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Arada [10]
3 years ago
9

Eliana drove her car 81 km, space, k, m and used 9 liters of fuel. She wants to know how many kilometers(x) she can drive on 22

liters of fuel. She assumes her car will continue consuming fuel at the same rate. How far can Eliana drive on 222222 liters of fuel?
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
8 0

Question: Eliana drove her car 81 km, space, k, m and used 9 liters of fuel. She wants to know how many kilometers(x) she can drive on 22 liters of fuel. She assumes her car will continue consuming fuel at the same rate. How far can Eliana drive on 222222 liters of fuel?

Answer: Eliana can drive on 22 liters of fuel and can drive up to 198 km

Explanation: 9 liters = 81km so 81 divided by 9  so now it becomes 1 liter =9km  22 liters so 22x9 = 198km

question answered by

(jacemorris04)

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Escribe una ecuación de la recta que pasa por el punto (5, –8) con pendiente 5.
Nana76 [90]

Considerando la expresión de una ecuación lineal, la ecuación de la recta que pasa por el punto (5, –8) con pendiente 5 es y= 5x - 33.

<h3>Ecuación lineal</h3>

Una ecuación lineal o línea se puede expresar en la forma y = mx + b

donde

  • x y son coordenadas de un punto.
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  • b es la ordenada al origen y representa la coordenada del punto donde la línea cruza el eje y.

La ecuación lineal se puede expresar también mediante la ecuación punto-pendiente de la recta, que se plantea si se conoce la pendiente de la recta y cualquiera de sus puntos. Con ello queda determinada la recta, conociendo la pendiente  “m” y un punto  (x1, y1) dado:

y - y1= m(x -x1)

<h3>Ecuación de la recta en este caso</h3>

En este caso, la recta que pasa por el punto (5, –8) con pendiente 5.

Reemplazando en la ecuación punto-pendiente de la recta:

y - (-8)= 5(x -5)

Resolviendo:

y + 8= 5(x -5)

Aplicando propiedad distributiva:

y + 8= 5x - 5×5

y + 8= 5x - 25

Aislando la variable "y":

y= 5x - 25 - 8

<u><em>y= 5x - 33</em></u>

Finalmente, la ecuación de la recta que pasa por el punto (5, –8) con pendiente 5 es y= 5x - 33.

Aprende más sobre ecuación de una recta:

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