What scale factor was applied to the first rectangle to get the resulting image? enter your answer as a decimal in the box

The scale factor is

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional , and this ratio is called the scale factor

Let

z----> the scale factor

x ----> the corresponding side of the resulting image

y-----> the corresponding side of the first rectangle

we have

substitute

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.