Linear equations or inequalities describe points x y that lie on a circle.
First degree equations ad inequalities in one variable are known as linear equations or linear inequalities. The one variable part means they have only one dimension. For example x=3 is the point 3 on the number line. If we write x>3 then it is all points on the number line greater than but not equal to 3.
It is not necessary - it is a convention to distinguish between the end points of a range being included or not in the solution.
yes
the answer is true
This is the center of the circle. From the center of the circle, all the points on the circle are equally distant.
First degree equations ad inequalities in one variable are known as linear equations or linear inequalities. The one variable part means they have only one dimension. For example x=3 is the point 3 on the number line. If we write x>3 then it is all points on the number line greater than but not equal to 3.
x2 + y2 = r2
This starts with the collocation circle to go through the three points on the curve. First write the equation of a circle. Then write three equations that force the collocation circle to go through the three points on the curve. Last, solve the equations for a, b, and r.
It is not necessary - it is a convention to distinguish between the end points of a range being included or not in the solution.
Kathie L. Hiebert has written: 'Implicitly defined output points for solutions of ODEs' -- subject(s): Differential equations 'SLINEQ' -- subject(s): Algebras, Linear, Differential equations, Inequalities (Mathematics), Linear Algebras
Step I: Show that both points are outside the smaller circles. Possibly by showing that distance from each point to the centre of the circle is greater than its radius. Step 2: Show that the line between the two points touches the circle at exactly one point. This would be by simultaneous solution of the equations of the line and the circle.
The region of a graph refers to the area enclosed or defined by the boundaries of the graph, which can be determined by the plotted points, lines, or curves. In mathematical terms, it often represents the set of all points that satisfy a particular inequality or condition. For example, in a coordinate plane, the region may include all points that lie above a certain line or within a specific shape, such as a circle or polygon. Understanding the region helps in visualizing solutions to equations or inequalities in various mathematical contexts.
To determine which points are solutions to a system of inequalities, you need to assess whether each point satisfies all the inequalities in the system. This involves substituting the coordinates of each point into the inequalities and checking if the results hold true. A point is considered a solution if it makes all the inequalities true simultaneously. Graphically, solutions can be found in the region where the shaded areas of the inequalities overlap.
To draw a flowchart for finding the equation of a circle passing through three given points, start by defining the three points as ( A(x_1, y_1) ), ( B(x_2, y_2) ), and ( C(x_3, y_3) ). Next, set up the general equation of a circle ( (x - h)^2 + (y - k)^2 = r^2 ) and derive a system of equations by substituting the coordinates of the points into this equation. Solve the resulting system of equations for the center coordinates ( (h, k) ) and the radius ( r ), and finally, express the equation of the circle in standard form.
yes
A circle does not have any points. The circle is completely rounded off.
the answer is true