We read your photo as:
The graph below represents a section of the curve y = x(x−2)
ScanSolve AI Answer
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| Point | x | y |
|---|---|---|
| x-intercept | 0 | 0 |
| Minimum | 1 | −1 |
| x-intercept | 2 | 0 |
Step-by-step solution
8 stepsHere are the solutions to the problems you've provided:
1.i) Equation of the line CD
Identify the coordinates of points C and D.
From the given information, C is $(6, 0)$ and D is $(8, 0)$.
Calculate the slope of the line CD.
The slope is given by the formula .
Write the equation of the line.
Since the slope is 0, the line is horizontal. The equation of a horizontal line is , where is the y-coordinate of any point on the line. Both C and D have a y-coordinate of 0.
The equation of the line CD is .1.ii) Distance AB
Identify the coordinates of points A and B.
From the given information, A is $(0, 7)$ and B is $(0, 2)$.
Calculate the distance between A and B.
The distance between two points and is given by the formula .
The distance AB is .
2. Calculate the value of k
Identify the given points and gradient.
The points are and . The gradient is 2.
Use the gradient formula to set up an equation for .
The gradient formula is .
Solve the equation for .
Multiply both sides by :
Add to both sides:
Add 12 to both sides:
Divide by 3:
The value of is .
3.
The image provides a sketch of the curve but does not state a specific question to be solved for this part. Therefore, I cannot provide a solution for question 3.
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