Find the coordinates of point p along the directed line segment AB, from A (-2,-4) to B (6,1), so that the ratio of AP to PB is 3 to 2

Step-by-step explanation:

x distance from A to B

6 - (-2) = 8

3/5(8) = 24/5 = 4.8             or        2/5(8) = 16/5 = 3.2

-2 + 4.8 = 2.8                                 6 - 3.2 = 2.8

y distance from A to B

1 - (-4) = 5

3/5(5) = 3                           or        2/5(5) = 2

-4 + 3 = -1                                       1 - 2 = -1

P = (2.8, -1)

30 people weigh 160 pounds or more

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.