Question

1)|y-18|=0 2)|x-4|=6 3)|x+1|=3 4)4,9(|x)=|-168,29|

Answer 1

1)|y-18|=0
    |y|=18
     y=18
2)|x-4|=6
   |x|=6+4
   |x|=10
x=10
3)|x+1|=3
   |x|=3-1
  x=2
4)4,9(|x)=|-168,29|
    |x|= -4,9:|-168,29|
x=0,3

 

Answer 2

|y-18|=0
y=18

|x-4|=6
x=6+4
x=4-6
x=10; -2

|x+1|=3
x=3-1
x=-3-1
x=2;-2

4,9|x|=|-168,29|
4,9|x|=168,29
|x|=168,29/4,9
|x|=-168,29/4,9

Answer 3

Let's solve each of the equations step by step:

1. |y-18| = 0

Since the absolute value of any number is non-negative, it can only be equal to zero if the expression inside the absolute value is also zero.

y - 18 = 0 y = 18

So the solution to this equation is y = 18.

2. |x-4| = 6

Similar to the previous equation, the absolute value will be equal to 6 if the expression inside the absolute value is either 6 or -6.

x - 4 = 6 x = 6 + 4 x = 10

or

x - 4 = -6 x = -6 + 4 x = -2

So the solutions to this equation are x = 10 and x = -2.

3. |x+1| = 3

Again, the absolute value will be equal to 3 if the expression inside the absolute value is either 3 or -3.

x + 1 = 3 x = 3 - 1 x = 2

or

x + 1 = -3 x = -3 - 1 x = -4

So the solutions to this equation are x = 2 and x = -4.

4. 4 * |x| = |-168, 29|

This equation seems to be unclear as it mixes different notations. We cannot proceed without knowing what |-168, 29| means. If you can clarify the notation used in this equation, I would be happy to help you solve it. It seems like there might be a typo or misunderstanding in this equation.

If it's meant to be an absolute value of a number, then we can solve it accordingly:

4 * |x| = |168, 29|

Since 4 * |x| will always be non-negative (for real values of x), the right-hand side, |168, 29|, should represent the distance between two numbers 168 and 29. However, distance is always positive, so there is no real value of x that can satisfy this equation.

Please clarify the notation if you meant something different or if there was a typo. Otherwise, I hope the solutions to the first three equations were helpful.