Plz help will give brainliest to right answer due in 5 minutes

6

Step-by-step explanation:

The area of the rectangle Thea drew is 8*9=72 square units.

The area of the original rectangle is 2 square units in

Let the scale factor of the dilation be k-units.

Then to obtain the area of the scaled version, we multiply the original area by k².

That is ,

We now solve for k.

Take square root;

Therefore the scale factor is 6

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)