Given two concentric circles (circles that have the same center point), with the inner circle having a radius of r1 and the outer one having a radius of

r2 as shown, give a dilation that would map the inner circle onto the outer

circle. Specify both the center of dilation and the scale factor.

The center of dilation has a coordinate of and the scale factor is . The transformation formula is .

Two circles are concentric when they share the same center () but they have different radii (), where corresponds to the radius of the smaller circle. By analytic geometry we know that circles are modeled after this formula:

    (1)

If we assume that the center of dilation is the center of both circles and the dilation use a scale factor of . Then, we have the following expression:

    (2)

The center of dilation has a coordinate of and the scale factor is . The transformation formula is .

To learn more on dilations, we kindly invite to check this verified question:

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

The answer is in the image 

The total nom of  code that can be used is equal to 5+3 = 8

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

The solution is given in the image below

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76