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.
The answer should be A.
When we see the equation y=a^x we can relate to all the exponential functions, however, when the problem asked what points does all equations in that form pass through. I was instantly reminded by two facts.
One is that any number to the first is equal to itself. In other words, a^1=a
Another is that any number to the zero is equal to 1. a^x=1
if that is true, 1 will always be the x value since y=a^x and 0 will always be the x value because that is how y can be equal to one.
therefore, the answer is A: (0,1)
Answer:
A) 8
Step-by-step explanation:
Add angles AOB and BOC to get angle AOC.
Since we know the value of AOC is 124 and AOB+BOC=AO
Then (8x+25)+(6x-13)=124.
Combine like terms to get 14x+12= 124.
Solve for x by subtracting 12 from 124, then divide the answer by 14.
Answer:
<h3>Q 17</h3>
a is supplementary with 36 and b is supplementary with 113.
- a = 180 - 36 = 144
- b = 180 - 113 = 67
Correct choice is D
<h3>Q 2</h3>
- LM = 1/2(AB + DC) = 1/2(46 + 125) = 85.5
<h3>Q 3</h3>
Diagonals of a rectangle are congruent
- KM = LN
- 6x + 16 = 49
- 6x = 33
- x = 33/6
- x = 5.5
Correct choice is A
