3 years ago

Solve the system of equations. 2.5y + 3x = 27 5x – 2.5y = 5

Mathematics

1 answer:

worty [1.4K]3 years ago

3 0

X=4 and y=6
For this, you should use simultaneous equations

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Oxana [17]

$6.36

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scZoUnD [109]

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x: -2

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2 years ago

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Encuentra la ecuacion de la parabola con vertice en el origen y foco en las cordenadas 0,1en su forma ordinaria y general

marusya05 [52]

Answer:

$x^{2}=4y$

$y=\frac{1}{4}x^{2}$

Step-by-step explanation:

Forma ordinaria

La ecuación de la parabola de manera ordinaria está dada por:

$(x-h)^{2}=4p(y-k)$ (1)

Donde:

(h,k) es la coordenda del vértice, en nuestro caso (0,0) ya que está en el origen.
(h,k+p) es la coordenda del foco, en nuestro caso (0,1).

Por lo tanto h = 0, k = 0 y p = 1.

Remplazando estos valores en la ecuación de la parábola, tenemos:

$(x-0)^{2}=4*1(y-0)$

$x^{2}=4y$ (2)

Forma general

La forma general de una parábola esta dada por la siquiente ecuación

$y=ax^{2}+bx+c$

Reordenando la ecuación (2) tenemos:

$y=\frac{1}{4}x^{2}$

Espero esto te haya ayudado!

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3 years ago