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how to find range of a function - RTA

📅 May 13, 2026 👤 scraface

May 13, 2026

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📝 Recent Posts

A triangle has side lengths 13 cm, 14 cm, and 15 cm. What is its area...
Semi-perimeter: \( s = \frac{13+14+15}{2} = 21 \) cm
Area: \( \sqrt{s(s-a)(s-b)(s-c)} = \sqrt{21(21-13)(21-14)(21-15)} \)
\( = \sqrt{21 \times 8 \times 7 \times 6} = \sqrt{7056} = 84 \) cm²
#### 84 cm²
A ball is thrown upward with initial velocity 32 m/s from 20 meters hi...
Equation: \( h(t) = -4.9t^2 + 32t + 20 \)
Set \( h(t) = 0 \): \( -4.9t^2 + 32t + 20 = 0 \)
Use quadratic formula: \( t = \frac{-32 \pm \sqrt{32^2 + 4 \times 4.9...
Discriminant: \( 1024 + 392 = 1416 \), \( \sqrt{1416} \approx 37.65 \)

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