Question

1,2 помогите. 20 баллов

Answer 1

1)
раз М - середина АВ

$x_M= \frac{1}{2} (x_A+x_B) \\ y_M= \frac{1}{2} (y_A+y_B) \\ x_M = 2 \\y_M =1 \\ x_B =5 \\ y_B = 0\\ (x_A) = 2x_M - x_B = \\ = 2 \times 2 - 5 = - 1\\ (y_A) = 2y_M - y_B = \\ = 2 \times 1 - 0 = 2$
Ответ :
A(-1; 2)

2)

$x_E=-2 \\ y_E=3 \\ x_F=1 \\ y_F=2 \\ \\ x_{EF}= x_F - x_E = \\ = 1 - ( - 2) = 3\\ y_{EF}=y_F - y_E = \\ = 2 - 3 = - 1$

$|EF| = \sqrt{ {x_{EF}}^{2} + y_{EF}^{2} } = \\ = \sqrt{ {3}^{2} + {( - 1)}^{2} } = \sqrt{10}$