The terms are written in descending order of degree
Here the answer is D
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.
Answer:
Length of the boxes are 17 in, 35 in, 17 in.
Step-by-step explanation:
The given question is incomplete: please find the complete question in the attachment.
A). From Box - (1)
Area of the box = 289 in.²
Expression that denotes the area of the box = 36x² - 12x + 1
So, 36x²- 12x + 1 = 289
(6x)² - 2(6)x + (1)² = (17)²
(6x - 1)² = (17)² [ Since (a² - 2ab + b²) = (a - b)²]
Given box is a square having sides = (6x - 1) in.
∵ (6x - 1)² = 17
⇒ 6x = 18
⇒ x =
= 3
Now length of the sides = (6x - 1) = 17 in.
B) Box - (2)
Similarly, 25x²- 50x + 25 = 1225
(25x² - 50x + 25) = (35)²
(5x - 5)² = (35)²
5(x - 1) = 35 ⇒ x = 8
Here length of one side of the box is 5(x - 1) = 5(8 - 1) = 35in.
C). Box - (3)
49x² - 56x + 16 = 289
(7x)² - 2×(7x)(4) + 4²= (17)²
(7x - 4)² = (17)²
Length of each side = (7x - 4) in.
From, (7x - 4)² = (17)²
7x - 4 = 17
⇒ x = 
⇒ x = 3
Therefore, length of each side of the box = (7x - 4) = 17 in.
Answer:
The fourth
Step-by-step explanation:
It has 4 terms