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

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)

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.      

helppppppppppppppppp

Answers

Answer:

Click the third one.

Answer:

3rd one

Step-by-step explanation:

Mark me brainliest pls

Hope this helps!

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

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!

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

Answers

? Hm maybe the slope would be -4 over 1

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

the answer to the question please

Answers

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

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

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

Triangle NJK is similar to triangle LMK by​

Answers

Answer:

B

Step-by-step explanation:

SAS cuz ML~NJ and K is common angle

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.

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

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

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]

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

Answers

Answer:

D

Step-by-step explanation:

Lsh=rhs

U solve using algebra

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 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

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

Answers

Answer:

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

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. 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

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

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

Answers

Answer:

Step-by-step explanation:

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:

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

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

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

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

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

Answers

Try 62 but I’m not 100%
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