If y varies directly with x and y = -12 when x = 6 find x when y = -4 A -2 B 3 C -3 D 2

D

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = - 12 when x = 6, thus

- 12 = 6k ( divide both sides by 6 )

- 2 = k

y = - 2x ← equation of variation

When y = - 4, then

- 4 = - 2x ( divide both sides by - 2 )

2 = x → D

  q

step-by-step explanation:

each line from a vertex to the midpoint of the opposite side is called a median. the point where the medians intersect, point q, is the centroid.

the centroid of δabc is point q.

2(2x + 3) = -4 + 2(2x + 5)

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 6

4x - 6 + 6 = 4x - 6 + 6

4x = 4x

x = x

unlimited solutions.