Question

ayuda urgente por favor ​

Answer 1

Explicación paso a paso:

FÓRMULA

$d = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} }$

A) (4,3) y (6,5)

$d= \sqrt{ {(6 - 4)}^{2} + {(5- 3)}^{2} } \\ \\ = \sqrt{ {(2)}^{2} + {(2)}^{2} } = \sqrt{4 + 4} = \sqrt{8} = 2 \sqrt{2}$

B) (8,4) y (-1,3)

$d = \sqrt{ {( - 1 - 8)}^{2} + {(3 - 4)}^{2} } \\ = \sqrt{ {( - 9)}^{2} + {( - 1)}^{2} } = \sqrt{81 + 1 } = \sqrt{82}$

C) (-2,1) y (2,-2)

$d = \sqrt{ {(2 - ( - 2))}^{2} + {( - 2 - 1)}^{2} } \\ = \sqrt{ {(4)}^{2} + {( - 3)}^{2} } = \sqrt{16 + 9} = \sqrt{25} = 5$

D) (-6, -3) y (-3,-3)

$d = \sqrt{ {( - 3 - ( - 6))}^{2} + {( - 3 - ( - 3)}^{2} } \\ = \sqrt{ {(3)}^{2} + 0 } = \sqrt{9} = 3$

E) (-3,4) y (4,1)

$d= \sqrt{ {(4 - ( - 3))}^{2} + {(1 - 4)}^{2} } \\ = \sqrt{ {(7)}^{2} + {( - 3)}^{2} } = \sqrt{49 + 9} = \sqrt{58}$