What is the solution to the system of equations graphed below y=1/2x+2 y=-2x+-3

Step-by-step explanation:

given the system of equations y=1/2x+2 and y=-2x+-3, since the 2 equations are functions of y, we will equate both equations together and calculate the value of x as shown

1/2x+2 = -2x-3

x/2+2x = -3-2

5x/2 = -5

5x = -10

x = -10/5

x = -2

Substituting x = -2 into any of the equation to get the value of y we have;

y = -2(-2)-3

y = 4-3

y = 1

The solution to the system of equation (x, y) = (-2, 1)

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:

2.56 is the width of the garden

step-by-step explanation: