Engineers measure angles in gradients, which are smaller than degrees. The table shows the conversion of some angle measures in
degrees to angles in gradients. What is the slope of the line representing the conversion of degrees to gradients? Express your answer as a decimal rounded to the nearest hundredth.
2 answers:
The table showing the conversion of angle measure in degrees to angles in gradients is attached below.
In order to find the slope we divide the difference of two y-coordinates (or dependent variable which in this case is gradient measure) by the difference of two respective x-coordinates (or independent variable which in this case is degree measure).
For finding the slope we will use the first and the last point given in the table. So, the slope m will be given by:
So rounding of to nearest hundredth, the slope of line representing the conversion of degrees to gradients is 1.11
In order to find the slope we divide the difference of two y-coordinates (or dependent variable which in this case is gradient measure) by the difference of two respective x-coordinates (or independent variable which in this case is degree measure).
For finding the slope we will use the first and the last point given in the table. So, the slope m will be given by:
So rounding of to nearest hundredth, the slope of line representing the conversion of degrees to gradients is 1.11
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Answer:
The equation of the line tangent to the graph of f at x = -1 is .
Step-by-step explanation:
From Analytical Geometry we know that the tangent line is a first order polynomial, whose form is defined by:
(1)
Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
- Slope, dimensionless.
- Intercept, dimensionless.
The slope of the tangent line at is:
(2)
If we know that ,
and
, then the intercept of the equation of the line is:
The equation of the line tangent to the graph of f at x = -1 is .