Subjects algebra

Masofa To G Ri Chiziq A06E1F

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1. Masala: Koordinatalar boshidan $2x - 5y - 5 = 0$ to'g'ri chiziqqacha bo'lgan masofani toping. 2. To'g'ri chiziqning umumiy ko'rinishi: $$Ax + By + C = 0$$ 3. Koordinatalar boshidan to'g'ri chiziqqacha bo'lgan masofa formulasi: $$d = \frac{|Ax_0 + By_0 + C|}{\sqrt{A^2 + B^2}}$$ Bu yerda $(x_0, y_0)$ - koordinatalar boshining nuqtasi, ya'ni $(0,0)$. 4. Berilgan to'g'ri chiziq uchun: $A=2$, $B=-5$, $C=-5$. 5. Masofani hisoblaymiz: $$d = \frac{|2 \cdot 0 - 5 \cdot 0 - 5|}{\sqrt{2^2 + (-5)^2}} = \frac{|-5|}{\sqrt{4 + 25}} = \frac{5}{\sqrt{29}}$$ 6. Javob: Koordinatalar boshidan to'g'ri chiziqqacha bo'lgan masofa $$\frac{5}{\sqrt{29}}$$ birlik.