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14 days ago

D(-3+x)=kx+9 solve for x

Mathematics

1 answer:

Zina [3.9K]14 days ago

5 0

d(-3 + x) = kx + 9

Distribute d within the parentheses:

-3d + dx = kx + 9

Subtract kx from both sides:

-3d + dx - kx = 9

Add 3d to both sides:

dx - kx = 9 + 3d

Factor x from dx - kx:

x(d - k) = 9 + 3d

Divide both sides by (d - k):

x = $\frac{9+3d}{d-k}$

To further simplify, factor 3 out of the numerator.

x = $\frac{3(d + 3)}{d-k}$

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La altitud del globo por encima del nivel del suelo es de 449,6 metros.

Explicación paso a paso:

El enunciado no está completo. El texto completo es: "Un globo se desplaza entre las ciudades A y B, que se encuentran a 1.500 m de distancia. Los ocupantes del globo observan la ciudad A con un ángulo de depresión de 27°, mientras que, para la ciudad B, el ángulo es de 36°. ¿Cuál es la altura aproximada del globo con respecto al suelo?"

El diagrama que ilustra esta situación está en el archivo adjunto. Para calcular la altura del globo, se pueden emplear las funciones trigonométricas, siendo recomendable hacer uso de la función tangente para los ángulos de depresión mencionados:

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