Given the points A (-1,2) and B (7, 14), find the coordinates of the point P on directed line segment AB that partitions AB in the ratio 1:3.

Now despite what you may believe, 1:3 is not 1/3 in this situation. In this case, it means "1 equal part to 3 equal parts", which is a total of 4 equal parts. In short, this question is to place point P 1/4 the distance from A to B.

Firstly, how far apart is -1 from 7 (the x-coordinates)? That would be 8 units. Multiply 1/4 by 8:

Next, how far apart is 2 from 8 (the y-coordinates)? That would be 6 units. Multiply 1/4 by 6:

Next, since from -1 to 7 you are increasing, add 2 to -1:

1 is your x-coordinate

Next, since from 2 to 8 you are increasing, add 3/2 to 2:

7/2 is your y-coordinate.

Putting it together, your answer is A. (1, 7/2)

Step-by-step explanation:

answer: given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

therefore, it will take you 12.94 minutes to get to the front of the line.

step-by-step explanation:

look at photo