Given the points A(-3, -2) and B(12, 3), determine the coordinates of point P on directed line segment stack A B with bar on top that partitions stack A B with bar on top in a ratio of 3/2.

  P(6, 1)

Step-by-step explanation:

Point P is the weighted average of the end point coordinates. The weights are the reverse of the order of the segment lengths:

  P = (2A +3B)/(2+3)

  P = (2(-3, -2) +3(12, 3))/5 = (-6+36, -4+9)/5

  P = (6, 1)

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation:

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1