Answer: the third option is the correct answer
Step-by-step explanation:
From the given right angle triangle,
The hypotenuse of the right angle triangle is 16√3
With m∠30 as the reference angle,
the adjacent side of the right angle triangle is x.
the opposite side of the right angle triangle is y.
To determine x, we would apply
the cosine trigonometric ratio.
Cos θ, = adjacent side/hypotenuse. Therefore,
Cos 30 = x/16√3
√3/2 = x/16√3
x = √3/2 × 16√3 = 3 × 8
x = 24
To determine y, we would apply
the Sine trigonometric ratio.
Sin θ, = opposite side/hypotenuse. Therefore,
Sin 30 = y/16√3
1/2 = y/16√3
y = 16√3 × 1/2
y = 8√3
Answer:
see below
Step-by-step explanation:
g(x) = (x+2)^2 -1
The function is in the form
g(x) = a(x-h)^2 +k
where (h,k) is the vertex of the parabola
Rewriting
g(x) = (x+2)^2 -1
= (x--2)^2 + -1
The vertex is (-2,-1)
We can find another point by letting x =0
g(0) = (0+2)^2 -1
=2^2 -1
=4-1 =3
The second point is (0,3)