Answer:
f is equal to 3 which means g is also equal to 3
Step-by-step explanation:
3w + 8 - w = 4w - 2(w - 4)
is an identity
3w-w + 8 = 4w - 2w + 8
2w + 8 = 2w + 8
2w - 2w = 8 - 8
0 = 0
zero equal to zero implies that any value of w satisfies the statement 3w + 8 - w = 4w - 2(w - 4) hence it is an identity.
The semi-circles in the triangles represent the verteces or different angles on certain points of the triangle.
-Hope this helped! :D
Answer:
The answer to your question is y = -1/4x + 15/4
Step-by-step explanation:
Data
P (-1, 4)
⊥ y = 4x + 1
Process
1.- Find the slope of the line given
y = 4x + 1
slope = 4
2.- Find the slope of the new line
slope 2 = -1/4
3.- Find the equation of the line
y - y1 = m(x - x1)
Substitution
y - 4 = -1/4(x + 1)
Simplification
y - 4 = -1/4x - 1/4
y = -1/4x - 1/4 + 4
y = -1/4x - 1/4 + 16/4
Result
y = -1/4x + 15/4
F(x) can be written as:
f(x) = Asin(2x); where A is the amplitude and the period of the function is half that of a normal sin function.
f(π/4) = 4
4 = Asin(2(π/4))
4 = Asin(π/2)
A = 4
Amplitude of g(x) = 1/2 * amplitude of f(x)
A for g(x) = 2
g(x) = 2sin(x)