(-5, 4), (8,-6) help me please.. I don't know anything about geometry

Question

asked Nov 27, 2022 211k views

1 Answer

Burnsi · Answer 1 · 2022-12-04T02:21:51+0000

Answer:

Distance= 16.4 units

Midpoint= (1½, -1)

Explanation:

$\boxed{distance \: between \: 2 \: points = \sqrt{ {(x1 - x2)}^(2) + {(y1 - y2)}^(2) } }$

Distance between (-5, 4) and (8, -6)

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

$= \sqrt{ {( - 13)}^(2) + (4 + 6) {}^(2) }$

$= \sqrt{169 + 10^(2) }$

= √(169 + 100)

= √(269)

= 16.4 units (3 s.f.)

$\boxed{midpoint = ( (x1 + x2)/(2) , (y1 + y2)/(2) )}$

Midpoint

= ( (8 - 5)/(2) , ( - 6 + 4)/(2) )

= ( (3)/(2) , ( - 2)/(2) )

= ( 1(1)/(2) , - 1)