Question

дам много балов пожалуйста помогите.​

Answer 1

Объяснение:

№1.

$a)\ A_1(1;2)\ \ \ \ A_2(-1;1)\\|A_1A_2|=\sqrt{(1-(-1))^2+(2-1)^2}=\sqrt{2^2+1^2} =\sqrt{4+1} =\sqrt{5}. \\b)\ B_1(3;4)\ \ \ \ B_2(3;-1)\\|B_1B_2|=\sqrt{(3-3)^2+(4-(-1)^2}=\sqrt{0^2+5^2} =\sqrt{25} =5.$

№2.

$M(1;-2)\ \ \ \ N(-2;3)\ \ \ \ K(3;1) \ \ \ \ \ P=?\\|MN|=\sqrt{(1-(-2))^2+(-2-3)^2}= \sqrt{3^2+(-5)^2}=\sqrt{9+25}=\sqrt{34}.\\ |NK|=\sqrt{(-2-3)^2+(3-1)^2}=\sqrt{(-5)^2+2^2}=\sqrt{25+4} =\sqrt{29} .\\ |MK|=\sqrt{(1-3)^2+(-2-1)^2}=\sqrt{(-2)^2+(-3)^2}=\sqrt{4+9}=\sqrt{13}. \\P_{MNK}=|MN|+|NK|+|MK|=\sqrt{34}+\sqrt{29}+\sqrt{13} \approx14,8.$