8⊕6 is 10
Step-by-step explanation:
We will use the substitution method to solve this problem
∵ The operation ⊕ is defined by p⊕q = [tex]\sqrt{p^{2}+q^{2}}[/tex]
∵ You want to find 8⊕6
- Then do these steps:
∵ p = 8
∴ p² = 8² = 64
∵ q = 6
∴ q² = 6² = 36
∵ p⊕q = [tex]\sqrt{p^{2}+q^{2}}[/tex]
- Substitute p by 8 and q by 6 in the rule above
∴ 8⊕6 = [tex]\sqrt{(8)^{2}+(6)^{2}}[/tex]
- Substitute 8² by 64 and 6² by 36
∴ 8⊕6 = [tex]\sqrt{64+36}[/tex]
∴ 8⊕6 = [tex]\sqrt{100}[/tex]
∵ [tex]\sqrt{100}=10[/tex]
∴ 8⊕6 = 10
8⊕6 is 10
Learn more:
You can learn more about the substitution method in brainly.com/question/9390381
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