3)

C = 54

Therefore, a reasonable estimate for the circumference of this circle would be 54 cm.

I hope this helps!

What value of s makes the equation true?

Answers

Answer:

-17 =s

Step-by-step explanation:

-8s +4 = -7s +21

Add 8s to each side

-8s+8s +4 = -7s+8s +21

4 = s+21

Subtract 21 from each side

4-21 = s+21-21

-17 =s

Answer:

s = -17

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

-8s + 4 = -7s + 21

Step 2: Solve for s

[Addition Property of Equality] Add 7s on both sides:                                   -s + 4 = 21[Subtraction Property of Equality] Subtract 4 on both sides:                        -s = 17[Division Property of Equality] Divide -1 on both sides:                                 s = -17

A square has sides of length (2 a-b) metres. Write down an expression for the area of the square and simplify it​

Answers

Answer:

A = 4a² - 4ab + b²

Step-by-step explanation:

The area (A) of a square is calculated as

A = s² ( s is the side length ) , so

A = (2a - b)² ← expand using FOIL

   = (2a)² - 2ab - 2ab + (- b)²

   = 4a² - 4ab + b²

A room has a length of 12 metres and width of 5 metres. What is the area of the room?
Working out please

Answers

Answer:

60 sq.m

Step-by-step explanation:

Given,

Length of the room = 12m

Width of the room = 5m

Therefore,

Area of the room = l × w

= 12m × 5m

= 60 sq.m (Ans)

The perimeter of a rectangular vegetable patch is 56 meters. The area is 180 square meters.

Answers

Step-by-step explanation:

side length

a = 10 m

side length

b = 18 m

diagonal

p = q = 20.591260281974 m

perimeter

P = 56 m

area

A = 180 m2

5 - 2x^2 = -15 solve the question using inverse operations

Answers

Answer:

x= √10 and x= -√10

Step-by-step explanation:

first look to isolate the term with the variable on one side

-5 +5 -2x² = -5 -15; subtract 5 from both sides(inverse of addition)

-2x² = -20; divide both sides by -2 (inverse of multiplication)

x² = 10; square root both sides (the inverse of raising to power of 2)

√x² =√10

x =±√10

the graph of y=-3x+4 is?

Answers

Answer:

B

Step-by-step explanation:

that is a linear equation, therefore it makes a line, eliminating choices C and D.

Lines can literally Any x or y. So it would be B, a set of all the solutions to the equations.

helppppppppppppppppp

Answers

Answer:

Click the third one.

Answer:

3rd one

Step-by-step explanation:

Mark me brainliest pls

Hope this helps!

A. write the ratio of girls to boys in the class with 12 girls and 15 boys. reduce to the lowest terms.
B. use the information from part A to estimate the number of girls in the school if there are a total of 1350 students in the whole school and in part A is representative of all classes in the school
WILL GIVE BRAINLIEST

Answers

Answer:

A. 4:5

B. 600 girls

Step-by-step explanation:

A. g : b = 12 : 15 = 4 : 5

B. the numbers of girls = 4/(4+5) × 1350

= 4/9 × 1350 = 600

Name the marked angle in 2 different ways.

Answers

1) angle LJK

2) angle KJL

The marked angle can be named as angle LJK and angle KJL.

What is angle?

An angle is a corner whether constituting a projecting part or a partially enclosed space. It is a combination of two rays with a common endpoint.

How to name angles?

The angle can be named in two ways depending on the rays that are making angle.In our question the marked angle can be named as LJK and opposite if this KJL because it does not change the value of angles. Whether we start writing from one point to second point and from second point to first point. Main point is that the point at which the angle is formed comes in between both the points of rays.

Hence the marked angle can be named as angle LJK and angle KJL.

Learn more about angles at https://brainly.com/question/25716982

#SPJ2

yo brainly bolws and 2+2 is 4

Answers

Answer:

chese

Step-by-step explanation:

Cheese is a dairy product, derived from milk and produced in wide ranges of flavors, textures and forms by coagulation of the milk protein casein. It comprises proteins and fat from milk, usually the milk of cows, buffalo, goats, or sheep. During production, the milk is usually acidified and the enzymes of rennet (or bacterial enzymes with similar activity) are added to cause the milk proteins (casein) to coagulate. The solids (curd) are separated from the liquid (whey) and pressed into final form.[1] Some cheeses have aromatic molds on the rind, the outer layer, or throughout. Most cheeses melt at cooking temperature.

Answer:

2+2=4

Step-by-step explanation:

Bro, u serious?

A) m + n
B) 0
C) m - 1
D) -(m+n)

Answers

Answer:

D

Step-by-step explanation:

Lsh=rhs

U solve using algebra

https://hegartymaths.com/assessment
Several points are given on the graph below.
a) A, B and C are three corners of a rectangle.
Write the coordinates of the other corner.
b) C, D and E are three vertices of a rhombus.
Write the coordinates of the other vertex.
5 ty
А.
В.
4
.
3
2
1.
-5
-4
-3
-1
2
3
4
-2
E
5
-1
D.
-2
-3
-4
-5

Answers

Answer:

??????????

Step-by-step explanation:

Answer:

need more clarification

Step-by-step explanation:

?????????????????????????????????????????????????????????????????????

Which value of a would make the following expression completely factored?

x²-a

A.12
B.36
C.49
D.81

Answers

Answer:

The answer is 12.               

12 is not a perfect square like the others.      

Find the unknown length in the picture below please help

Answers

Answer:

x = 12.65

Step-by-step explanation:

The angle between radius and tangent is 90°

Given diameter is 6, so radius = 3.

Then we use Pythagoras theorem

help -------------------------

Answers

Answer:

(A) -3 ≤ x ≤ 1

Step-by-step explanation:

The given function is presented as follows;

h(x) = x² - 1

From the given function, the coefficient of the quadratic term is positive, and therefore, the function is U shaped and has a minimum value, with the slope on the interval to the left of h having a negative rate of change;

The minimum value of h(x) is found as follows;

At the minimum of h(x), h'(x) = d(h(x)/dx = d(x² - 1)/dx = 2·x = 0

∴ x = 0/2 = 0 at the minimum

Therefore, the function is symmetrical about the point where x = 0

The average rate of change over an interval is given by the change in 'y' and x-values over the end-point in the interval, which is the slope of a straight line drawn between the points

The average rate of change will be negative where the y-value of the left boundary of the interval is higher than the y-value of the right boundary of the interval, such that the line formed by joining the endpoints of the interval slope downwards from left to right

The distance from the x-value of left boundary of the interval that would have a negative slope from x = 0 will be more than the distance of the x-value of the right boundary of the interval

Therefore, the interval over which h has a negative rate of change is -3 ≤ x ≤ 1

Find the value of x if necessary you may learn what the marking on a figure indicate

Answers

Answer:

Step-by-step explanation:

Help!! Stuck on math problem!
Fast answers are appreciated, thanks :)
The graph of the function has a vertical asymptote of x = ______
The graph of the function has a horizontal asymptote of y = ______

Answers

Vertical Asymptotes:
x=0
x=0
Horizontal Asymptotes:
y=0
y=0
No Oblique Asymptotes
Other Questions
please help me thank you how many real solutions does the equation sqrt 2x+4=1/2 x+1 have? Find an equation for the line parallel to 3x-5y=2 with y-intercept (0,1/5). Write the answer in slope-intercept form. Part A How does acid rain form? Gasoline sells for 1.3 euros per liter. What is the price in US dollars per gallon? (recall that 1 gal = 3.785 L) British pound is 1.212 to 0.8251 USD (20x2 12x) + (25x 15)4x(5x 3) + 5(5x 3) Critique an ad that you see on TV or in a magazine. Answer the following questions it:a. What claims are made for the product that is advertised? How is itsupposed to improve your life? A car of mass 500 kg is moving at a speed of 1.2 m/s. A man pushes the car,increasing the speed to 2 m/s. How much work did the man do?A. 640 JB. 360 JC. 1360 JD. 1000 J what percentage of 7 1/2 is 2 1/2 We Lived Happily During the WarBY ILYA KAMINSKYAnd when they bombed other peoples houses, weprotestedbut not enough, we opposed them but notenough. I wasin my bed, around my bed Americawas falling: invisible house by invisible house by invisible house.I took a chair outside and watched the sun.In the sixth monthof a disastrous reign in the house of moneyin the street of money in the city of money in the country of money,our great country of money, we (forgive us)lived happily during the war.1. Title/Author of the poem:2. What is the subject of the poem?3. Describe the speaker of the poem? Is the speaker involved in the action or outside of the action?4. Does the poem represent the speakers feelings at a particular moment in time or does it seem the speaker has had a chance to reflect on the significance of events?5. Identify and briefly explain the tension/conflict in the poem.6. How is the poem organized? Where do the shifts come?7. What is the most important line or sentence in the poem? Why?8. Do you notice any poetic devices used in the poem? In what lines do they appear? (Metaphor, simile, apostrophe, personification, etc.)9. Is there any imagery that stands out to you?10. What is the message or theme of this poem? Define the word socialism, please! A company started the year with $1,500 of supplies on hand. During the year the company purchased additional supplies of $800 and recorded them as increase to the supplies asset. At the end of the year the company determined that only $300 of supplies are still on hand. What is the adjusting journal entry to be made at the end of the period Which of the following does not belong to the group A. Shape B. Line C. Balance D. Texture hank paid #3.50 for 2 hamburgers. how much will he pay for 8 hamburgers? Enter the word that correctly completes the conversation.Anabel: Lorena, vamos a estudiar para el examen.Lorena: S, hay que estudiar en mi casa.Anabel: Dnde vives?Lorena: Mi____ es: Avenida Constituyentes, #35, Colonia Pacheco. Read the scenario. A group of four friends are in class together. They are all members of the school band. After class, one member of the group asks the others if they want to discuss where to have their next practice. All four members decide this is a good idea. Two of the friends suggest their houses for the practice. All members of the group vote on where to have the practice. Which statement best describes the discussion? It is an informal discussion because the people could participate without preparing in advance. It is an informal discussion because the members are using diction appropriate to the topic. It is a formal discussion because the members voted on where to have the practice. It is a formal discussion because the conversation is taking place in a classroom. My iPhone XR screen is popping out. Is it because I dropped it? PLEASE HELP ASAP!!! I WILL GIVE YOU BRAINLIEST!!!! When did Daisy find out Gatsby lived near her How tall is the average 13.5 year old?