Question

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

Answer 1

Answer:

Distance= 16.4 units

Midpoint= (1½, -1)

Step-by-step explanation:

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

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

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

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

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

$= \sqrt{169 + 100}$

$= \sqrt{269}$

= 16.4 units (3 s.f.)

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

Midpoint

$= ( \frac{8 - 5}{2} , \frac{ - 6 + 4}{2} )$

$= ( \frac{3}{2} , \frac{ - 2}{2} )$

$= ( 1\frac{1}{2} , - 1)$