If a point has an abscissa of 5, it means that its x-coordinate is 5. The point could lie anywhere along the vertical line where x equals 5, which extends infinitely in the positive and negative directions on the y-axis. Therefore, the point could be represented as (5, y), where y can be any real number.
IV
5
All numbers that have a 4 before a decimal point and some non-zero digits after the decimal point lie between 4 and 5. If the "between" is inclusive, then the numbers 4 and 5 (which can be followed by a decimal point and any number of zeros) also lie there.
An infinite number of points lie on that line. One such would be (40, 65).
The product of the abscissa (x-coordinate) and the ordinate (y-coordinate) being ten means that for any point ((x, y)) on the Cartesian plane, the equation (x \cdot y = 10) holds true. This relationship describes a hyperbola in the xy-plane, where the coordinates can take on various pairs of values (e.g., ((1, 10)), ((2, 5)), ((5, 2)), ((10, 1)), etc.). Each pair represents a point where the product of the x and y values equals ten.
IV
the abscissa of the point -2 -5 is
It would lie on the y axis
5
5
9
It is 4.
y = -x + 5 Substitute ( -4,1) 1 = --4 + 5 1 = 4 + 5 = 9 Simce it doesn't equate, then the point does NOT lie on the line.
All numbers that have a 4 before a decimal point and some non-zero digits after the decimal point lie between 4 and 5. If the "between" is inclusive, then the numbers 4 and 5 (which can be followed by a decimal point and any number of zeros) also lie there.
An infinite number of points lie on that line. One such would be (40, 65).
The product of the abscissa (x-coordinate) and the ordinate (y-coordinate) being ten means that for any point ((x, y)) on the Cartesian plane, the equation (x \cdot y = 10) holds true. This relationship describes a hyperbola in the xy-plane, where the coordinates can take on various pairs of values (e.g., ((1, 10)), ((2, 5)), ((5, 2)), ((10, 1)), etc.). Each pair represents a point where the product of the x and y values equals ten.
Since no points were given, for any point (x,y), plug the x and y values of the point into the equation. If you get a contradiction, ie 5=3 or something similar, then the point does not lie on the graph.