Question

be careful

1. if \\( \bigcirc a = a^2 - 4 \\)

and \\( \triangle a = \frac{a + 6}{2} \\)
find
\\( \triangle \bigcirc 6 \\)

Explanation:

Step1: Evaluate the circle operation for \( A = 6 \)

Given \( \bigcirc A = A^2 - 4 \), substitute \( A = 6 \):
\( \bigcirc 6 = 6^2 - 4 = 36 - 4 = 32 \)

Step2: Evaluate the triangle operation with the result from Step1

Given \( \triangle A = \frac{A + 6}{2} \), now substitute \( A = 32 \) (the result from the circle operation):
\( \triangle 32 = \frac{32 + 6}{2} = \frac{38}{2} = 19 \)

Answer:

19