Question

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

Answer 1

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)`