The point (5, -2) is rotated 90° about the origin. its image is

To solve this we must follow the rule of the 90 degrees rotation. It states that the coordinates of a  point will be switched and then the x value will be negative.

(x,y)=(y,-x)

So the new coordinates for your point would be (-2,-5)

(5,-2)=(-2,-5)

Which is our final answer.

Hope this helps!

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