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Jobisdone [24]
3 years ago
7

Messi kicks a soccer ball from a position that is 3 meters from a sideline and 4 meters from a goal

Mathematics
1 answer:
Katarina [22]3 years ago
6 0

Answer:

( 4.8 ,7.6)

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:

( \frac{mx_2+nx_1}{m + n} ,\frac{my_2+ny_1}{m + n})

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

( \frac{3 \times 6+2 \times 3}{3 + 2} ,\frac{3 \times 10+2 \times 4}{3+ 2})

We simplify to get:

( \frac{18+6}{5} ,\frac{30+8}{5})

This gives us:

( \frac{24}{5} ,\frac{38}{5})

( 4.8 ,7.6)

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