Mathematics, 02.09.2019 03:30, oakleylynn

(1 pt)
three vertices of a rectangle are given. find the coordinates of the fourth vertex.
(–3, –3), (7, –3), (7, 2)
a.
(2, –3)
b.
(3, 2)
c.
(3, –2)
d.
(–3, 2)

Answers: 1

Show answers

Answers

The correct answer is choice D, or (-3, 2). We can tell because if we plot out the points, we go left 3, down 3 for (-3, -3), then right 7, down 3 for (7, -3), then right 7, up 2 for (7, 2), therefore the remaining point would have to be left -3, up 2, which is shown in choice D.
Hope that helped =)

answered: Guest

b. the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

f(-2) = -3f(1) = 6 . . . estimated from f(x) = (x+2)^2-3, which matches points on the graph (-1,-2) and (0, 1)

so the change in y-value for function f is (6 )) = 9.

the table tells us

g(-2) = 1g(1) = 31

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

answered: Guest

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