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igor_vitrenko [27]
3 years ago
10

Halle el valor de "h" del punto centro de la ecuación de la circunferencia cuyo diámetro es el segmento de la recta que une los

puntos A(2,3) y B(4,−1):
Mathematics
1 answer:
cupoosta [38]3 years ago
8 0

Answer:

El punto es (3, 1)

Step-by-step explanation:

Sabemos que la ecuación de un circulo centrado en el punto (a, b), con radio R, se escribe como:

(x - a)^2 + (y - b)^2 = R^2

En este caso, sabemos que el diametro de nuestro circulo es igual al segmento que uno los puntos A(2, 3) y B(4, -1) (y el diametro es el doble del radio)

Entonces el centro del punto es exactamente el punto medio en el segmento dado.

Para encontrar el punto medio en el segmento dado, tenemos que encontrar el punto medio entre los valors en x, y el punto medio entre los valores en y.

Donde el punto medio entre dos valores a y b se calcula como:

punto medio = (a + b)/2  

El punto medio en x es:

x = (2 + 4)/2 = 3

El punto medio en y es:

y = (-1 + 3)/2 = 2/2 = 1

Entonces el punto medio en el segmento es:

C(x, y) = C(3, 1)

Esto quiere decir que el centro de la circunferencia va a ser el punto (3, 1)

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