when will the sum of two linear expressions with only x-terms be zero

Answers

Answer 1

The sum of the two linear expressions with only terms will be zero when the equations are x + y = a and x - y = -a.

What is an equation?

A set of variables called an equation is one in which two mathematical expressions are equivalent to one another.

Let two linear equations are,

x + y = a

and x - y = b

The sum of the equations,

x + y + x - y = a + b

2x = a + b

x = (a + b)/2

The value of the x should be 0,

(a + b)/2 = 0

a + b = 0

a = - b

To get the sum of linear expressions with only x term, be zero, the coefficient of the linear equations should be equal and with negative sign.

The required linear equations are,

x + y = a

and x - y = -a

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Related Questions

Find the area of the semicircle

Answers

Answer:

3.92yd

Step-by-step explanation:

pi r²÷2

pi 2.5²÷2=3.92

a system of equations is shown below 7x + 3y= 22. 3x - 3y =18 what is the solution to the system of equations​

Answers

4,-2

distribute and combine like terms

Answer:

(4, -2)

Step-by-step explanation:

7x+3y= 22

3x-3y= 18

Add them in vertical columns. 7x + 3x = 10x. The 3y and the -3y cancel each other out. 22+ 18 = 40.

You're left with 10x = 40. Solve for x by dividing both sides by 10

x = 4

Plug in 4 into any of the original equations and solve for y.

7(4) + 3y =22.

28 + 3y =22

Subtract 28 on both sides

You're let with 3y = -6. Solve for y by dividing both sides by 3

y= -2

Put it together in coordinate point form. (4, -2)

Help please!!! I need that answer fast

Answers

Answer:

Step-by-step explanation:

WILL GIVE BRAINLIEST TO BEST ANSWER PLEASE HELP

Answers

Answer A


Formula I=p r t

COPPER:
($1500)(0.07)(3)
=315
TRINITY
($1800)(0.06)(3)
=324

I don’t know if this is correct !!!!!!! Please answer correctly !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

Yes That Is Correct!

Step-by-step explanation:

If all three pairs of corresponding sides are congruent, the triangles are congruent. This congruence shortcut is known as side-side-side (SSS).

BEST OF LUCK IN MATH!

0.96÷104 i dont have big brain

Answers

Answer:

0.00923077

Step-by-step explanation:

thats it

Answer:

Your answer is 0.000096 if your question was 0.96÷10 with a power of 4.

Help, I am unsure about what to do exactly

Answers

You plug in number for number getting 194.8 which is equal to 2931

How many tiles will be in figure 100? EZ COME UP ON POINTS

Answers

Answer

.

[tex]f(100) = 498[/tex]

.

Explain

.

[tex]f(2) = 8[/tex]

[tex]f(3) = 13[/tex]

.

Find b

[tex]3b - 2b = 13 - 8[/tex]

[tex]b = 5[/tex]

.

Find f(1)

[tex]f(1) = f(2) - b[/tex]

[tex]f(1) = 8 - 5[/tex]

[tex]f(1) = 3[/tex]

.

Find f(100)

[tex]f (x)= f(1) + (x - 1)b[/tex]

[tex]f(100) = 3 + (100 - 1)5[/tex]

[tex]f(100) = 3 + (99)5[/tex]

[tex]f(100) = 3 + 495[/tex]

[tex]f(100) = 498[/tex]

.

#LearnWithBrainly

Help I’ll give Brainly est

Answers

Answer:

60 square centimeters

Step-by-step explanation:

8*15/2 = 60

Answer:

Ugh A bad B but C and D seem correct to fit in into your own a jar of yellow

Haley borrows 1000 dollars from her bank.She will pay the loan at a simple annual interest rate of 4% over 4 years.How much will she pay back altogether

Answers

Answer: $49.85

No explanation needed

Solve the system by substitution y=2x-7 -6x+7y=15

HELP PLEASEEEE

Answers

Answer:

x=8 y=9

Step-by-step explanation:

Answer:

x

=

3

and

y

=

2

.

Solve

x

+

5

y

=

7

for

x

.

x

=

7

5

y

Substitute

7

5

y

for

x

into the other equation.

2

(

7

5

y

)

+

7

y

=

8

=

14

10

y

+

7

y

=

8

'

14

3

y

=

8

Subtract

14

from both sides.

3

y

=

6

Divide both sides by

3

.

y

=

2

Substitute

2

for

y

in the first equation.

x

+

5

(

2

)

=

7

=

x

+

10

=

7

Subtract

10

from both sides.

x

=

3

Check by substituting

3

for

x

and

2

for

y

into both equations.

2

x

+

7

y

=

8

=

2

(

3

)

+

7

(

2

)

=

8

=

6

+

14

=

8

=

8

=

8

Check.

x

+

5

y

=

7

=

3

+

5

(

2

)

=

7

=

3

+

10

=

7

=

7

=

7

Check.

Sorry if I'm wrong

Todd plans to run at least 5 miles each week for his health. has a circular route in the neighborhood to run. Once around that route is 420 yards. If runs that route 30 times during the​ week, will he cover at least 5 ​miles? Explain.

Answers

Answer: Yes

Step-by-step explanation:

Given

Once around park measures 420 yards

Todd needs to complete 5 miles

He runs 30 times during the week

We know, [tex]1\ mile=1760\ yards[/tex]

for 30 rounds, distance is

[tex]\Rightarrow 30\times 420=12,600\ \text{yards}[/tex]

In miles, it is

[tex]\Rightarrow 12,600\equiv \dfrac{12,600}{1760}\\\Rightarrow 7.159\approx 7.16\ \text{miles}[/tex]

As he runs more than the target. Therefore, he completed his target of 5 miles.

What is the solution to 3x+2.42 3.0?

Answers

Answer:

x = 0.2

Step-by-step explanation:

I need help on this test. Will give Brainliest to whoever answers first!

Answers

Answer:

C and G.

Step-by-step explanation:

SOMEONEEEE HELLPPPPPPP PLEASE?!??!

Answers

Answer:

(1,4)

Step-by-step explanation:

the Answer is: (x,y)=(1,4)

Two bottles and their labels are mathematically similar.
The smaller bottle contains 0.512 litres of water and has a label with area 96 cm².
The larger bottle contains 1 litre of water.
Calculate the area of the larger label.

Answers

Answer:

The area of the larger label is 187.5 square centimeters.

Step-by-step explanation:

If the two bottles are mathematically similar, then the label area is directly proportional to the capacity of the bottle. If we know that a 0.512 L-bottle has a label area of 96 square centimeters, then the label area of a 1-L bottle is determined by this simple rule of three:

[tex]x = 96\,cm^{2}\times \frac{1\,L}{0.512\,L}[/tex]

[tex]x = 187.5\,cm^{2}[/tex]

The area of the larger label is 187.5 square centimeters.

Can someone help me on this plzzzz

Answers

Answer:

Im not sure which grade you are in, but im gonna say 12? Im pretty sure

Step-by-step explanation:

Use the order of operations to simplify the following expression.

9 + - 4 × 2

41
10
28
90

Answers

The answer I keep getting is 1
so
9 + √ 81 which is 9
= 9 + 9
= 18
18 - 4 x 2
4 x 2 = 8
= 18 - 8
therefore
9 + √81 - 4 × 2
= 10
answer is 10

Are the triangles congruent ? Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

no

Step-by-step explanation:

they are not

Answer:

No

Step-by-step explanation:

because the angles are not equal. If they were they would have the same numbers.

can someone please answer this for me

Answers

4+(3 times x)= height of balloon. x = seconds
i hope this helps!:)

I just need to drag the degrees to their corresponding parts attached (Angles in Circles) please help I don’t which ones would be correct

Answers

9514 1404 393

Answer:

DF = 75°FBE = 105°FC = 60°CBE = 45°DAC = 225°ABE = 135°AFE = 225°ABF = 120°

Step-by-step explanation:

AC and DE are diameters, so divide the circle into equal portions that have a total angle measure of 180°.

  angle ABD = 180° -angle DBF - angle FBC = 180° -75° -60°

  angle ABD = 45°

angle CBE is a vertical angle to angle ABD, so has the same measure, 45°.

angle ABE is supplementary to angle CBE, so has measure 180° -45° = 135°. Long arc AE is 360° less this value, so is 360° -135° = 225°. Vertical angle DBC has the same measure as angle ABE, so long arc DAE will also be 225°.

angles FBC and CDE add to make angle FBE, so that angle is ...

  angle FBE = 60° +45° = 105°

Find mDE. Round your answer to the nearest hundredth.

Answers

Answer:

[tex]50.04[/tex]

Step-by-step explanation:

Use this formula for arc length

[tex]2\pi \times r( \frac{x}{360} )[/tex]

where r is the radius and x is the arc measure.

We know Arc de is 8.73 so we are finding x.

R equal 10.

[tex]2\pi \times 10( \frac{x}{360} ) = 8.73[/tex]

[tex]20\pi( \frac{x}{360} ) = 8.73[/tex]

[tex]20\pi \times x = 3142.8[/tex]

[tex]x = \frac{3142.8}{20\pi} [/tex]

x=50.04

The value of the angle will be 50.04.

What will be the angle?

It is given in the question that

The arc of the circle A=8.73 In

The radius of the circle =10 In

Now from the formula of arc

[tex]A=2\pi r(\dfrac{\theta}{360} )[/tex]

[tex]8.73=2\pi 10\times \dfrac{\theta }{360}[/tex]

[tex]\theta = \dfrac{8.73\times 360 }{ 2\pi\times 10} =50.04[/tex]

[tex]\theta=50.04[/tex]

Thus the value of the angle will  be 50.04

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Every day, the Clark Pet Store uses 1 1/2 bags of dog food to feed the dogs. How many days will 7 1/2 bags of dog food last?

Write your answer as a fraction or as a whole or mixed number.

Answers

Answer:

5 days

Step-by-step explanation:

1.5/5=7.5

Hope this helps!

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer:

The first one.

Step-by-step explanation:

1. 2,500,000

2. 360,000

No links!

Factor 5/6 out of 5/6z+15

Answers

Answer:

5/6z+15

heart if it helped!

David kicks a soccer ball off the ground and in the air, with an initial velocity of 35 feet per second. Using the formula H(t) = −16t2 + vt + s, what is the maximum height the soccer ball reaches?

17.9 feet
18.2 feet
18.7 feet
19.1 feet

Answers

The answer is 18.2 feet that is the right answer

Answer:

The correct answer is  19.1 feet

Step-by-step explanation:

I took the test and got it right (see the attachment below)

Find the value of x.

Answers

Answer:

x = 30°

Step-by-step explanation:

< A = 90° {Being vertically opposite angles }

Now

x + 90° + 2x = 180° (Being linear pair)

3x = 180° - 90°

3x = 90°

x = 90° / 3

x = 30°

Hope it will help :)❤

What are the coordinates of the outlier in this scatter plot?

A: (2, 1)
B: (4, 11)
C: (17, 11)
D: There is no outlier in this scatter plot.

Answers

B (4,11) if you look at the graph it’s the only coordinate furthest away from your data.

A class collects data on the number of movie tickets purchased and total cost of those tickets. The class plots the data on a scatter plot. Which statement best interprets their results

Answers

Answer:

what are your options?

Step-by-step explanation:

A negative number with an absolute value less than 4.

Answers

Answer:

-3, -2, or -1

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last year, T-Bills returned 2.2 percent while your investment in large company stocks earned an average of 8.1 percent, which one of the following terms refers to the difference between these two rates of return?O risk premiumO geometric average returnO arthimetic avg returnO standard deviationO variance Fill in the blanks: 1. The Sufi and Bhakti saints brought people of all. closer What does an epic hero represent? 4000 Words Report Imagine you are in charge of an organisational risk management strategy across three distinct departments of the organisation. 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What happened to slaves after the abolition of slavery? a toy cannon is fixed to a small cart and both move to the right with speed v along a straight track, as shown above. the cannon points in the direction of motion. when the cannon fires a projectile the cart and cannon are brought to rest. if m is the mass of the cart and cannon combined without the projectile, and m is the mass of the projectile, what is the speed of the projectile relative to the ground immediately after it is fired? What is the program formerly known as food? At a real estate agency, an agent sold a house for $375,000. The commission rate is 6.5% for the real estate agency and the commission rate for the agent is 25% of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission? Dr. Bert Vogelstein and his partners study the causes of cancer. In 2017, they published a study of 32 types of cancer. 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