HELP PLEASE Prove that if the center of a circle is equidistant from the sides of an inscribed triangle, then the triangle is equilateral

Evaluate-27 ^4/3/8 a) - 81/16 b) 81/16 c) 16/81

If f(x)=3x+1 and f^-1=x-1/3, then f^-1(7)=

Use the ratio test to determine whether ∑n=14∞n+2n! converges or diverges. (a) find the ratio of successive terms. write your answer as a fully simplified fraction. for n≥14, limn→∞∣∣∣an+1an∣∣∣=limn→∞.