The position of a starship is given by the equation Pt = (18 + 3t, 24 + 4t, 110 − 5t). For what values of t is the starship within 100 units of a space station placed at the origin?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.7: Transforming Formulas
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The position of a starship is given by the equation Pt = (18 + 3t, 24 + 4t, 110 − 5t). For what values of t is the starship within 100 units of a space station placed at the origin?

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