ddeavionn
contestada

Which system of equations is represented by the graph?
A) y = x
y = -x-10, over x-4

B) y = −x
y = x+10, over x-4

C) y = x
y = -x+10 divided by the quantity x-4

D) y = −x
y = -x+10 divided by the quantity x-4

Which system of equations is represented by the graph A y x y x10 over x4 B y x y x10 over x4 C y x y x10 divided by the quantity x4 D y x y x10 divided by the class=

Respuesta :

gmany

Answer:

[tex]\large\boxed{C)\ \left\{\begin{array}{ccc}y=x\\\\y=\dfrac{-x+10}{x-4}\end{array}\right}[/tex]

Step-by-step explanation:

We have the points

(-2 , -2) → x = -2 and y = -2 → x = y

(5, 5) → x = 5 and y = 5 → x = y

The equation of a line is [tex]y=x[/tex]

The hyperbola has the vertical asymptote x = a and the horizontal asymptote y = -1.

Therefore the second equation is:

[tex]y=\dfrac{a}{x-4}-1=\dfrac{a}{x-4}-\dfrac{x-4}{x-4}=\dfrac{a-(x-4)}{x-4}=\dfrac{a-x+4}{x-4}[/tex]

Where a > 0.

The corresponding equation in the solutions to choose is:

[tex]y=\dfrac{-x+10}{x-4}[/tex]

Otras preguntas