Rotate the hexagon so the sides line up to make it easier
then set up a proportion
x/x+1 = 10/30
30x = 10x + 10
20x = 10
x = 1/2
No 9/13 is equivalent to 36/52
Answer:
B. 1x-3
Step-by-step explanation:
slope is m = 1
y-int = (0, -3)
Answer:
Period = pi
Angular frequency = 2
Amplitude = 5
Midline is the line y = 3
Step-by-step explanation:
A sinusoidal wave is written in the general form as:
f(x) = A*cos(w*x) + C
Where:
- A is the amplitude.
- w is the angular frequency, this is equal to 2*pi/T
where T is the period.
- y = C is the midline.
Then in the equation:
f(x) = 5*cos(2*x) + 3
- 5 is the amplitude.
- 2 is the angular frequency (in the image is called frequency, but this quantity must be in radians/time, while the normal frequency is only in Hz)
- We know that the angular frequency is equal to 2*pi/T, whit this eqation we can find the period:
2 = 2*pi/T
T = 2*pi/2 = pi
pi is the period.
- y = 3 is the midline.
this is gp because
because ratio of next term to previous term is always same.
8/16= 4/8 = 1/2
so common ratio is 1/2
first term is a = 16
so nth term of a gp is given as
Tn = ar^(n-1)
T10 = 16 × (1/2)^(10-1)
= 16 × (1/2)^9 = 1/32
