What happens to the sign or signs of the coordinates when you reflect a point?
1 answer:
Part a: Reflecting a point across the x-axis, changes the sign of the y-coordinate.
Part b: Reflecting a point across the y-axis, changes the sign of the x-coordinate.
Part c: Reflecting a point across both the axes, changes the signs of both the coordinates.
Explanation:
Part a: Reflecting a point across the x-axis
The reflection is a transformation of a figure which represents a flip.
The rule for a reflection over the x -axis is given by
Hence, this represents the change of sign of the y-coordinate.
Thus, Reflecting a point across the x-axis, changes the sign of the y-coordinate.
Part b: Reflecting a point across the y-axis
The rule for a reflection over the y -axis is given by
Hence, this represents the change of sign of the x-coordinate.
Thus, Reflecting a point across the y-axis, changes the sign of the x-coordinate.
Part c: Reflecting a point across both the axes
The rule for a reflection across both the axes is given by
Hence, this represents the changes the signs of both the coordinates.
Thus, Reflecting a point across both the axes, changes the signs of both the coordinates.
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Answer:
The inequality that represents the age of the group, "x", is:
Step-by-step explanation:
To express this problem in an inequality we will attribute the age of the members on the group with the variable "x". There are two available information about "x", the first states that every member of the group is older than 17 years, therefore we can create a inequality based on that:
While the second data from the problem states that none of than is older than 54 years old, this implies that they can be at most that old, therefore the inequality that represents this is:
In order for both to be valid at the same time x must be greater than 17 and less or equal to 54, therefore we finally have: