The endpoints of directed line segment PQ have coordinates of P (-7, -5) and Q (5, 3). What are the coordinates of point A, on segment PQ, that divide segment PQ into a ratio of 1:3?

(2,1)

Step-by-step explanation:

The coordinate point between two points divided between ratio a and b is expressed as;

(X, Y) = [(ax1+bx2/a+b,ay1+by2/a+b]

Given the coordinate points (-7,-5) and (5,3) divided within the ratio 1:3

X = ax1+bx2/a+b

X = 1(-7)+3(5)/1+3

X = -7+15/4

X = 8/4

X = 3

Similarly

Y = ay1+by2/a+b

Y = 1(-5)+3(3)/1+3

Y = -5+9/4

Y = 4/4

Y = 1

Hence the required coordinate point is (2,1)

a net is a diagram that shows a “flattened” view of a solid. in a net, each face and base is shown with all of its dimensions. a net can also serve as a pattern to build a three-dimensional solid.

a pyramid is a three-dimensional object with a base that is a polygon and triangular faces that meet at one vertex.

" the net of a triangular pyramid consists of four triangles. the base here we are given of the pyramid is a equilateral   triangle, and the lateral faces are also triangles "

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: