Suppose that a class of 20 students is assigned to write an essay. Suppose 3 essays are picked at random. How many groups of 3 are possible? What if the 3 essays picked at random are given awards of $20, $10, and $5. How many groups of 3 are possible now?

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)