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Home » Puisque 625 = 625, c'est un triangle rectangle. - go-checkin.com

Puisque 625 = 625, c'est un triangle rectangle. - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 \[ y = 2\left(-\frac{4}{5}\right) + 3 = -\frac{8}{5} + \frac{15}{5} = \frac{7}{5} \]

📌 Thus, the intersection point is \(\left(-\frac{4}{5}, \frac{7}{5}\right)\).

📌 \(\boxed{\left(-\frac{4}{5}, \frac{7}{5}\right)}\)

📌 An entomologist simplifies a complex ratio of wingbeat frequencies given by \(\frac{3 + \sqrt{5}}{2 - \sqrt{5}}\). Rationalize the denominator and express in simplest form.

📌 Multiply numerator and denominator by the conjugate of the denominator \(2 + \sqrt{5}\):

📌 \[ \frac{3 + \sqrt{5}}{2 - \sqrt{5}} \cdot \frac{2 + \sqrt{5}}{2 + \sqrt{5}} = \frac{(3 + \sqrt{5})(2 + \sqrt{5})}{(2 - \sqrt{5})(2 + \sqrt{5})} \]

📌 First, compute the denominator:

📌 \[ (2)^2 - (\sqrt{5})^2 = 4 - 5 = -1 \]

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