What is the function of the line?

Given:

The expression is

[tex]\dfrac{2}{a-2}-\dfrac{8}{a^2-4}[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex]\dfrac{2}{a-2}-\dfrac{8}{a^2-4}[/tex]

It can be written as

[tex]=\dfrac{2}{a-2}-\dfrac{8}{a^2-2^2}[/tex]

[tex]=\dfrac{2}{a-2}-\dfrac{8}{(a-2)(a+2)}[/tex]            [tex][\because a^2-b^2=(a-b)(a+b)][/tex]

Taking LCM, we get

[tex]=\dfrac{2(a+2)-8}{(a-2)(a+2)}[/tex]

[tex]=\dfrac{2a+4-8}{(a-2)(a+2)}[/tex]

[tex]=\dfrac{2a-4}{(a-2)(a+2)}[/tex]

[tex]=\dfrac{2(a-2)}{(a-2)(a+2)}[/tex]

Cancel out the common factors.

[tex]=\dfrac{2}{a+2}[/tex]

Therefore, the simplified form of the given expression is [tex]\dfrac{2}{a+2}[/tex].

Answer:

yes 12

Step-by-step explanation:

beeeppppppp

Answer:

Explanation:

12.8² + 5.3² = 191.93

√191.93

= 13.8538803229

Round the answer

13.9

D.kite

youre welcome hihihi

Answer:

552.5

Step-by-step explanation:

2/5x + 68 = 289

2/5 x = 289 - 68

2/5x       = 221

x = 221  * 5/2 = 552.5

I hope im right!!!

Answer:

even  :D

Step-by-step explanation: :D

Answer:

50 oranges

Step-by-step explanation:

4 kg is 4000 g

then, you would:

4000/80

= 50 oranges

[tex]\sqrt{5}[/tex] is in between 2 and 3

[tex]\sqrt{105}[/tex] is in between 10 and 11

[tex]\sqrt{99}[/tex] is in between 9 and 10

[tex]\sqrt{27}[/tex] is in between 5 and 6

[tex]\sqrt{2}[/tex] is in between 1 and 2

[tex]\sqrt{67}[/tex] is in between 8 and 9

[tex]\sqrt{133}[/tex] is in between 11 and 12

[tex]\sqrt{90}[/tex] is in between 9 and 10

Answer:

[tex] \sqrt{5} = 2.24[/tex]

[tex] \sqrt{105} = 10.24[/tex]

[tex] \sqrt{99 } = 9.95[/tex]

[tex] \sqrt{27} = 5.2[/tex]

[tex] \sqrt{2} = 1.4[/tex]

[tex] \sqrt{133} = 11.53[/tex]

[tex] \sqrt{90} = 9.49[/tex]

[tex] \sqrt{67} = 8.16[/tex]

without being able to read the question at the top, I can not tell you what you should do, but these are the square roots of each number.

Answer:

86.7

Step-by-step explanation:

the circumference = 2 x pi x radius

13.8x2.3.14=86.7

Answer:

87

Step-by-step explanation:

there you go

Answer:

105

Step-by-step explanation: because when you look at North main Street and East 1st Street the angle is obtuse and 105 is the only obtuse angle.

Answer:

i dont know sry for the bother

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

that's the only graph that actually matches the coordinates

Answer:

i gotchu step sis u need help with them laundry's

Step-by-step explanation:

Answer:

Answer:

answer is 8

Step-by-step explanation:

put the equations equal to each other

then simplify

it is bcz of a angle type of parallel lines

corresponding angle

Step-by-step explanation:

Answer: Here are all the answers for the previous question you asked with the worksheet it said you deleted the question so I put it all on this one.

1. (1,-2), (0,-5), (-1,-8), (2,-11)

2.(5,3), (8,4), (11,5), (14,6)

3.(11,5), (6,1), (1,-3), (-4,-7)

4.(3,0), (3,2), (3,4), (3,6)

5-6.   I can't see the number on the graph to well so maybe try making another question and send a better picture of the graphs

8. [tex]f^{-1}[/tex](x)=[tex]\frac{5x}{6}[/tex]+[tex]\frac{5}{2}[/tex]

9.[tex]f^{-1}[/tex](x)=[tex]\frac{3x}{4}[/tex]-[tex]\frac{1}{2}[/tex]

10. [tex]f^{-1}[/tex](x)=2x+[tex]\frac{1}{3}[/tex]

11. [tex]f^{-1}[/tex](x)=[tex]\frac{x}{9}[/tex]-[tex]\frac{4}{3}[/tex]

12. [tex]f^{-1}[/tex](x)=[tex]\frac{x}{5}[/tex]-6

13. [tex]f^{-1}[/tex](x)=[tex]\frac{7x}{2}[/tex]+[tex]\frac{3}{2}[/tex]

14. [tex]f^{-1}[/tex](x)=[tex]\frac{3x}{2}[/tex]+6

15. [tex]f^{-1}[/tex](x)=[tex]\frac{3x}{5}[/tex]+[tex]\frac{18}{5}[/tex]

16. [tex]f^{-1}[/tex](x)=-5x+12

17. [tex]f^{-1}[/tex](x)=[tex]\frac{-8x}{5}[/tex]+8

18. [tex]f^{-1}[/tex](x)=-2x-5

19. [tex]f^{-1}[/tex](x)=[tex]\frac{-5x}{2}[/tex]-[tex]\frac{3}{2}[/tex]

20.

a. D(x)=5x+20

b.[tex]D^{-1}[/tex](x)=[tex]\frac{x}{5}[/tex]-4

c. Every mile that Jenny runs

Answer:

true

Step-by-step explanation:

just memorise it ........

Answer:

305

Step-by-step explanation:

sorry if im not right

Answer:

slope={-8-7}/{5--4)=-15/9=-5/3

we use - × -=+

jackson

Step-by-step explanation:

Answer:

58.3

Step-by-step explanation:

Answer:

3mph

Step-by-step explanation:

his speed per hour will be 3 miles per hour

Answer:

4

0+0+0+5+6=7+10 = 28

28 divided by 7 is 4

To find mean you need to add up all the numbers then divided them by the total number of numbers there are. 0+0+0+5+6=7+10 has 7 numbers so I divided 28 by 7.

Brainliest?

Answer:

t53

Step-by-step explanation:

Answer:

17 and 13

Step-by-step explanation:

So you can set up an equation:

let x be the greater number

this means that the smaller number would be 4 less than x, because their difference is 4, so x - 4.

The sum is 30, so x + (x - 4) = 30

Then, solve:

x + (x - 4) = 30

x + x - 4 = 30

combine like terms

2x - 4 = 30

add 4 to both sides

2x = 34

divide both sides by 2

x= 17

Now you know the greater number is 17. Since they have a difference of 4, you can do 17 - 4 = 13 to get the smaller number.

The numbers are 17 and 13

Answer:

ubstitute the value of the radius r = 8.0 cm height h = 12.0 cm into the formula to find the volume. Pi (π) is approximately equal to 3.14 .

π x 82 cm2 x 12 cm

Raise 8 cm power of 2

π x 64.0 cm2 x 12 cm

Multiply 64.0 cm2 and 12 cm

π x 768.0 cm3

Combine π and 768.0 cm3

The result can be shown in multiple forms.

Exact Form

Volume = 768.0π cm3

∴ Volume of Cylinder radius 8 cm and height 12 cm is 768.0π cm3

Decimal Form

Volume = 2411.52 cm3

Step-by-step explanation:

Answer:

−18x+24y

Step-by-step explanation:

sorry if its wrong

Answer:

He will have $5.50 left to spend.

Step-by-step explanation:

Answer:

the percentage did the stock decline is 4%

Step-by-step explanation:

The computation of the percentage did the stock decline as follows:

= Lost value ÷ original price

= $1.18 ÷ ($1.18 + $28.32)

= $1.18 ÷ $29.50

= 4% decline

Hence, the percentage did the stock decline is 4%

Answer:

0.485 in decimals

The mean cost of transportation is £20.80

The peace of data that distorts the mean average is the taxi fares.

Step-by-step explanation:

Since the mean is the average, you add all the piece of date together then divide by the amount of data.

The equation for that would look something like this:

[tex](8.5 + 7 + 5.7 + 62) \div 4[/tex]