Messi kicks a soccer ball from a position that is 3 meters from a sideline and 4 meters from a goal
line. The ball lands at a position that is somewhere between him and Suarez, who is 6 meters from
the same sideline and 10 meters from the goal line.
(6, 10)
(3,4)
After watching the replay, the ratio between the distance of Messi and the ball is 3/2 meters to the
distance between Suarez and the ball. Which of the following are the coordinates of the ball?

Step-by-step explanation:

We want to find the point, B(x,y) that divides the directed line segment from Messi, M(3,4) to S(6,10) in the ratio m:n=3:2

We use the section formula:

We substitute the coordinates and the ratio into the section formula to get:

We simplify to get:

This gives us:

josh is incorrect

x= 7 and x= -1

step 2 is wrong and honestly first step is not needed, you just need to figure out the factors

i know its wrong because if you plug in the solutions josh found, they do not work (in the original equation)

x^2 -6x -7 = 0

(x-7) (x+1) = 0

x-7=0 x+1=0

x= 7 x= -1

should be c. 3: 10