Precálculo Ejemplos

(0, 0)

$(0, 0)$ ,

(- 6, 6)

$(- 6, 6)$

Paso 1

La fórmula del punto medio es

M = (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})

$M = (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$ .

M = (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})

$M = (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$

Paso 2

Establece

x_{M}

$x_{M}$ igual a la coordenada

x_{M}

$x_{M}$ .

x_{M} = \frac{x_{1} + x_{2}}{2}

$x_{M} = \frac{x_{1} + x_{2}}{2}$

Paso 3

Resuelve

x_{2}

$x_{2}$

x_{2} = 2 (x_{M}) - (x_{1})

$x_{2} = 2 (x_{M}) - (x_{1})$

Paso 4

Sustituye los valores de

x_{M}

$x_{M}$ y

x_{1}

$x_{1}$ en

x_{2} = 2 (x_{M}) - (x_{1})

$x_{2} = 2 (x_{M}) - (x_{1})$ .

x_{2} = 2 \cdot (- 6) - (0)

$x_{2} = 2 \cdot (- 6) - (0)$

Paso 5

Simplifica el lado derecho de

x_{2} = 2 \cdot (- 6) - (0)

$x_{2} = 2 \cdot (- 6) - (0)$ .

Toca para ver más pasos...

Paso 5.1

Multiplica

2

$2$ por

- 6

$- 6$ .

x_{2} = - 12 - (0)

$x_{2} = - 12 - (0)$

Paso 5.2

Resta

0

$0$ de

- 12

$- 12$ .

x_{2} = - 12

$x_{2} = - 12$

x_{2} = - 12

$x_{2} = - 12$

Paso 6

Establece

y_{M}

$y_{M}$ igual a la coordenada

y_{M}

$y_{M}$ .

y_{M} = \frac{y_{1} + y_{M}}{2}

$y_{M} = \frac{y_{1} + y_{M}}{2}$

Paso 7

Resuelve

y_{2}

$y_{2}$

y_{2} = 2 (y_{M}) - (y_{1})

$y_{2} = 2 (y_{M}) - (y_{1})$

Paso 8

Sustituye los valores de

y_{M}

$y_{M}$ y

y_{1}

$y_{1}$ en

y_{2} = 2 (y_{M}) - (y_{1})

$y_{2} = 2 (y_{M}) - (y_{1})$ .

y_{2} = 2 \cdot (6) - (0)

$y_{2} = 2 \cdot (6) - (0)$

Paso 9

Simplifica el lado derecho de

y_{2} = 2 \cdot (6) - (0)

$y_{2} = 2 \cdot (6) - (0)$ .

Toca para ver más pasos...

Paso 9.1

Multiplica

2

$2$ por

6

$6$ .

y_{2} = 12 - (0)

$y_{2} = 12 - (0)$

Paso 9.2

Resta

0

$0$ de

12

$12$ .

y_{2} = 12

$y_{2} = 12$

y_{2} = 12

$y_{2} = 12$

Paso 10

El extremo es

(- 12, 12)

$(- 12, 12)$ .

(- 12, 12)

$(- 12, 12)$

Ingresa TU problema