Answer:
yes
Step-by-step explanation:
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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Area of shaded region is 18π square unit.
<u>Step-by-step explanation:</u>
Given :- A circle with center O and radius 9 cm
To Find :- area of shaded region that is area of ABC
Solution : - BC = 9 cm
∠ABC = 80° = Ф
so, area of sector = πr²Ф / 360°
= (π×9×9×80) /360°
= 18π square unit
hence, area of shaded region is 18π square unit
X + 1/4x + 1/5x = 58
20/20x + 5/20x + 4/20x = 58
29/20x = 58
x = 58 * 20/29
x = 1160/29 = 40 <== the original number
Answer:
A. 1.2 yd
Step-by-step explanation:
We are informed that Mr.Reddrick has a 74 total yards of red and blue felt to distribute to students in his art class. Moreover, we also have the information that each of his 20 students gets 2.5 yards of blue felt for the project. This implies that the total blue felt distributed is;
20*2.5 = 50 yards
The remainder is the total red felt left for distribution;
74 - 50 = 24 yards
Since we have 20 students, each one of them receives;
24/20 = 1.2 yd
