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

K = AC/BC = 2/3
x C = ( x 1 + k x 2) / ( 1 + k )
x C = ( 3 + 2/3 * 6 ) / ( 1 + 2/3 )
x C = ( 3 + 4 ) : 5/3 = 7 * 3/5
x C = 4.2 ( the x value for C )

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