What is the value of the 4 in 9.84?
1 answer:
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Answer:
The correct answer is
Step-by-step explanation:
We are given:
The domain of the function is [0, infinity).
In the graph:
The domain(values of x), is still [0, infinity). Thus, there was no change in the domain, which rules out the first and the third option.
Change:
The change in the graph is that the function starts 4 units down(sqrt(0) = 0, in the graph when x = 0, y = -4). That is, 4 is subtracted from the function, and thus the correct answer is
Answer:
- 14π/9; 108°; -√2/2; √2/2
Step-by-step explanation:
To convert from degrees to radians, use the unit multiplier
In equation form that will look like this:
- 280° ×
Cross canceling out the degrees gives you only radians left, and simplifying the fraction to its simplest form we have
The second question uses the same unit multiplier, but this time the degrees are in the numerator since we want to cancel out the radians. That equation looks like this:
×
Simplifying all of that and canceling out the radians gives you 108°.
The third one requires the reference angle of .
If you use the same method as above, we find that that angle in degrees is 135°. That angle is in QII and has a reference angle of 45 degrees. The Pythagorean triple for a 45-45-90 is (1, 1, √2). But the first "1" there is negative because x is negative in QII. So the cosine of this angle, side adjacent over hypotenuse, is
which rationalizes to
The sin of that angle is the side opposite the reference angle, 1, over the hypotenuse of the square root of 2 is, rationalized,
And you're done!!!