What is the system of inequalities associated with the following graph? 3x + y ≥ -3 x + 2y ≤ 4 -3x – y ≥ -3 x + 2y ≤ 4 3x + y ≥ -3 x – 2y ≥ 4 3x – y ≤ 3 x – 2y ≥ 4

One line passes through the points (-2,3) and (0,-3) , it means the y intercept is b=-3

and slope m =

So the equation of line will be

And the inequality should be

Or

And the other line passes through (-2,3) and (0,2)

So the y intercept is b=2

and the slope is

So the equation of line will be

Or

So answer is

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !