Yes, the solution set of an equation of a circle consists of all the points that satisfy the equation, which typically takes the form ((x - h)^2 + (y - k)^2 = r^2). Here, ((h, k)) represents the center of the circle, and (r) is its radius. Any point ((x, y)) that lies on the circle will fulfill this equation, thus forming the complete solution set.
Substitute the coordinates of the point into the equation and if the result is a true statement then the point is a solution, and if not it isn't.
The equation describes a circle with its centre at the origin and radius = √13. Each and every point on that circle is a solution.
To determine if a point is a solution on a graph, check if the point's coordinates (x, y) satisfy the equation of the graph. If the point lies on the curve or line representing the equation, it is a solution. For instance, if the equation is y = f(x), substitute the x-coordinate into the equation to see if it equals the y-coordinate. If it does, the point is a solution.
9
True
You substitute the coordinates of the point in the equation. If the result is true then the point is a solution and if it is false it is not a solution.
Yes, the solution set of an equation of a circle consists of all the points that satisfy the equation, which typically takes the form ((x - h)^2 + (y - k)^2 = r^2). Here, ((h, k)) represents the center of the circle, and (r) is its radius. Any point ((x, y)) that lies on the circle will fulfill this equation, thus forming the complete solution set.
Substitute the coordinates of the point into the equation and if the result is a true statement then the point is a solution, and if not it isn't.
false
false
A line is represented by an equation. Each solution of the equation is a point on the line, and each point on the line is a solution to the equation. So the line is just the graph of the solution set of the equation.
The equation describes a circle with its centre at the origin and radius = √13. Each and every point on that circle is a solution.
If this question is asking: is the point (6,9) a solution of the equation y = 12x + 6, then NO, it's not a solution.
To determine if a point is a solution on a graph, check if the point's coordinates (x, y) satisfy the equation of the graph. If the point lies on the curve or line representing the equation, it is a solution. For instance, if the equation is y = f(x), substitute the x-coordinate into the equation to see if it equals the y-coordinate. If it does, the point is a solution.
False
False