For the definition of <em>horizontal</em> compression, the function f(x) = x² is horizontally compressed to the function g(x) = (k · x)², for 0 < k < 1.
<h3>How to find the resulting equation after applying a compression</h3>
Here we must narrow a given function by a <em>rigid</em> operation known as compression. <em>Rigid</em> transformations are transformations in which <em>Euclidean</em> distances are conserved. In the case of functions, we define the horizontal compression in the following manner:
g(x) = f(k · x), for 0 < k < 1 (1)
If we know that f(x) = x², then the equation of g(x) is:
g(x) = (k · x)², 0 < k < 1
For the definition of <em>horizontal</em> compression, the function f(x) = x² is horizontally compressed to the function g(x) = (k · x)², for 0 < k < 1.
To learn more on rigid transformations: brainly.com/question/1761538
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First, x=1 is a vertical line. A line that is perpendicular would be horizontal so it would have a slope of 0. A line parallel to it would be vertical too so it would have and infinite gradient.
Answer:
10 feet
Step-by-step explanation:
18-8=10 so the remaining 10 feet is what he needs to descend.
Answer:
20
Step-by-step explanation:
According to Euclidian theorem:
h^2 = AD*CD (h is the height, DB in this case)
rewrite the equation by using given values
10^2 = 5*CD find the square value of 10
100 = 5*CD divide both sides by 5
20 = CD
The greatest common factor of 76 and 675 is 1
