A parabola can be drawn given a focus of (4,-8) and a directrix of x = -4. What can be said about the parabola?

It opens to the right and the vertex is at  (0, -8).

The axis of symmetry is y = -8.

Step-by-step explanation:

The vertex is halfway between the directrix and the focus.  

The focus is to the right of the directrix so the curve will open towards the right. The axis of symmetry is the line y = -8.

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

~