Compute the distance between the points. \( (21,-14) \) and \( (13,1) \) The distance between the given points is 0 of 1 (Type an exact answer, using radicals as needed.)
Solución de inteligencia artificial de Upstudy
Responder
Solución

¡Inicia sesión para desbloquear respuestas gratis!
Una plataforma de aprendizaje en la que confían millones de estudiantes y profesores reales.

Respondido por UpStudy AI y revisado por un tutor profesional
Extra Insights
To find the distance \(d\) between the points \((x_1, y_1) = (21, -14)\) and \((x_2, y_2) = (13, 1)\), we can use the distance formula: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] Substituting in the coordinates: \[ d = \sqrt{(13 - 21)^2 + (1 - (-14))^2} \] \[ = \sqrt{(-8)^2 + (1 + 14)^2} \] \[ = \sqrt{64 + 15^2} \] \[ = \sqrt{64 + 225} \] \[ = \sqrt{289} \] \[ = 17 \] The distance between the given points is \(17\).
