The square pqrs is shown. A dilation image of square PQRS with a scale factor 5 and center at the origin is drawn. The image is square p'q'r's

What is the ratio of the length of p'q' to the length of q'r?

1:1

Step-by-step explanation:

The ratio would be 1:1 since it's a square, the sides will always be the same. In a square ,all sides are the same length. If they are not, then it wouldn't be a square.

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