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IT 40 POINTS SO PLZ HELP ITS 5 QUESTIONS PL ANSWER THEM ALL

How can a number line help in ordering rational numbers:




How are number lines and the coordinate plane related:



Does the order of the numbers in an ordered pair matter when naming a point? Can that point be represented by more than one ordered pair?



A point is reflected across the x-axis. The new point is located at (4.75, -2.25). Write the ordered pair that represents the original point. Explain.



A point is reflected across the x-axis. The new point is (5, -3.5). What is the distance between the two points? Explain.

Sagot :

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Answer:

1: It places them in an order sequentially relative to each other.

2: Number lines show the location of a number relative to each other on a one dimensional plane, and a coordinate plane does the same on two axis, or a two dimensional plane.

3: The order of the numbers do matter because the first one is the x coordinate and the second is the y. We nee a point of reference so we aren't able to make it so a single point can be represented by multiple ordered pairs, and vice versa so we can accurately share the information without additional interpretation.

4: (4.75, 2.25) Because to move across the x axis is to move in a direction perpendicular to it, meaning only the y coordinate will change. To be mirrored, it has to be copied and the absolute value of y (from both the x and y axis) must be maintained, just moved into the quadrant above or below it.

5: It is 7 units because the original coordinate would be 3.5 (as explained previously), and to move all the way to -3.5 you would need to cover the first 3.5 units to get to y=0, and then another 3.5 units down to get to y=-3.5. This is a total of 7 units moved.

Step-by-step explanation:

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