Answer:
it is about 30 times larger
Step-by-step explanation:
I know because I am related to Albert Einstein and because I'm really smart. I have 2 awards for being smart.
Answer: the answer is axis of 3
Step-by-step explanation:
I feel like it the answer is A
The function g(x) is created by applying an <em>horizontal</em> translation 4 units left and a reflection over the x-axis. (Correct choices: Third option, fifth option)
<h3>How to determine the characteristics of rigid transformations by comparing two functions</h3>
In this problem we have two functions related to each other because of the existence of <em>rigid</em> transformations. <em>Rigid</em> transformations are transformations applied to <em>geometric</em> loci such that <em>Euclidean</em> distance is conserved at every point of the <em>geometric</em> locus.
Let be f(x) = - 2 · cos (x - 1) + 3, then we use the concept of <em>horizontal</em> translation 4 units in the + x direction:
f'(x) = - 2 · cos (x - 1 + 4) + 3
f'(x) = - 2 · cos (x + 3) + 3 (1)
Now we apply a reflection over the x-axis:
g(x) = - [- 2 · cos (x + 3) + 3]
g(x) = 2 · cos (x + 3) - 3
Therefore, the function g(x) is created by applying an <em>horizontal</em> translation 4 units left and a reflection over the x-axis. (Correct choices: Third option, fifth option)
To learn more on rigid transformations: brainly.com/question/1761538
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Answer:
x = 24 , y = 19
Step-by-step explanation:
(2x + 13) and 47 + 3x are same- side interior angles and sum to 180° , so
2x + 13 + 47 + 3x = 180 , that is
5x + 60 = 180 ( subtract 60 from both sides )
5x = 120 ( divide both sides by 5 )
x = 24
Then 3x = 3 × 24 = 72
5y - 23 and 3x are corresponding angles and are congruent , then
5y - 23 = 72 ( add 23 to both sides )
5y = 95 ( divide both sides by 5 )
y = 19
