Given

,

is in Quadrant IV,

, and

is in Quadrant III, find

We can use the angle subtraction formula of sine to answer this question.

We already know that

.
We can use the Pythagorean identity

to find

.

Since

is in Quadrant IV, and sine is represented as y value on the unit circle, we must assume the negative value

.
As similar process is then done with

.

And since

is in Quadrant III, and cosine in represented as x value on the unit cercle, we must assume the negative value

.
Now we can fill in our angle subtraction formula!
The formula for the area of a circle (in this case, the disc) is

So, we apply the given radius to the formula to give us our answer:

So, your approximate answer is C.
Answer:B
Step-by-step explanation: When solving expressions with parentheses it’s important to always solve what’s in parentheses first. And when there’s parentheses in parentheses, solve the parentheses that are in the parenthesis. Whew...I hope this helps :)
The option first is correct because y= 2√x and y= √2x have same domain which is x ≥ 0.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
y= 2√x
From the above function the domain should be:
x ≥ 0 (because square root of negative values does not exist)
The function:
y = √(2x)
2x ≥ 0
x ≥ 0
Thus, the option first is correct because y= 2√x and y= √2x have same domain which is x ≥ 0.
Learn more about the function here:
brainly.com/question/5245372
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Answer:
D)
Step-by-step explanation:
we know that,
Parallel lines have the same slope
given equation is in the form given by

where m is know
as
, the answer is -⅔