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yourfreeshoppep3u91x
26.02.2021 •
Mathematics
Halla la ecuación de la circunferencia con r=10 y cuyo centro es el punto medio que une los puntos del segmanto A=(-7,-6) B(3,14). Escribe la ecuación en la forma ordinaria.
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Ответ:
Responder:
(x + 2) ² + (y-4) ² = 100
Explicación paso a paso:
La ecuación de un círculo se expresa como (x-x0) ² + (y-y0) ² = r²
r es el radio
(x0, y0) es el centro
Dado que el centro representa el punto medio de (-7, -6) y (3,14)
x0 = -7 + 3/2
x0 = -4/2
x0 = -2
y0 = -6 + 14/2
y0 = 8/2
y0 = 4
Sustituir en la expresión
(x - (- 2)) ² + (y-4) ² = 10²
(x + 2) ² + (y-4) ² = 100
Por lo tanto, la ecuación requerida del círculo es (x + 2) ² + (y-4) ² = 100
Ответ:
2) Angle PQR measures 85°.