Answer:
(f + g)(x) = 3x^2 + 3x/2 - 9
Step-by-step explanation:
In order to find a composite function through addition, you simply add the two equations together.
f(x) + g(x)
x/2 - 3 + 3x^2 + x - 6
3x^2 + 3x/2 - 9
Using translation concepts, it is found that the transformations to create function d are given as follows:
- Horizontal shift right 1 unit.
- Vertical shift up 5 units.
- Frequency multiplied by 2.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the parent cosine function is given by:
f(x) = cos(x).
The translated function is given by:
d(x) = cos(2x - 1) + 5.
Which means that:
- 1 was subtracted in the domain, hence the was a horizontal shift right 1 unit.
- 5 was added in the range, hence there was a vertical shift up 5 units.
- There was a multiplication by 2 in the domain, hence the frequency is multiplied by 2.
More can be learned about translation concepts at brainly.com/question/4521517
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Answer:
B) 10 cm
Step-by-step explanation:
Hello!
We can use the Pythagorean theorem to solve for the hypotenuse.
Formula: 
- a = leg
- b = leg
- c = hypotenuse
We can plug in the values for each leg to solve for the hypotenuse.
<h3>Solve for c</h3>
The answer is Option B: 10 cm
Formula
A=bh divides by 2
SUBSTITUTE
45=b9 divided by 2
MULTIPLY/DIVIDE
You can either divide by 2 or multiply by 1/2 (gets the same answer)
9 x 1/2 = 4.5
DIVIDE
45 divides by 4.5 = 10
CHECK
A= 10 x 9 divided by 2 or multiply by 1/2 (same answer) = 45
Thus, the answer is 10.
I hope this helped you understand the process!
