#4) From the reference angle of 58° we can see that we have the side opposite to that angle as well as the hypotenuse. Recall that sin=opp/hyp so we are going to use sine to find that side
sin(58°) =
![\frac{x}{19}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B19%7D%20)
(multiply both sides by 19 to isolate x)
19 sin(58°) = x (plug into calculator)
16.1 = x
#5) From the reference angle of 56°, we see that we have the adjacent and the opposite sides. Remember that tan=opp/adj so we will use tangent to find x
tan(56°) =
![\frac{12}{x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B12%7D%7Bx%7D%20)
(multiply both sides by
![\frac{1}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B12%7D%20)
)
![\frac{tan(56)}{12} = \frac{1}{x}](https://tex.z-dn.net/?f=%20%5Cfrac%7Btan%2856%29%7D%7B12%7D%20%3D%20%20%5Cfrac%7B1%7D%7Bx%7D%20)
(flip them so x is on the top)
[tex] \frac{12}{tan(56)} = x
8.1 = x
Answer:
A(2, 6) and C(2, -6)
Step-by-step explanation:
The distance between any two points is given by :
Given vertices : A(2, 6), B(6, 0), C(2, -6) and D(-4, 0)
Since, points A and C has the largest distance between them.
Therefore, the points A and C are the farthest points.
For this case we have the following functions:
![f (x) = 7x + 1\\g (x) = x ^ 2](https://tex.z-dn.net/?f=f%20%28x%29%20%3D%207x%20%2B%201%5C%5Cg%20%28x%29%20%3D%20x%20%5E%202)
We must find![(g_ {0} f) (x).](https://tex.z-dn.net/?f=%28g_%20%7B0%7D%20f%29%20%28x%29.)
By definition of composition of functions we have to:
![(g_ {0} f) (x) = g (f (x))](https://tex.z-dn.net/?f=%28g_%20%7B0%7D%20f%29%20%28x%29%20%3D%20g%20%28f%20%28x%29%29)
So:
![(g_ {0} f) (x) = g (f (x)) = (7x + 1) ^ 2 = 49x ^ 2 + 2 (7x) (1) + 1 = 49x ^ 2 + 14x + 1](https://tex.z-dn.net/?f=%28g_%20%7B0%7D%20f%29%20%28x%29%20%3D%20g%20%28f%20%28x%29%29%20%3D%20%287x%20%2B%201%29%20%5E%202%20%3D%2049x%20%5E%202%20%2B%202%20%287x%29%20%281%29%20%2B%201%20%3D%2049x%20%5E%202%20%2B%2014x%20%2B%201)
ANswer:
![(7x + 1) ^ 2 = 49x ^ 2 + 14x + 1](https://tex.z-dn.net/?f=%287x%20%2B%201%29%20%5E%202%20%3D%2049x%20%5E%202%20%2B%2014x%20%2B%201)
Answer:
very easy go to india the children's can tell u the answer indians are brilliant
Step-by-step explanation:
got it follo w me plsss
The quadratic formula <span>is used in algebra to solve </span>quadratic equations<span> (polynomial </span>equations<span> of the second degree). ok its answer make sure im brainly make me brainly
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