The parent cosine function is transformed to create function d.
1 answer:
Using translation concepts, it is found that the parent cosine function undergoes these following transformations:
- Horizontal shift of 1 unit to the right.
- Vertical shift of 5 units up.
- The frequency was multiplied by 2.
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The parent cosine function is given by:
The translated function is given by:
The changes were as follows:
- 1 was subtracted at the domain, hence it had a horizontal shift of 1 unit to the right.
- 5 was added to the function, hence it had a vertical shift of 5 units up.
- The domain was multiplied by 2, hence the frequency was multiplied by 2.
More can be learned about translation concepts at brainly.com/question/4521517
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Answer:
BC = 16 +12√3
Step-by-step explanation:
In the attached, we see that ∆ABE is a 30°-60°-90° triangle with AB the short side and BE the hypotenuse. Then BE = 2·AB = 12√3.
EC is the side opposite AD in parallelogram ADCE, so is the same length, 16.
The length BC is ...
BC = EC +BE
BC = 16 +12√3
Answer:
1764 ways
Step-by-step explanation:
Given:
Men = 9
Women = 7
Required Men: 3
Required Women: 2
'
Required
Total Possible Outcome
The total possible outcome can be determine as follows;
Total = (Selection of Men) and (Selection of Women)
Calculating Selection of Men;
Let n represent total number of men; This implies that n = 9;
Let r represent number of men to select; This implies that r = 3;
The selection can be done in the following ways;
Where
Calculating Selection of Women;
Let n represent total number of men; This implies that n = 7;
Let r represent number of men to select; This implies that r = 2;
The selection can be done in the following ways;
Where
Recall that
Total = (Selection of Men) and (Selection of Women)
Hence,