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
Kruka [31]
2 years ago
14

|x - 12| = 4 please provide an explanation

Mathematics
1 answer:
geniusboy [140]2 years ago
4 0

Answer: x = 16, x = 8

Step-by-step explanation:

|a| > 0, there are two solutions

|a| = 0, there is one solution

|a| < 0, there are no solutions

So, in this problem, we have two solutions.

In absolute value, the expression inside can be equal to itself OR its opposite.

Ex: |y| = y, |y| = -y

So, we can write two equations:

x - 12 = 4, x = 16

-x+12 = 4, x = 8

Check: |16 - 12| = |4| = 4

Check: |8 - 12| = |-4| = 4

You might be interested in
(Marking Brainliest) What is the vertex form of the equation?<br><br>y = x^2 - 4x + 7​
AysviL [449]

Step-by-step explanation:

y = x² - 4x + 7

the general vertex form is

y = m(x-h)² + k

to bring the part "x² -4x" to an expression of (ax + b)² we need to add 4, as "x² - 4x + 4" = (x - 2)².

and since we add 4 there, we need to subtract 4 overall again to keep the value of the expression the same :

y = x² - 4x + 4 + 7 - 4 = (x - 2)² + 7 - 4 = (x - 2)² + 3

and so, that is the vertex form :

y = (x - 2)² + 3

4 0
2 years ago
The house Trevor's family lives in has 6 66 people (including Trevor) and 3 33 bathrooms. In the past month, each person showere
yKpoI14uk [10]

Answer:

The amount Trevor's family pay per minute on shower water is $0.005.

Step-by-step explanation:

The cost of water is,

Cost = $0.20/liter

Amount of water used over the entire month:

Amount of water used = 72 liters

Compute the total water cost as follows:

Total water cost = Amount of water used × Cost

                           = 72 × 0.20

                           = $14.4/liter

The average number of minutes each person showered is:

Average number of minutes = 480 minutes.

The number of people in Trevor's house:

N = 6

Compute the total amount of time the 6 person showered as follows:

Total amount of time = Average number of minutes × N

                                   = 480 × 6

                                   = 2880 minutes

Compute the pay per minute on shower water as follows:

Pay per minute on water = Total water cost ÷ Total amount of time

                                          = $14.4 ÷ 2880

                                          = $0.005

Thus, the amount Trevor's family pay per minute on shower water is $0.005.

4 0
3 years ago
If y=-12 when x=9, find y when x=-4<br> please answer quickly
pychu [463]

Answer: x=3

Step-by-step explanation:

to make y=-4 from -12 you have to divide by 3. so divide the 9 by 3 to get 3 which is your answer

7 0
2 years ago
Help!!!!!
photoshop1234 [79]
<span>c) 45 degrees west of south</span>
7 0
2 years ago
Read 2 more answers
Which of the following is a solution of x^2 2x = −2?
dem82 [27]
x^2+2x=-2\\&#10;x^2+2x+1=-1\\&#10;(x+1)^2=-1\\&#10;x+1=\sqrt{-1}\vee x+1=-\sqrt{1}\\&#10;x=-1+i \vee x=-1-i&#10;
3 0
2 years ago
Other questions:
  • Please answer it 20 points.
    7·1 answer
  • Celebs family room has dimensions of 3 7/8 length and 5 1/4 width. What is the area?
    10·2 answers
  • Leo needs 10 red roses and 15 pink daisies for every 5 bouquets he makes for a flower shop. Drag red roses and pink daisies into
    14·1 answer
  • Please help! 15 points!
    7·2 answers
  • What is the domain of the function y=2 square root x-6
    14·1 answer
  • Please help with math ASAP, will give brainliest!!
    5·1 answer
  • ASAP!<br> find the slope of a line that is perpendicular to y=-1/2x+4
    15·2 answers
  • Help please!! thank you
    14·1 answer
  • The number of students using a certain university's online programs has been increasingly exponentially each year since 2010. Th
    8·2 answers
  • Keisha borrowed money from a bank to buy a fishing boat.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!