Write an equation of a parabola that opens downward, has a vertex at the origin, and a focus at (0, –1).

Step-by-step explanation:

The general equation of parabola :

    (i)

where (h,k) = vertex of parabola

Focus = (h,k+p)

When p<0 , the parabola opens downwards.

As per given  , (h,k) = (0,0)

focus =  (0, –1).

i.e. h=0 , k=0 , k+p=-1 , i.e. p=-1

On substituting the value of h , k and p in (i) , we get

Equation of a parabola that opens downward, has a vertex at the origin, and a focus at (0, –1) :

2 x t divided by n

step-by-step explanation:

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq