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

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

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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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.

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!

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)

A negative number with an absolute value less than 4.

Answers

Answer:

-3, -2, or -1

Help please!!! I need that answer fast

Answers

Answer:

Step-by-step explanation:

can someone please answer this for me

Answers

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

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.

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

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°

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:

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

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.

No links!

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

Answers

Answer:

5/6z+15

heart if it helped!

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:

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

Answers

Answer:

C and G.

Step-by-step explanation:

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

Find the area of the semicircle

Answers

Answer:

3.92yd

Step-by-step explanation:

pi r²÷2

pi 2.5²÷2=3.92

Help, I am unsure about what to do exactly

Answers

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

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)

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!

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 :)❤

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

SOMEONEEEE HELLPPPPPPP PLEASE?!??!

Answers

Answer:

(1,4)

Step-by-step explanation:

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

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.

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

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

What is the solution to 3x+2.42 3.0?

Answers

Answer:

x = 0.2

Step-by-step explanation:

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.
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