The radius of the circle expressed as a mixed number is: inches.
Radius of a circle = half the measure of the diameter of a circle.
Given:
diameter of a circle = inches
Therefore:
Radius of the circle = 1/2()
= 1/2(47/6)
= (1 × 47)/(2 × 6)
= 47/12
= inches.
Therefore, the radius of the circle expressed as a mixed number is: inches.
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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:
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:
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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