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Estimate the Slope of a Line?
The slope of a line is a measure of how steep it is. It is defined as
y2- y1/x2-x1
Where (x1, y1) and (x2, y2) are any two points on the line. (It doesn't matter which two points you choose. Can you figure out why?) Horizontal lines have zero slope, because the numerator of the fraction is zero. The steeper the line, the larger the slope. Lines which slant "upward" (progressing upward from left to right) have positive slope, and lines which slant "downward" (progressing downward from left to right) have negative slope.
The slope of a vertical line is undefined, because the denominator of the fraction would be zero (which is not allowed). We often speak of a vertical line as having an "infinite" slope. This is a useful way of thinking about the vertical line, but it is not technically correct. Infinity is not a number, and so it can't be part of an equation like "slope = infinity."
distance between pair of straight lines
Describe Common Phrases to Represent Math Operations? The table below shows the common phrases used in word problems to represent addition, subtraction, multiplication, and div
Calculate 50%
While we first looked at mechanical vibrations we looked at a particular mass hanging on a spring with the possibility of both a damper or/and external force acting upon the mass.
Let D = 1 denotes the event that an adult male has a particular disease. In the population, it is known that the probability of having this disease is 20 percent, i.e., Pr (D = 1)
how it solved
Juan is g years old and Eva is 2 years younger than Juan. a.Find the sum of their ages in terms of g. b.Find the sum of their ages in g years'' time,in terms of g.
Higher-Order Derivatives It can be seen that the derivative of a function is also a function. Considering f'x as a function of x, we can take the derivative
(a) The generating function G(z) for a sequence g n is given by G(z) = 1 - 2z/(1 + 3z)3 Give an explicit formula for g n . (b) For the sequence gn in the previous part co
Sketch several trajectories for the system, x 1 ' = x 1 + 2x 2 x 2 ' = 3x 1 + 2x 2
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