The difference of two fractions is 1/8? 1/2 , 2/10, 1/6, 3/8
1 answer:
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Answer:
Option D. Slope is 1 if the line is vertical
Step-by-step explanation:
we have
Part A) Slope is a measure of the steepness of the line
The statement is true
Because, the steepness of a line is measured by the absolute value of the slope.
Part B) Slope is the ratio of vertical change to horizontal change
The statement is true
Because the formula to calculate the slope between two points is equal to
so
Is the ratio of vertical change to horizontal change
Part C) Slope is zero if the line is horizontal
The statement is true
Because If the line is horizontal, the y-coordinate of two points is the same
therefore
The vertical change is equal to zero
Part D) Slope is 1 if the line is vertical
The statement is Not true
Because, if the line is vertical the slope is undefined
Using the stated transformation, the graph of g(2x) is given at the end of the answer.
<h3>Horizontal stretch and compression</h3>An horizontal stretch or an horizontal compression happens when a constant is multiplied at the domain of the function, as follows:
g(x) = f(ax).
The definition of stretch or compression depends on the value of the constant a, as follows:
- If a > 1, it is a compression by a factor of 1/a.
- If a < 1, it is a stretch by a factor of 1/a.
In this problem, the rule is:
f(x) = g(2x).
Meaning that f(x) is an horizontal compression by a factor of 1/2 of g(x), and then the vertices are given as follows:
- (0,0).
- (1,-4).
- (2,-2).
That is, in each vertex, the x-coordinate was divided by 2, and thus the graph with these vertices is given at the end of the answer.
More can be learned about transformations at brainly.com/question/28725644
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