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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The third digit from the right is in the hundred place. Therefore, 0 is the hundred of 50,000
<h3>
Answer: 8.2 (choice B)</h3>
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Explanation:
First we'll need the length of segment BD, which I'll call x for now. The similar triangles allow us to set up the proportion below to solve for x
AD/BD = BD/DC
13/x = x/4
13*4 = x^2
52 = x^2
x^2 = 52
x = sqrt(52)
Segment BD is exactly sqrt(52) units long.
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Now focus your attention on triangle BDC. We'll use the pythagorean theorem to find BC
(BD)^2 + (DC)^2 = (BC)^2
( sqrt(52) )^2 + ( 4 )^2 = ( m )^2
52 + 16 = m^2
68 = m^2
m^2 = 68
m = sqrt(68)
m = 8.2462 approximately
m = 8.2
Answer:
the answer will be verified by an expert. Until then, talk to a tutor.
The answer you get will pretty much already have a zero in it ...so thats why
