Can anyone solve this for me?
1 answer:
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Answer:
x = 5 or x = 1
Step-by-step explanation:
Absolute Value Equation entered :
3|3x-9|=18
Step by step solution :
Step 1: Rearrange this Absolute Value Equation
Absolute value equalitiy entered
3|3x-9| = 18
Step 2: Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is 3|3x-9|
For the Negative case we'll use -3(3x-9)
For the Positive case we'll use 3(3x-9)
Step 3: Solve the Negative Case
-3(3x-9) = 18
Multiply
-9x+27 = 18
Rearrange and Add up
-9x = -9
Divide both sides by 9
-x = -1
Multiply both sides by (-1)
x = 1
Which is the solution for the Negative Case
Step 4: Solve the Positive Case
(3x-9) = 18
Multiply
9x-27 = 18
Rearrange and Add up
9x = 45
Divide both sides by 9
x = 5
Which is the solution for the Positive Case
Step 5: Wrap up the solution
x=1
x=5
Solutions on the Number Line
Two solutions were found :
x=5
x=1
Answer:
157.1
Step-by-step explanation:
If you split the blue shape like in the picture, it shows that there is 1 large semicircle and 2 smaller ones.
The area of a semicircle is (pi×radius²)÷2
First, you would find out the area of the large semicircle by substituting in the numbers:
(3.142×10²)÷2=157.1
Then you would find out the area of the smaller semicircle:
The diameter of the semicircle is 10 so to find the radius you would half it.
(3.142×5²)÷2=39.275
To find the area of the whole shape, you would have to take away 39.275 and then add it back on so the answer would be 157.1
Hope this helps :)
