Find the vertex, focus, directrix, and focal width of the parabola. x = 4y2.

The vertex is (0,0), focus of the parabola is , directrix of the parabola is , focal width is .

Step-by-step explanation:

The given equation of parabola is

It can be written as

          ....(1)

The general equation of parabola is

          ... (2)

Where, (h,k) is vertex, (h+p,k) is focus, y=h-p is directrix and |4p| is focal width.

On comparing (1) and (2), we get

The vertex is (0,0).

Focus of the parabola is

Therefore focus of the parabola is .

Directrix of the parabola is

Directrix of the parabola is .

Focal width is

Focal width is .

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180