Aparabola has a vertex at the origin. the equation of the directrix of the parabola is y = 3. what are the coordinates of its focus?

Step-by-step explanation:

Given that a parabola has a vertex at the origin.

The equation of the directrix of the parabola is y = 3.

When directrix  is a horizontal line y =3 we find that distance of vertex from directrix is 3 units.

By definition of parabola, the focus lies on the axis of parabola which here is x=0(since perpendicular to y=3 and through vertex)

Since any point is equidistant from focus and directrix,

we get vertex is 3 units down from origin on y axis.

Hence focus is (0,-3)

answer: bea's uncle is 25 years old.

step-by-step explanation:

given the equation , we can say that the variable "x" represents the age of bea's uncle. then to find his age, we need to solve for "x":

we must add 15 to both sides of the equation:

now we need to divide both sides of the equation by 3:

therefore, we can conclude that bea's uncle is 25 years old.

seven students earned $833 by shoveling snow. if they share the money equally, how much money will each student get

answer: each student earns $119

step-by-step explanation:

to find the answer you have to divide 833/7 which is 119