Tentukan persamaan garis singgung lingkaran (x=2)²+(y=3)²=100 melalui titik (8, 5)
Answer (4)
It could be obsession. As obsession is defined as the reoccurring mental thought or idea of something. This obsession has caught you up or to overthink. For instance in a situation that has caught you up, you engross yourself with it. Overthinking like obsession is a mental act or a cognitive resonance which is still different from behavior or compulsion, as the word for it.
Another term for overthinking is 'rumination,' which implies an excessive and repetitive dwelling on thoughts or problems.
Another word for overthinking is ruminating . This term goes beyond basic thinking and suggests a level of obsessive contemplation wherein a person might dwell deeply on specific thoughts or problems. Rumination can lead to a cycle of excessive self-reflection and worry, making it difficult to make decisions or move forward.
In relation to the process of writing and research, this might manifest as becoming bogged down with details, struggling to find clarity, or endlessly seeking the perfect words. Often, employing strategies like taking breaks, discussing the issues with others, or embracing methods to foster peace of mind, can help in alleviating the stress of overthinking. Moreover, the term 'metacognition' also describes an awareness and understanding of one's own thought processes, but it is not necessarily associated with the negative aspects of ruminating.
Another word for overthinking is rumination, which refers to the repetitive cycle of distressing thoughts. This behavior can arise from stress and anxiety, leading to effects on mental health and decision-making. Techniques like mindfulness can help manage these tendencies.
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Penjelasan dengan langkah-langkah:1. Persamaan Garis Singgung dengan Gradien:- y - 3 = m(x - 2) ± 10√(1 + m²)2. Garis Singgung Melalui Titik (8, 5):- Substitusikan x = 8 dan y = 5 ke persamaan garis singgung:5 - 3 = m(8 - 2) ± 10√(1 + m²)2 = 6m ± 10√(1 + m²)- Sederhanakan:1 = 3m ± 5√(1 + m²)- Pindahkan 3m ke sisi kiri:1 - 3m = ± 5√(1 + m²)- Kuadratkan kedua sisi untuk menghilangkan akar:(1 - 3m)² = 25(1 + m²)1 - 6m + 9m² = 25 + 25m²- Sederhanakan dan jadikan persamaan kuadrat:16m² + 6m + 24 = 08m² + 3m + 12 = 03. Cari Nilai m (Gradien):- Gunakan rumus ABC untuk mencari akar-akar persamaan kuadrat:m = (-b ± √(b² - 4ac)) / 2am = (-3 ± √(3² - 4 * 8 * (-12))) / (2 * 8)m = (-3 ± √(9 + 384)) / 16m = (-3 ± √(393)) / 16- Jadi, kita punya dua nilai m:- m₁ = (-3 + √(393)) / 16 ≈ 1.09- m₂ = (-3 - √(393)) / 16 ≈ -1.464. Persamaan Garis Singgung:- Gunakan persamaan garis lurus y - y₁ = m(x - x₁) dengan titik (8, 5) dan masing-masing nilai m:- Garis singgung 1:y - 5 = 1.09(x - 8)y = 1.09x - 8.72 + 5y = 1.09x - 3.72- Garis singgung 2:y - 5 = -1.46(x - 8)y = -1.46x + 11.68 + 5y = -1.46x + 16.68 Kesimpulan:Persamaan garis singgung lingkaran (x-2)² + (y-3)² = 100 melalui titik (8, 5) adalah:- y = 1.09x - 3.72- y = -1.46x + 16.68
