49 POINTS! PLEASE HELP ME! Explain your answer, thank you so much!
2 answers:
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To solve this, we just need to find the distance between the points A and B in the number line, and then, divide that distance by 2.
Remember that the distance formula between tow point in the number line is:
From our point we can infer that
and 
, so lets replace the values:
Now, to find the coordinate of the midpoint, we just need to divide that distance by 2:
We can conclude that the coordinate of the point M, the midpoint of AB, is 4
Remember that the distance formula between tow point in the number line is:
From our point we can infer that
Now, to find the coordinate of the midpoint, we just need to divide that distance by 2:
We can conclude that the coordinate of the point M, the midpoint of AB, is 4
Given:
Point (7,12) is rotated 1260° counterclockwise about the origin.
To find:
The x-coordinate of the point after this rotation.
Solution:
If a point is rotated 360 degrees then its coordinates remains unchanged.
If a point is rotated 180 counterclockwise about the origin degrees, then
We know that,
After rotation the coordinates of points remains same, i.e., (7,12). So, after that (7,12) is rotated 180° counterclockwise about the origin.
The point (7,12) becomes (-7,-12) after rotation of 1260° counterclockwise about the origin.
Therefore, the x-coordinate of the required point is -7.