DISTANSIA ENTRE DOS PUNTOSAYUDA QUE NO LE ENTIENDO A NADAa) C (2, 5) y D (1, 3)b) E (−4, 4) y F (3, 3)c) G (0, − 3) y H (7, − 1)d) J (−8, − 7) y K (−3, − 4)e) P (5, −6) y Q (7, 7)f) U (0, 1) y V (5, 0?

Para encontrar la distancia entre 2 puntos utilizamos la formula distancia entre 2 puntos :

<img src="https://tex.z-dn.net/?f=d%20%5E%7B2%7D%20%3D%20%28x1-x2%29%5E%7B2%7D%20%2B%20%28y1-y2%29%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20d%3D%20%5Csqrt%7B%28x1-x2%29%5E%7B2%7D%20%2B%20%28y1-y2%29%5E%7B2%7D%7D%20" />

Empezamos a resolver :

a) C (2, 5) y D (1, 3)

x1 = 2 y1 = 5 x2 = 1 y2 = 3

d = <img src="https://tex.z-dn.net/?f=%5Csqrt%7B%282-1%29%5E%7B2%7D%20%2B%20%285-3%29%5E%7B2%7D%7D" />

d = √5

b) E (−4, 4) y F (3, 3)

x1 = - 4 y1 = 4 x2 = 3 y2 = 3

d = <img src="https://tex.z-dn.net/?f=%5Csqrt%7B%28-4-3%29%5E%7B2%7D%20%2B%20%284-3%29%5E%7B2%7D%7D" />

d = 5√2

c) G (0, − 3) y H (7, − 1)

x1 = 0 y1 = - 3 x2 = 7 y2 = - 1

d = <img src="https://tex.z-dn.net/?f=%5Csqrt%7B%280-7%29%5E%7B2%7D%20%2B%20%28-3%2B1%29%5E%7B2%7D%7D" />

d = √53

d) J (−8, − 7) y K (−3, − 4)

x1 = - 8 y1 = - 7 x2 = - 3 y2 = - 4

d = <img src="https://tex.z-dn.net/?f=%5Csqrt%7B%28-8%2B3%29%5E%7B2%7D%20%2B%20%28-7%2B4%29%5E%7B2%7D%7D" />

d = √34

e) P (5, −6) y Q (7, 7)

d = <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B%285-7%29%5E%7B2%7D%20%2B%20%28-6-7%29%5E%7B2%7D%7D" />

d = √173

f) U (0, 1) y V (5, 0)

d = <img src="https://tex.z-dn.net/?f=%5Csqrt%7B%280-5%29%5E%7B2%7D%20%2B%20%281-0%29%5E%7B2%7D%7D" />

d = √26

Suerte''¡¡

Salu2''¡¡.