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Home » Multiply both sides by \(x^2 + y^2 + z^2\): - Parker Core Knowledge

Multiply both sides by \(x^2 + y^2 + z^2\): - Parker Core Knowledge

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 Substitute (1) and (2) into the identity:

📌 7^2 = 25 + 2ab

📌 = 25 + 2ab

📌 2ab = 49 - 25 = 24

📌 ab = \frac{24}{2} = 12

📌 Thus, the value of $ ab $ is $\boxed{12}$.

📌 Question: Solve for $ x $: $ 3(x - 4) + 2(5 - x) = 10 $.

📌 Start by expanding both sides of the equation:

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For $\sin z = 1$: $z = 90^\circ$.
For $\sin z = \frac{1}{2}$: $z = 30^\circ, 150^\circ$.
Thus, solutions are $30^\circ, 90^\circ, 150^\circ$.
\boxed{30^\circ}, \boxed{90^\circ}, \boxed{150^\circ}
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Numbers greater than 7 on a 10-sided die: 8, 9, 10 → 3 outcomes
Probability of success (rolling >7): $ p = \frac{3}{10} = 0.3 $
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