Given:
The image of a lens crosses the x-axis at –2 and 3.
The point (–1, 2) is also on the parabola.
To find:
The equation that can be used to model the image of the lens.
Solution:
If the graph of polynomial intersect the x-axis at c, then (x-c) is a factor of the polynomial.
It is given that the image of a lens crosses the x-axis at –2 and 3. It means (x+2) and (x-3) are factors of the function.
So, the equation of the parabola is:
...(i)
Where, k is a constant.
It is given that the point (–1, 2) is also on the parabola. It means the equation of the parabola must be satisfy by the point (-1,2).
Putting 
in (i), we get
Divide both sides by -4.
Putting 
in (i), we get
Therefore, the required equation of the parabola is .
Note: All options are incorrect.
Scalene triangles have 3 sides of different lengths
Isosceles triangles have 2 sides of the same length
Equilateral triangles have 3 sides of the same length
This triangles has a tick mark on 2 sides, meaning that 2 sides are the same length, making this an isosceles triangle
32, 7
0, - 1
20, 4
You just plug in the numbers and solve
The point-slope form:
We have the slope m = 4 and the point (-1, -3). Substitute:
Answer:
Each dice has six combinations which are independent. Therefore the number of possible outcomes will be 6*6 = 36. The probability of rolling a pair of dice whose numbers add to 5 is 4/36 = 1/9.
Step-by-step explanation:
For the odds of these two numbers coming up at the same time, you multiply the odds of one times the odds of the other. 5/6 × 1/6 = 5/36. So the odds that you'll roll 2 dice total six are 5/36 each time you roll ( or approximately 1 chance in 7).
