contestada

Fernando and Maria are at opposite sides of a park. They plan to meet later at a fountain that is located somewhere between them. Maria will arrive at the fountain first, before Fernando even leaves his starting location. The ratio of Maria's starting location to the fountain to Fernando's starting place is 5:3. What is the location of the fountain? Round to the nearest tenth, if necessary.

Fernando and Maria are at opposite sides of a park They plan to meet later at a fountain that is located somewhere between them Maria will arrive at the fountai class=

Respuesta :

MrRoyal

Lines can be divided in ratios.

The coordinates of the fountain is (-1,-0.5)

From the graph, we have the following coordinate points

[tex]\mathbf{Maria = (4,2)}[/tex]

[tex]\mathbf{Fernando = (-4,-2)}[/tex]

The ratio is given as:

[tex]\mathbf{m : n = 5 : 3}[/tex]

The coordinates of the fountain is calculated using:

[tex]\mathbf{Fountain = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})}[/tex]

So, we have:

[tex]\mathbf{Fountain = (\frac{5\times -4 + 3 \times 4}{5 + 3},\frac{5\times -2 + 3 \times 2}{5 + 3})}[/tex]

[tex]\mathbf{Fountain = (\frac{-8}{8},\frac{-4}{8})}[/tex]

[tex]\mathbf{Fountain = (-1,-0.5)}\\[/tex]

Hence, the coordinates of the fountain is (-1,-0.5)

Read more about line segment ratios at:

https://brainly.com/question/12298322

Bhradda

Answer:

Its -1, -0.5. the guy above is correct.

Step-by-step explanation:

Edge 2022

Otras preguntas