Ответ:

Объяснение:

K(0;5);  P(-2;6).

KP²=(xP-xK)² + (yP-yK)² = (-2-0)² + (6-5)² = 4+1=5;

PK=√5 ≈ 2.24.

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A(-2;6); B(3;-2).

AB² =(xB-xA)² + (yB-yA) = (3-(-2))² + (-2-6)² = 5²+(-8)² = 25+64=89;

AB=√89 ≈9.4.

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X(2/3;1/2); Y(1/3;3/4).

XY²=(xY-xX)² + (yY-yX)² = (1/3-2/3)² + (3/4-1/2)² = (-1/3)² + (1/4)² =

= 1/9+1/16 = 25/144;

XY=√(25/144) = 5/12.

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O(0;0);  B(5;5).

OB²=(xB-x0)²+(yB-y0)² =(5-0)² + (5-0)² = 5²+5² = 25+25=50;

OB=√50 = 5√2 =  7.07.