Circle J was dilated to form circle J'. The diameter of circle J is 2 units and the diameter of circle J' is 18 units. What is the relationship between the areas of circle J and circle J'?

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  circle J' has 81 times the area of circle J

Step-by-step explanation:

The ratio of areas is the square of the dilation factor. That factor is 18/2 = 9, so the dilated circle has an area that is 9² = 81 times that of the original.

14

step-by-step explanation:

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.