It’s not my answer but I think it’s correct!
The solutions to the given equation containing absolute value term |3x-7| - 7 = x are 0 and 7.
<h3>What are the solutions to the given equation?</h3>
Given the equation in question;
|3x-7| - 7 = x
First, add 7 to both sides.
|3x-7| - 7 + 7 = x + 7
|3x-7| = x + 7
Next, remove the absolute value term, this creates a ± on the right side of the question.
|3x-7| = x + 7
3x-7 = ±( x + 7 )
The complete solution is the result of both the negative and positive portions of the solution.
For the first solution, use the positive of ±.
3x-7 = ( x + 7 )
3x - 7 = x + 7
3x - x = 7 + 7
2x = 14
x - 14/2
x = 7
For the second solution, use the negative of ±.
3x-7 = -( x + 7 )
3x-7 = -x - 7
3x + x = -7 + 7
4x = 0
x = 0/4
x = 0
Therefore, the solutions to the given equation containing absolute value term |3x-7| - 7 = x are 0 and 7.
Learn to solve more equation involving absolute value term here: brainly.com/question/28635030
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SA = LH + LW + WH + 2(1/2LH)
SA = 4*2 + 5*2 + 3*2 + 2*1/2*4*3
SA = 8 + 10 + 6 + 12
SA = 36
Answer:
h = 3.62
Step-by-step explanation:
First, as both triangles have the same angles we can use the relationship of areas and sides corresponding to similar triangles as follows:
Now we know that the new triangle has sides of 4.18. Then, as these triangles are equilateral we can use the Pythagorean Theorem to find the height:
Finally the height of this new triangle is 3.62 cm
Answer:
Following equations represents a linear function:
y = 6x
y = 4x - √2
x – 4y = 6
Step-by-step explanation:
We know that a linear function is of the form
where m is the rate of change or slope and b is the y-intercept.
Please note that y = mx+b represents a straight line because the degree of a linear function is always 1.
Now, let us check whether the given functions represent the linear functions or not.
Checking y = 6x
y = 6x
