Answer:
a) f(x) = 3sin(2x - π/2) + 1
b) f(x) = 2sin(2x + π) + 2
Step-by-step explanation:
∵ f(x) = Asin(Bx - C) + D
Where ΙAΙ is the the amplitude , 2π/ΙBΙ is the period , -C/B is the horizontal shift and D is the vertical shift
a) The amplitude is 3
The period is π
Shift phase: horizontally π/4 to the right , vertically 1 unit up
b) The amplitude is 2
The period is π
Shift phase: horizontally π/2 to the left , vertically 2 unit up
Answer:
24
Step-by-step explanation:
Equilateral has 3 angles that add up to 180, and all angles are equal
3(2x+12) = 180
6x+36 = 180
180-36 = 6x
144 = 6x
24 = x
Answer:the (c+4)
Step-by-step explanation:
That becomes before anything
Answer:
61
Step-by-step explanation:
Let's find the points
and
.
We know that the
-coordinates of both are
.
So let's first solve:

Subtract 3 on both sides:

Simplify:

I'm going to use the quadratic formula,
, to solve.
We must first compare to the quadratic equation,
.






Since the distance between the points
and
is horizontal. We know this because they share the same
.This means we just need to find the positive difference between the
-values we found for the points of
and
.
So that is, the distance between
and
is:




If we compare this to
, we should see that:
.
So
.
Answer:
2
Step-by-step explanation:
2 squared is 4. 3 x 2 = 6. 6+4=10