Answer:
Step-by-step explanation:
The parent function of this graph is: y = sin(x)
The sine function is periodic, meaning it repeats forever.
Standard form of a sine function:
- A = amplitude (height from the mid-line to the peak)
- 2π/B = period (horizontal distance between consecutive peaks)
- C = phase shift (horizontal shift - positive is to the left)
- D = vertical shift
The parent function y = sin(x) has the following:
- Amplitude (A) = 1
- Period = 2π
- Phase shift (C) = 0
- Vertical shift (D) = 0
- Mid-line: y = 0
From inspection of the given graph:
- Amplitude (A) = 1
- Phase shift (C) = 0
- Vertical shift (D) = +3 (as mid-line is y = 3)
Substituting the values into the standard form:
Therefore, the equation of the given trigonometric graph is:
Answer: x≤0 is the answer or (−∞,0
]
Step-by-step explanation:
9n + 6 = 456
9n = 456 - 6
9n = 450
n = 450/9
n = 50
I believe this is the answer, though i'm not sure.
Q1. Look at the picture.
Q2. Look at the picture.
Q3.
Put the value of x = 2 to the equation 3x + y = 5:
<em>subtract 6 from both sides</em>
Q4.
Substitute (*) to (**):
<em>use distributive property</em>
<em>add 33 to both sides</em>
<em>divide both sides by 11</em>
Put the value of m to (*):
Q5.
w - width
3w - length
24 in - the sum of length and width
The equation:
<em>divide both sides by 4</em>
The equation of line is:
Further explanation:
The standard form of equation in point-slope form is:
Given equation is:
3x+2y=10
We have to convert it into point slope form, for which we have to isolate y on one side of equation
Comparing with standard form:
m = -3/2
As the new line is parallel to given line, their slopes will be equal
So,
To find the value of b, putting the given point (4,-5) in equation
Keywords: Point-slope form, equation of line
Learn more about point-slope form of equation at:
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