The vertices of a parallelogram are shown below.
(0, 0), (27, 0), (36, 30), (9, 30)
which of the following points is a vertex for the image produced by a dilation about the origin with a scale factor of 1/3?
a.
(3, 3)
b.
(10, 9)
c.
(3, 15)
d.
(3, 10)

based on context clues you gave i'm assuming the answer would be c.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

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

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions