Solve for 4(3x-1)+8=2(3x+5)-8

x = -1/3

Step-by-step explanation:

4(3x-1)+8=2(3x+5)-8

Distribute

12x -4 +8 = 6x +10 -8

Combine like terms

12x +4 = 6x +2

Subtract 6x from each side

12x-6x +4 = 6x-6x +2

6x+4 =2

Subtract 4 from each side

6x+4-4=2-4

6x =-2

Divide each side by 6

6x/6 = -2/6

x = -1/3

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

step-by-2step explanation: