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In the context of Cartesian coordinates, the ordered pair (0, 0) represents a point at the intersection of the x-axis and the y-axis, also known as the origin. The first number in the ordered pair (0) represents the x-coordinate, which is the distance along the horizontal axis from the origin. The second number (0) represents the y-coordinate, which is the distance along the vertical axis from the origin. Therefore, the ordered pair (0, 0) indicates a position where both the x and y coordinates are zero, placing the point at the origin of the coordinate plane.
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What does it mean both algebraically and graphically when an ordered pair is a solution to a system of two linear equations?
If an ordered pair is a solution to a system of linear equations, then algebraically it returns the same values when substituted appropriately into the x and y variables in each equation. For a very basic example: (0,0) satisfies the linear system of equations given by y=x and y=-2x By substituting in x=0 into both equations, the following is obtained: y=(0) and y=-2(0)=0 x=0 returns y=0 for both equations, which satisfies the ordered pair (0,0). This means that if an ordered pair is a solution to a system of equations, the x of that ordered pair returns the same y for all equations in the system. Graphically, this means that all equations in the system intersect at that point. This makes sense because an x value returns the same y value at that ordered pair, meaning all equations would have the same value at the x-coordinate of the ordered pair. The ordered pair specifies an intersection point of the equations.
Is the ordered pair 0 -6 solution for y5x-7?
The ordered pair (0, -6) Ordered pairs look like (x, y). they are the coordinates of a point on your graph. Asking if (0,6) is a solution to your equation means, does this point lie on the graph? Or algebraically, if you substitute in x = 0 and y = -6 into the equation, does it work? y = 5x-7 -6 = 5(0) -7 -6 = 0 - 7 -6 = -7 Well, -6 does NOT = -7, so we know that this ordered pair is not a solution to the function.
What is the symbol for ordered pair?
The symbol for an ordered pair is (x,y).
How do you find the inverse of an ordered pair?
The inverse of an ordered pair (a,b) is the pair (b,a). So you simply switch the order.
An ordered pair that has an x value of zero would be graphed on what axis?
x = 0 is the y-axis
Why do we use the terms ordered and ordered pair?
The pair (2, 3) is the same as the pair (3, 2) but the ORDERED pair (2, 3) is NOT the same as the ORDERED pair (3, 2). In an ordered pair the order of the numbers does matter.
What is the point of origin in an ordered pair?
The origin, in the Cartesian coordinate system, is the point with coordinates (0, 0). So, if you have another ordered pair, the ordered pair doesn't "have an origin"; rather, the origin is another point.
Complete the ordered pair for the equation y equals -9x plus 6 if the ordered pair is 0commablank?
(0, 6)
What quadrant is the ordered pair 8 0?
I assume you mean (8, 0). If one or both of the coordinates are zero, the point is not in any of the four quadrants. Instead, it is on the axes - between two quadrants.
What does it mean both algebraically and graphically when an ordered pair is a solution to a system of two linear equations?
If an ordered pair is a solution to a system of linear equations, then algebraically it returns the same values when substituted appropriately into the x and y variables in each equation. For a very basic example: (0,0) satisfies the linear system of equations given by y=x and y=-2x By substituting in x=0 into both equations, the following is obtained: y=(0) and y=-2(0)=0 x=0 returns y=0 for both equations, which satisfies the ordered pair (0,0). This means that if an ordered pair is a solution to a system of equations, the x of that ordered pair returns the same y for all equations in the system. Graphically, this means that all equations in the system intersect at that point. This makes sense because an x value returns the same y value at that ordered pair, meaning all equations would have the same value at the x-coordinate of the ordered pair. The ordered pair specifies an intersection point of the equations.
Which ordered pair is located in Quadrant II?
Any with x < 0 and y > 0
An ordered pair that has a y value of a 0 will be located on?
The x-axis
An ordered pair that has a y value of 0 will be located on the?
y-axis
What does the ordered pair 20 10 mean?
Ordered pair 20 10 means x is 20 and y is 10, written as (20,10).
In the xy-plane the y-axis contains all ordered pairs such that?
the x-coordinate is 0, apex :)
What is the ordered pair to 2x-5y equals -1?
The equation 2x-5y=-1 has a graph that is a line. Every point on that line is an ordered pair that is a solution to the equation. So pick any real number x and plug it in. You will find a y and that pair (x,y) is an ordered pair that is a solution to this equation. For example, let x=0 Then we have -5y=-1so y=1/5 The ordered pair (0, 1/5) is a point on the line and a solution to the equation.
What is the order pair for x - 2y equals 0 and 4x - 3y equals 15?
The ordered pair is (6, 3).
