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be careful 16. if \\(\\bigcirc a = a^2 - 4\\) and \\(\\triangle a = \\f…

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

First, we use the formula for the circle operation: $\bigcirc A = A^2 - 4$. Substituting $A = 6$ into this formula, we get:
$\bigcirc 6 = 6^2 - 4 = 36 - 4 = 32$

Step2: Evaluate the triangle operation for the result from Step1

Now, we use the formula for the triangle operation: $\triangle A = \frac{A + 6}{2}$. We substitute the result from Step1, which is $A = 32$, into this formula:
$\triangle 32 = \frac{32 + 6}{2} = \frac{38}{2} = 19$

Answer:

19