1/12 each night
I cant draw a picture here but you can draw 4 circles and divide them each into 3 equal parts
Answer: x(t) = 5cm*cos(t*pi/2s)
Step-by-step explanation:
This is a sinusoidal equation, so we can write this as:
x(t) = A*cos(c*t + p) + B
where B is the axis around the movement, as the resting position is x = 0, we have B = 0
so x(t) = A*cos(c*t + p)
A is the amplitude of the oscilation, c is the frequency and p is a phase.
We know that when t = 0s, we have x(2s) = 5cm
if this is the maximum displacement, then knowing that the maximum of the cosine is cos(0) = 1
then we must have that p = 0
x(0s) = A*cos(0) = 5cm
then we have A = 5cm
Now, when t = 2s, we have:
x(2s) = 5cm*cos(2s*c) = -5cm
then 2s*c is the minimum of the cos(x) function, this is:
cos(pi) = -1
then 2s*c = pi
c = pi/2s.
then our function is:
x(t) = 5cm*cos(t*pi/2s)
Answer:
y = 
x - 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = - 
x - 3 is in this form
with slope m = -
the slope of a perpendicular line is the negative reciprocal of m, hence
=
(0 , - 1 ) is the y-intercept ⇒ c = - 1
y = x - 1 ← equation of perpendicular line
Answer:
x = 4
Step-by-step explanation:
Solve the inequality
2x - 3 > 11 - 5x ( add 5x to both sides )
7x - 3 > 11 ( add 3 to both sides )
7x > 14 ( divide both sides by 7 )
x > 2
The only value of x greater than 2 is 4, thus
x = 4 is in the solution set
Answer:
3(r + 5)(r - 5)
Step-by-step explanation:
Both 3 and 75 are divisible by 3, so we take out a 3.
3(r^2 - 25)
Next, we can factor r^2 - 25. It's a difference of squares.
3(r + 5)(r - 5)
Brainliest, please :)
