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What is the concept of graphing system of equations?
You take each equation individually and then, on a graph, show all the points whose coordinates satisfy the equation. The solution to the system of equations (if one exists) consists of the intersection of all the sets of points for each single equation.
Which is the standard equation for a circle centered at origin with raduis r?
The standard equation for a circle centered at the origin (0, 0) with radius ( r ) is given by ( x^2 + y^2 = r^2 ). In this equation, ( x ) and ( y ) represent the coordinates of any point on the circle, and ( r ) is the radius. This equation describes all points that are a distance ( r ) from the center.
The solution of an equation with two variables x and y is?
It can comprise all the points of a curve (including a line) in 2-dimensional space. There are only a few, exceptional, cases when one equation in two variables will give a single point as a solution.
What is the solution set of an equation?
All posible answers to the equation.
What is a 5 radius circle on a coordinate grid?
A circle with a radius of 5 on a coordinate grid is defined as the set of all points that are exactly 5 units away from a central point, known as the center of the circle. If the center is at the origin (0, 0), the equation of the circle can be expressed as ( x^2 + y^2 = 25 ). This represents a circular shape that spans 10 units in diameter, extending from -5 to 5 along both the x and y axes. The circle will encompass all points (x, y) that satisfy this equation.
What is the solution set of an equation of a circle?
The solution set is all points on the circle.
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.
The set of all solution points of an equation?
A solution point, in R2, is an ordered pair that satisfies the function.e.g. given the function, f(x) = x2, a solution point is (0,0), or (2,4), etc.The set of all solution points of an equation is equivalent to the graph of an equation.
The solution set of an equation of a circle is all of the points that lie on the circle?
the answer is false - apex
What is a solution of a linear equation in two variables?
The solution of a linear equation in two variable comprises the coordinates of all points on the straight line represented by the equation.
What is the set of all points representing solutions is called blank of the equation?
solution
When we plot all the points that satisfy an equation or inequality what do we do?
We identify a set of points in the relevant space which are part of the solution set of the equation or inequality. The space may have any number of dimensions, the solution set may be contiguous or in discrete "blobs".
How do you solve x2 y2 13?
To solve the equation x^2 + y^2 = 13, you are looking for all possible pairs of real numbers (x, y) that satisfy this equation. This equation represents a circle centered at the origin with radius √13. The solutions to this equation are all the points on the circle with radius √13.
What is the concept of graphing system of equations?
You take each equation individually and then, on a graph, show all the points whose coordinates satisfy the equation. The solution to the system of equations (if one exists) consists of the intersection of all the sets of points for each single equation.
What is the set of an equation in two variables in the set of all points in a coordinate plane that represent all the solutions of the equation?
To graph the set of all the solutions to an equation in two variables, means to draw a curve on a plane, such that each solution to the equation is a point on the curve, and each point on the curve is a solution to the equation. The simplest curve is a straight line.
What is the point from which all points on a circle are the same distance?
This is the center of the circle. From the center of the circle, all the points on the circle are equally distant.
Which is the standard equation for a circle centered at origin with raduis r?
The standard equation for a circle centered at the origin (0, 0) with radius ( r ) is given by ( x^2 + y^2 = r^2 ). In this equation, ( x ) and ( y ) represent the coordinates of any point on the circle, and ( r ) is the radius. This equation describes all points that are a distance ( r ) from the center.
