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Mashutka [201]
3 years ago
10

-3x - 4y = 4 -5.2 +y = 2 Is (2, 10) a solution of the system?

Mathematics
1 answer:
Dmitrij [34]3 years ago
6 0

Answer:

No

Step-by-step explanation:

when checking to see if a point satisfies a system of equations

plug in x and y values from your point into the system

(2, 10)

x y

-3(2) - 4(10) = 4. and. -5.2 + 10 = 2

-6-40 = 4. 4.8. = 2

-46 = 4.

invalid statement. invalid statement

therefore the point (2, 10) does not satisfy this system of equations.

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Answer:

a) Martín recorrió más distancia, b) A Samuel, Martín y Santiago les falta 7.05, 7.55 y 7.883 kilómetros, respectivamente, c) La distancia recorrida promedio es 21.889 kilómetros, d) Martín recorrió 0.333 kilómetros más que Santiago.

Step-by-step explanation:

a) En primer lugar, convertimos la distancia recorrida por cada persona a su forma decimal:

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Martin

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Santiago

21\,km + \frac{5}{12}\,km = 21.417\,km

Como puede apreciarse, Martín recorrió más distancia.

b) La distancia faltante es igual a la sustracción de la distancia recorrida por la persona a la distancia total:

Samuel

x = 29.3\,km -22.25\,km

x = 7.05\,km

Martin

x = 29.3\,km - 21.75\,km

x = 7.55\,cm

Santiago

x = 29.3\,km - 21.417\,km

x = 7.883\,km

A Samuel, Martín y Santiago les falta 7.05, 7.55 y 7.883 kilómetros, respectivamente.

c) La distancia recorrida promedio se obtiene sumando las distancias recorridas de las tres personas y dividiendo el resultado por la cantidad de personas:

\bar{x} = \frac{22.5\,km + 21.75\,km + 21.417\,km}{3}

\bar x = 21.889\,km

La distancia recorrida promedio es 21.889 kilómetros.

d) Esta diferencia se encuentra a restar la distancia recorrida por Santiago a la distancia recorrida por Martín:

x = 21.75\,km - 21.417\,km

x = 0.333\,km

Martín recorrió 0.333 kilómetros más que Santiago.

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