Let's analyse the function
The amplitude is A, so we want A=1.5
Now, we start at x=0, and we have 
After one second, i.e. x=1, we want this sine function to make 330 cycles, i.e. the argument must be 
So, we have
so, the function is
X= 28 you just flip the 1/2 to 2/1 and multiply it on both sides
This is the equation.
-61(54-X)=-28+X
Answer:
Step-by-step explanation:
In a triangle ABC, given A= (-2,6),
B = (1,0) and C = (5,2)
If u = AB, v = BC, w = AC
To show that the triangle is a right angled triangle, we must show that the dot product of one of the pairs is zero.
Since u = AB
u = AB = B-A
u = AB = (1,0) - (-2,6)
u = [(1-(-2), 0-6]
u = (3, -6)
Similarly, v = BC = C-B
v = BC = (5,2) - (1,0)
v = [(5-1), (2-0)]
v = (4, 2)
Also for w:
w = AC = C - A
w = (5, 2) - (2, -6)
w = [(5-2), (2-(-6)]
w = (3, 8)
To show that the triangle is a right angled triangle, the dot product of one of any of the pairs must be zero as shown:
u.v = (3, -6) • (4, 2)
u.v = (3)(4) + (-6)(2)
u.v = 12-12
u.v = 0
i.e AB.BC = 0
This shows that length AB and BC are perpendicular to each other i.e the angle between them is 90° and since a right angled triangle has one of its angle to be 90°, it shows that the ∆ABC is a right angled triangle.
