Asegment with endpoints a (3, 2) and b (6, 11) is partitioned by a point c such that ac and bc form a 2: 3 ratio. find the x value for c.

3.8

3.9

4.2

4.3

First we subtract x values of points A and B
|3-6| = 3

now because the ration is 2:3 we need to divide that distance with 5 (sum of ratio numbers)
3/5

The result we multiply by 2 and add to x value of point A because that is the order of our ration (AC/BC)

2*3/5+3 = 4.2

Answer is 4.2

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has verticesrecall that for counterclockwise rotation about the origin, when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will becomenext, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,therefore the correct answer is c