a point q on a segment with endpoints a (2, −1) and c (4, 2) partitions the segment in a 4: 1 ratio. find q. you must show all work to receive credit.

point q: (3.6, 1.4)

step-by-step explanation:

when you need to find a point between 2 points, you can work with "x" and with "y" separately:

point a: (2, -1)

point c: (4, 2)

distance in x: (4-2) = 2

distance in y: ()) = 3

the point q partitions the segment in 4: 1, from that you can divide the segment in 5 parts.

each part in x = 2/5 = 0.4

each part in y = 3/5 = 0.6

i will assume that the 4 parts are from a to q (because it isnt specified in the problem)

q: point a + 4 parts:

point q: (2, -1) +(0.4*4, 0.6*4) = (3.6, 1,4)

c

step-by-step explanation:

c

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation: