which points are solutions to the linear inequality y < 0.5x + 2? check all that apply.

(–3, –2)

(–2, 1)

(–1, –2)

(–1, 2)

(1, –2)

(1, 2)

Points (-3,-2), (-1,-2), (1,-2) and (1,2) are solutions to the given inequality.

Step-by-step explanation:

We are given the following inequality in the question:

We have to check which points give the solution to the given inequality.

1) (-3,-2)

Putting the values in the given inequality:

The above point is a solution to the given inequality.

2) (-2,1)

Putting the values in the given inequality:

The above point is not a solution to the given inequality.

3) (-1,-2)

Putting the values in the given inequality:

The above point is a solution to the given inequality.

4) (-1,2)

Putting the values in the given inequality:

The above point is not a solution to the given inequality.

5) (1,-2)

Putting the values in the given inequality:

The above point is a solution to the given inequality.

6) (1,2)

Putting the values in the given inequality:

The above point is a solution to the given inequality.

Points (-3,-2), (-1,-2), (1,-2) and (1,2) are solutions to the given inequality.

la parábola es el lugar

geométrico en el cual los puntos tienen una distancia idéntica, equidistantes,

de un punto denominado foco, f, y una recta denominada directriz

el radio vector de una

parábola es el segmento que existe entre un punto cualquiera y el foco.

por la ecuación se observa

que la parábola abre hacia la derecha, por lo cual podemos usar las siguientes fórmulas

la ecuación ordinaria de la

parábola es y^2 = 4px, donde p es la longitud desde el vértice de la parábola al

foco.

la fórmula de la directriz

es x + p = 0

resolviendo:

y^2-9x = 0

y^2 = 9x

4p = 9, entonces p = 9/4

entonces el foco tendrá la

coordenada f(9/4,0)

la directriz vendrá

expresada por

x + p = 0

x = -p

x = -9/4

el problema indica que la

ordenada es igual a 6, entonces

(6)^2=9x

x = 36/9

x = 4

entonces el punto al cual

hay que obtener la distancia será p(4,6)

calculando se tendrá: pf = 

pf = 6,25 u

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step-by-step explanation:

multiple all that

step-by-step explanation:

27×17