Pentagon abcde is shown on the coordinate plane below.

if pentagon abcde is rotated 180° around the origin to create pentagon a’b’c’d’e’, what is the ordered pair of point d’? answer (2, 1) (-1, 2) (1, -2) (-2, -1)

Option 2 is correct. The ordered pair of D'(-1,2)

Step-by-step explanation:

If pentagon ABCDE is rotated 180° around origin to create pentagon A'B'C'D'E'

We need to find the ordered pair of point D'

We will use the formula of rotation of coordinate about origin.

We need to find the coordinate of D' which is corresponding of D.

Coordinate of D: (1,-2)

Now we find D':(x',y')

D' (-1,2)

Thus, The ordered pair of D'(-1,2)

the distance from any point on the parabola to the focus is the exact same as the distance from that point to the directrix.

if you could provide answer choices that might allow me to answer the question easier if my above answer isn't an option! (:

hello from mrbilldoesmath!

answer:

a(n) - a(n-1) -3

discussion:

this ones a bit interesting. given a(n) = 5 - 3n consider this:

a(n-1) = 5 - 3(n-1)

          = (5 - 3n) + 3             => but a(n) = 5 - 3n, the first term

          = a(n)   + 3                 => subtract 3 from both sides

a(n-1) -3 = a(n)  

or

a(n) - a(n-1) -3

you,

mrb