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
The real zeros of a function are when the function touches or crosses the x-axis. In terms of the following linear functions, the real zeros will be the value of x when y = 0. So we simply set each equation equal to zero and solve for the x-values.
1.) y = -5x - 7
0 = -5x - 7
5x = -7
x = -7/5
The real zero is at point (-7/5, 0) and is therefore option d) -7/5.
2.) y = -7x + 3
0 = -7x + 3
7x = 3
x = 3/7
The real zero is at point (3/7, 0) and is option b.) 3/7.
3.) y = -7x + 8
0 = -7x + 8
7x = 8
x = 8/7
The real zero is at point (8/7, 0) and is option a.) 8/7.
4.) y = 3x + 1
0 = 3x + 1
-3x = 1
x = -1/3
The real zero is at point (-1/3, 0) and is option b.) -1/3.
Answer:
C. Use a straightedge to measure the length of the line segment.
Step-by-step explanation:
Two or more lines are said to be congruent when they are approximately equal in length to each other. Construction of congruent line segments involves some steps. And these steps require the use of appropriate constructing instruments and materials.
The given question gives options from which one is a correct step for constructing congruent line segments. The appropriate step from the options given is C. A straightedge can be used to measure the length of the line segment.
Answer: ???
Step-by-step explanation: Greatest common factor is the biggest factor of a number