If you have a rectangle that is 2 by 2 and you dilate it by 2, the sides are now 4 x 4. So:
If you dilate it by a factor of 2, the area is 2^2 (4) times as great
A factor of 3 would have an area of 9 times as much.
Conclusion: square the scale factor to get how much greater the area would be.
where
.
By continuity of
, you have
As
in the numerator, you approach
; in the denominator, you approach
. So you have an indeterminate form
. Provided the limit indeed exists, L'Hopital's rule can be used.
Now the numerator approaches
, while the denominator approaches
, suggesting the limit above is 2. This means
The answer to this question is going to be 88.53 because you shift it horizontally
32, 52, 96 is the correct answer.
(x) (2x-12) (3x)
6x-12=180
-12+12=0, 180+12=192
6x=192
6÷6=0, 192÷6=32
×=32. 2(32)-12=52. 3(32)=96
32, 52, 96.
