Answer:
y = -3x
Step-by-step explanation:
Slope-intercept form:
Slope formula:
Given points: (-2, 6), (2, -6)
(2, -6) = (x1, y1)
(-2, 6) = (x2, y2)
To write the equation in y = mx + b form, we need to know the slope(m) and the y-intercept(b). To find the slope, input the two given points into the slope formula:
Simplify:
6 - (-6) = 6 + 6 = 12
-2 - 2 = -4
The slope of the equation is -3. To find b, we can input the value of the slope and one point (in this example I'll use (2, -6) into the equation:
-6 = -3(2) + b
-6 = -6 + b
0 = b
The y-intercept is 0. Now that we know the slope and y-intercept, we can write the equation:
y = mx + b
y = -3x + 0
y = -3x
The equation written in slope-intercept form is y = -3x.
M^3/2 is the answer to the problem
Answer:
4.4
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:
where:
- 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 <u>period</u> is the horizontal distance between consecutive peaks, which is the same as <u>twice the horizontal distance between the intersection of the curve and the mid-line</u>.
Given consecutive points of intersection between the curve and the mid-line:
Therefore, the horizontal distance between these two points is:
5.9 - 3.7 = 2.2
⇒ Period = 2.2 × 2 = 4.4
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To create the equation for the function.
From inspection of the given graph:
- Amplitude (A) = 6
- Mid-line is y = 5
- Vertical shift (D) = +5
Period = 2π/B = 4.4 ⇒ B = 5π/11
Phase Shift (C) = -3.7
Substituting the values into the standard form:
Answer:
They both represent the same equation
Step-by-step explanation:
Given
The question is not properly presented.
However, I can pick the following from the question.
Paul's workings:
Where
and
So:
Seth's workings:
Required
Determine if both workings represent the same equation
Step 1: Analyze Paul's workings
Paul applied slope intercept to determine the equation of the line and his workings is correct.
Step 2: Analyze Seth's workings
Seth applied slope formula in determining the equation of the line and up till where Seth's stopped, Seth was correct.
The next step is to complete Seth's workings as follows:
Seth's workings:
Open bracket
Collect Like Terms
Reorder
Comparing the end results of Seth and Paul's workings.
We have that both results are the same.
i.e.
<em>Hence, they both represent the same equation</em>
Answer:
radius=3.19 km
Step-by-step explanation:
32/3.14159=r^2
r=3.19 km