If triangle ABC is defined by the coordinated A(3,6), B(7,6), C(7,3) is dilated by a scale factor of 3, with resulting vertex A' at (9,18). What is the the center of dilation?

Center of dilation → (0, 0)

Step-by-step explanation:

Vertices of a triangle ABC are A(3, 6), B(7, 6) and C(7, 3).

If this triangle is dilated by a scale factor of 'k' about the origin,

Rule for the dilation is,

(x, y) → (kx, ky)

If vertex A is dilated by a scale factor of 3 about the origin,

A(3, 6) → A'(3×3, 3×6)

           → A'(9, 18)

Therefore, center of dilation is origin (0, 0).

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.