1. let c = (1,4), p = (5,2), and p′ = (13,−2). there is a dilation that leaves c where it is and transforms p into p′. the point c is called the dilation center. explain why the magnitude of this dilation is 3. calculate q′, given that q = (3,5). calculate r, given that r′ = (−6, 7).

The dilatation is 3 because the separation between the dilatation center C and P grows by that factor of 3.

Explanation:

Comparing the separation on each direction, 12/4 = 3 and 6/2 = 3. Therefore, that's the dilatation value.

Alternatively, by computing the distances between the points

emily ruth's annual premium is $1058.50

step-by-step explanation:

emily ruth is a female of 27 years age purchasing 20 year endowment insurance with face value $25000.

from the given table,

for females, the age of a male 3 years younger should be used.

so, we have to check for 24 year male for 20 year endowment.

it is 42.34 for every $1000 face value.

for a face value of $25000,

it is 25 * 42.34 = $1058.50

∴ emily ruth's annual premium is $1058.50