Question

Acest exercițiu. Vă mulțumesc pentru ajutor!​

Answer 1

12+23+25-5=
1,2+2,3+2,-5

Answer 2

Explicație pas cu pas:

fie M mijlocul segmentului AC

$x_{M} = \frac{x_{A} + x_{B}}{2} = \frac{1 + 2}{2} = \frac{3}{2} \\  y_{M} = \frac{y_{A} + y_{B}}{2} = \frac{2 + ( - 5)}{?} = - \frac{3}{2} \\ M \Big( \frac{3}{2} ; - \frac{3}{2} \ \Big)$

ecuația dreptei BM:

$\frac{y - y_{B}}{y_{M} - y_{B}} = \frac{x - x_{B}}{x_{M} - x_{B}} \\ \frac{y - 3}{ - \frac{3}{2} - 3} = \frac{x - 2}{ \frac{3}{2} - 2} \\ \frac{2(y - 3)}{ - 9} = \frac{2(x - 2)}{ - 1} \\ y - 3 = 9(x - 2) \\ \bf y = 9x - 15$

$BM = \sqrt{(x_{B} - x_{M})^{2} + (y_{B} - y_{M})^{2} } \\ = \sqrt{ {(2 - \frac{3}{2} )}^{2} + {(3 + \frac{3}{2} )}^{2}} = \sqrt{ \frac{1}{4} + \frac{81}{4} } \\ = \sqrt{ \frac{82}{4} } = \frac{ \sqrt{82} }{2} \ u.m.$