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3 years ago

What is the answer to y=5x

1 answer:

5 0

Y/x = 5 bc in order to isolate the variables you must divide by x on both sides to separate the 5, leaving you with y/x=5

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Ecuación de la hipérbola con centro en (0;0), focos en abrir paréntesis 0 coma espacio menos raíz cuadrada de 28 cerrar paréntes

yaroslaw [1]

Answer:

$\frac{y^{2}}{25}-\frac{x^{2}}{3}=1$

Step-by-step explanation:

Para resolver este problema debemos tomar en cuenta los datos que nos dan y la ecuación de una hipérbola. Comencemos con los datos:

centro: (0,0)

focos: $(0,-\sqrt{28}),(0,\sqrt{28})$

eje conjugado = $2\sqrt{3}$

por los focos podemos ver que la hipérbola se dirige hacia el eje y, por lo que debemos tomar la siguiente forma de la ecuación de la parábola:

$\frac{y^{2}}{a^{2}}+\frac{x^{2}}{b^{2}}=1$

de los focos podemos obtener que:

$c=\sqrt{28}$

y del eje conjugado podemos saber que al dividir la longitud del eje conjugado dentro de 2 obtenemos b, así que:

$b=\sqrt{3}$

podemos utilizar la siguiente fórmula para obtener a:

$c^{2}-a^{2}=b^{2}$

si despejamos a en la ecuación obtenemos lo siguiente:

$a=\sqrt{c^{2}-b^{2}}$

ahora podemos sustituir los valores:

$a=\sqrt{(\sqrt{28})^{2}-(\sqrt{3})^{2}}$

$a=\sqrt{28-3}$

$a=\sqrt{25}$

a=5

así que media vez conozcamos a, podemos sustituir los datos en la ecuación de la hipérbola así que obtenemos lo siguiente:

$\frac{y^{2}}{a^{2}}+\frac{x^{2}}{b^{2}}=1$

$\frac{y^{2}}{(5)^{2}}+\frac{x^{2}}{(\sqrt{3})^{2}}=1$

$\frac{y^{2}}{25}+\frac{x^{2}}{3}=1$

si graficamos la hipérbola, queda como en el documento adjunto.

7 0

3 years ago

Brian is participating in a hotdog eating contest. There are 145 hotdogs on his plate and he will have 8 minutes to eat as many

Svetllana [295]

Answer:

Step-by-step explanation:

12 hotdogs per min × 8 minutes = 96

145-96= 49

So he will have 49 hotdogs left.

8 0

2 years ago

Which of the following expressions is equal to 2x^(2)+8?

dusya [7]

Answer:

The expression equal to 2x^(2)+8 is:

First option (2x-4i)(x+2i)

Step-by-step explanation:

If we multiply

(2x-4i)(x+2i)=(2x)(x)+(2x)(2i)-(4i)(x)-4i(2i)

(2x-4i)(x+2i)=2x^(1+1)+4xi-4xi-8i^(1+1)

Simplifying:

(2x-4i)(x+2i)=2x^2-8i^2

and i^2=-1, then:

(2x-4i)(x+2i)=2x^2-8(-1)

Multiplying:

(2x-4i)(x+2i)=2x^2+8

4 0

4 years ago

Find right triangle side x

netineya [11]

Can we see a picture?

7 0

3 years ago

The graph of a linear function passes through the points (-1, -1/4) and (1, -3/4). Which equation represents the function ?

lyudmila [28]

The equation of the line will be given as y = -4x - (- 17/ 4).

<h3>What is an equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that:-

The graph of a linear function passes through the points (-1, -1/4) and (1, -3/4).

The equation of the line will be given as:-

y - y₁ = m ( x - x₁)

slope m will be calculated as:-

$m =\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1+1}{\dfrac{-3}{4}+\dfrac{1}{4}}=-4$

The equation will be:-

y - (1/4) = -4( x + 1 )

y = -4x - (17/4)

Therefore the equation of the line will be given as y = -4x - (- 17/ 4).

To know more about equations follow

brainly.com/question/2972832

#SPJ1

3 0

2 years ago