By the knowledge on <em>absolute</em> values, <em>functional</em> theory and <em>rigid</em> transformations and given that the function f(x) = |x|, the function g(x) = f(x - 4) is equal to |x - 4|.
<h3>How is a second function in comparison with a given one?</h3>
According to the image attached herein, the function f(x) is an <em>absolute</em> value and the function g(x) results from translating f(x) in +x direction, representing a kind of <em>rigid</em> transformation as <em>Pythagoran</em> distance at every point of the function is conserved.
There, we can define the function g(x) as follows:
g(x) = f(x - k), for k > 0 (1)
By the knowledge on <em>absolute</em> values, <em>functional</em> theory and <em>rigid</em> transformations and given that the function f(x) = |x|, the function g(x) = f(x - 4) is equal to |x - 4|.
To learn more on absolute values: brainly.com/question/1301718
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The slopes of two lines are equal which means that the lines are parallel.
Further explanation:
The slopes of lines are used to find the relationship between two line.
- If two lines are parallel, then their slopes will be equal.
- If two lines are perpendicular, the product of slopes of both lines will be -1
The standard form of equation of line is:
The coefficient of x is the slope here.
y=1/3x+4
Let m1 be the slope of first line:
Let m2 be the slope of second line
We can see that:
The slopes of two lines are equal which means that the lines are parallel.
Keywords: Parallel Lines, Perpendicular Lines
Learn more about lines at:
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Answer:
1.53
Step-by-step explanation:
Answer:
y < 160
Step-by-step explanation:
y + 20 < 180
-20 < -20
y < 160
y is less than 160
Answer: 3 minutes and 45 seconds
Step-by-step explanation: first, you divide 15 by 4 and that's your answer. Hope this helps!
