Alvin is 12 years younger than Elga. The sum of their ages is 32. What is Elga's age?

Polygons efgh and e′f′g′h′ are shown on the coordinate grid: what set of transformations is performed on efgh to form e′f′g′h′? a. a translation 1 unit to the left followed by a 90-degree counterclockwise rotation about the origin b. a translation 1 unit to the right followed by a 90-degree counterclockwise rotation about the origin c. a 90-degree clockwise rotation about the origin followed by a translation 2 units to the right d. a 90-degree clockwise rotation about the origin followed by a translation 2 units to the left

If f(x)=x^3 and g(x)=2x+7 when g(x)=-5

If the scale factor between two circles is 2x/5y what is the ratio of their areas?