Given:
The point (9,-12) is on terminal side of angle theta in standard position.
To find:
The exact value of each of the six trigonometric functions of theta.
Solution:
The given point is (9,-12). Here, x-coordinate is positive and y-coordinate is negative. So, the point lies in 4th quadrant and only cos and sec are positive in 4th quadrant.
We know that,
Now,
Therefore, the values of six trigonometric functions of theta are 
.
Answer:If a die is rolled once, determine the probability of rolling a 4: Rolling a 4 is an event with 1 favorable outcome (a roll of 4) and the total number of possible outcomes is 6 (a roll of 1, 2, 3, 4, 5, or 6). Thus, the probability of rolling a 4 is 1/6.
If a die is rolled once, determine the probability of rolling at least a 4: Rolling at least 4 is an event with 3 favorable outcomes (a roll of 4, 5, or 6) and the total number of possible outcomes is again 6. Thus, the probability of rolling at least a 4 is 3/6 = 1/2
Step-by-step explanation:For example, when a die is rolled, the possible outcomes are 1, 2, 3, 4, 5, and 6. In mathematical language, an event is a set of outcomes, which describe what outcomes correspond to the "event" happening. For instance, "rolling an even number" is an event that corresponds to the set of outcomes {2, 4, 6}. The probability of an event, like rolling an even number, is the number of outcomes that constitute the event divided by the total number of possible outcomes. We call the outcomes in an event its "favorable outcomes".
what makes it irrational is the
which does not change from one zero to the other. so if one root its irrational the other one also is. Answer A
( f - g )(x) = 10x - 17 and ( f ° g)(-6) = 60. The answers are option D and B
<h3>
There are different type of Function</h3>
Different types of function demands different ways of solving them. Different types are simple function, function by substitution and function of function.
Given that
f(x) = 
+ 9x - 14 and g(x) = - x + 3
( f - g )(x) will be the difference between f(x) and g(x)
( f - g )(x) = + 9x - 14 - ( - x + 3)
( f - g )(x) = + 9x - 14 - + x - 3
( f - g )(x) = 10x - 17
Also, if f(x) = 
- 15 and g(x) = 1 - 2/3 x
( f ° g)(-6) means that we will evaluate g at -6, then evaluate f at the result of g(-6)
g(-6) = 1 - 2/3 (-6)
g(-6) = 1 + 4
g(-6) = 5
f(g(-6)) = 3(
) - 15
f(g(-6)) = 3 x 25 - 15
f(g(-6)) = 75 - 15
f(g(-6)) = 60
Therefore, ( f - g )(x) = 10x - 17 and ( f ° g)(-6) = 60
Learn more about Function here: brainly.com/question/25638609
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A. x = -2 and y = -5
check:
x^2 - 9 = 0
B. x = 0 and y = -6
check:
x^2 - 6 = 0
C. x1 = 3, x2 = 5
check:
(x - 3)(x - 5) = 0
D. x1 = 0, x2 = 4
check:
x(x - 4) = 0
