Find the coordinates of P so that P partitions the segment AB in the ratio 3:1 if A(0,7) and B(−4,2) A. (-3, -10.75) B. (-3, 3.25) C. (-5, -4) D. (-3, -3.75)

 B.  (-3, 3.25)

Step-by-step explanation:  Imagine that the line is divided into 4 segments.  (3:1) Since A is at the upper right end of the line, go 3 segments down and left from A. That puts the x value at -3.

If you graph the line, it is evident that the y-value is at 3.25.

(It may be possible to use the Pythagorean Theorem to compute the lengths of line segments-- but this is a multiple-choice question!)

idk

step-by-step explanation:

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: