Rinjo
06.11.2019 •
Mathematics
Lines a and b are perpendicular. if the slop of line a is 3, what i the slope of line b?
a. -1/3
b. 1/3
c. -3
d. 3
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Ответ:
Ответ:
The equation of the parabola is . The average rate of change of the parabola is -4.
Step-by-step explanation:
We must remember that a parabola is represented by a quadratic function, which can be formed by knowing three different points. A quadratic function is standard form is represented by:
Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
, , - Coefficients, dimensionless.
If we know that , and are part of the parabola, the following linear system of equations is formed:
This system can be solved both by algebraic means (substitution, elimination, equalization, determinant) and by numerical methods. The solution of the linear system is:
, , .
The equation of the parabola is .
Now, we calculate the average rate of change (), dimensionless, between and by using the formula of secant line slope:
The average rate of change of the parabola is -4.