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What is a quadratic equation when graphed?
The graph (on Cartesian coordinates) of a quadratic equation is a parabola.
How can you find the coordinates of two lines mathematically given the equation of both?
Subtract the equation of one line from the equation of the other
How do you find coordinates of a line from an equation without graphing?
By substitution
What are coordinates for -4x plus 9y equals 0?
-4x + 9y = 0 is the equation of a line in the Cartesian plane and the coordinates of any of the infinite number of points on that line will satisfy the equation.
How are the graph of an equation and the set of all solutions of an equation related?
The coordinates of every point on the graph, and no other points, are solutions of the equation.
True or False: One advantage of polar equations is that you can use a polar function to describe a graph whose equation in rectangular coordinates would not be considered a function?
True
What is a quadratic equation when graphed?
The graph (on Cartesian coordinates) of a quadratic equation is a parabola.
An equation whose variables are polar coordinates is called a(n) equation?
polar
How do you find the equation of a line with two coordinates?
Assume the equation is y = kx + c Put in the x and y values of your known coordinates and sove the simultaneous equations.
How can you find the coordinates of two lines mathematically given the equation of both?
Subtract the equation of one line from the equation of the other
How do you find coordinates of a line from an equation without graphing?
By substitution
What are coordinates for -4x plus 9y equals 0?
-4x + 9y = 0 is the equation of a line in the Cartesian plane and the coordinates of any of the infinite number of points on that line will satisfy the equation.
How are the graph of an equation and the set of all solutions of an equation related?
The coordinates of every point on the graph, and no other points, are solutions of the equation.
How do you get a solution set?
The solution set for a given equation is the set of all points such that their coordinates satisfy the equation.
How do you derive the Helmholtz equation from Maxwell's equations?
Considering Maxwell equations and contitutive relations. See pag.18 of principles of nano-optics, Lucas Novotny.
How do you convert r equals 2sinX into rectangular form?
You also need an equation for y in order to convert to rectangular form.
What are the coordinates of the x intercept for the equation y equals x plus 1?
The coordinates of the x intercept for the equation y equals x plus 1 is (x=-1, y=0).
