1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Phoenix [80]
3 years ago
5

Simplify:

Mathematics
1 answer:
Serga [27]3 years ago
3 0

Answer:

(a) 16-2x

(b)-x-2 or x+6

(c)

Step-by-step explanation:

(a)

|6-x|+|x-10|,

|4-x|=4-x,so x<4

|2-x|=x-2=-(2-x)

2-x<0

2<x

or x>2

2<x<4

so |6-x|=6-x,in 2<x<4

|x-10|=-(x-10),in 2<x<4

|6-x|+|x-10|=6-x-(x-10)=6-x-x+10=16-2x

(b)

2-|2-|x-2||,if x<-2

|x-2|=-(x-2) if x<-2

=2-|2-{-(x-2)}|

=2-|2+x+2|

x<-2

x+2<0

=2-|x+4|

=2-(x+4),if x>-4,or -4<x<-2

=2-x-4

=-x-2

if x<-4

then |x+4|=-(x+4)

2-|x+4|=2-{-(x+4)}

=2+x+4

=x+6

You might be interested in
What is 7 1/12 - 2 3/4 in simplest form
stich3 [128]

7 1/12  -  2 3/4

First we have to change mixed numbers to improper fractions

7 1/12  =  7 x 12 + 1 = 85   85/12

2 3/4  =  2 x 4 + 3 =  11     11/4

 85/12 - 11/4

Now we need to find the LCD (least common denominator) for 4 and 12

4, 8, 12

12

12 is our LCD, so it becomes our new denominator

85/12 would stay the same because the denominator wasn't changed but for 11/4 our new denominator is 12, so our fraction will change.

11/4  =  33/12 

4 goes into 12, 3 times. What you do to the bottom, you do to the top.

3 x 11 = 33

3 x 4 = 12

So, our new fraction is 33/12.  Now we subtract

85/12  -  33/12  =  52/12

Now we convert back to a mixed number

52 ÷ 12 = 4 4/12 reduce

4 1/3

Hope this helps.


6 0
4 years ago
What kind of angles are they
Yuliya22 [10]

Answer:

Alternate Interior Angles

Step-by-step explanation:

The angles are on opposite sides of the transversal and are in between the parallel lines. This means they are alternate Interior Angles. Additionally, this means they are congruent, so 15x=12x+15, which gives us x=5, and the measurements of the angles are 75° each.

3 0
3 years ago
9. Zuleyka compró una bicicleta por $149. Pagó un pronto de $50. Si pagó $9
kompoz [17]

Answer:

h s m s dhoni bold sin men farhan akhtar ne

5 0
3 years ago
The answer for the problem above. Can someboby heple me.
Elden [556K]
I’m not gonna lie I don’t know the answer I’m just answering random questions to get points I’m so sorry
4 0
3 years ago
Sonia uses $12.50 to buy a new journal. She has $34.25 left in her savings account. How much money did Sonia have before she bou
GalinKa [24]
So all you have to do to find out how much she had before is add up both value 12.50+34.25=   46.75$ (answer)

because y-12.50=34.25 so you would have to had the 12.5 to the other side to find the value of Y
3 0
3 years ago
Other questions:
  • Is 5000 cm greater than 5 m
    13·2 answers
  • If segment AB segment BC and m&lt;3 =36, find m&lt;4
    8·1 answer
  • Determine whether the following statements are True or False.
    5·1 answer
  • Each of these circles represents a pizza cut into 10 equal slices, and the yellow slices are the ones eaten by Larry.
    13·2 answers
  • Terrence and Lee were selling magazines for a charity. In the first week, Terrance sold 30% more than Lee. In the second week, T
    11·1 answer
  • You roll a six-sided die. How likely is it that you roll a number greater than 6?
    9·2 answers
  • Solve the equation -0.5y = -0.73
    11·2 answers
  • URGANT!!!!! Rhoda pays for internet access each month. the graph shows the relationship between the total amount and she has pai
    13·1 answer
  • The linear function graphed below represents Brenda’s monthly cell phone bill based on the number of hours she uses. What is her
    13·1 answer
  • A sweater costs d dollars at regular
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!