The endpoints of ab are a(9,4) and b(5,-4). the endpoints of its image after a dilation are a'(6,3) and b'(3,-3). find the scale factor and explain each of your steps. this is for geometry a. !

The scale factor is equal to .

Step-by-step explanation:

The formula to calculate vector length if the following, where denotes the length of a vector:

The scale factor formula is then defined by

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