Answer:
Step-by-step explanation:
The given functions are
It is given that
Substitute the values of given functions in the above equation.
Combine like terms.
Therefore, the required function is .
Find sec Θ if the terminal side of Θ in standard position contains the point (4, -3)
2 answers:
If we plot that point we find ourselves in QIV. The distance along the x axis is 4, and the distance down from that point is -3. If we create a right triangle with that segment, that segment serves as the hypotenuse of the triangle. We need its measure. Using Pythagorean's theorem, 
and 
. We see that c = 5. We need now to find the secant of that right triangle. Secant if the co-identity of cosine which is side adjacent over hypotenuse. That means that secant is the hypotenuse over the side adjacent. So our secant theta = 5/4
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Option A:
The probability that Everett and Finley end up with an even number and a blue disk is .
Solution:
Given data:
Everett is rolling a block with numbers = {1, 2, 3, 4, 5, 6}
Finley is drawing one disk from basket with colors = {blue, red, yellow}
Total number of numbers = 6
Total number of colors = 3
Divide numerator and denominator by the common factor 3.
Option A is the correct answer.
Hence the probability that Everett and Finley end up with an even number and a blue disk is .