40;41;42;43;44

40

4x+3y-6 = 0 և 2x+y-4 = 0

{4x+3y-6 = 0

{2x+y-4 = 0

{4x+12-6x-6 = 0

{y = 4-2x

{-2x+6 = 0

{y = 4-2x

{x = 3

{y = -2

(3;-2)

41

M(2;5)

y = 5

x = 2

42

A(-8;-6)

B(-3;-1)

x+8/5 = y+6/5

x+8 = y+6

y = x+8-6

y = x+2

y₀ = 7

M(5;7)

43

x+5 = y-0/2

2x+10 = 5y

x-5/-5 = y/2

2x-10 = -5y

x-5/-5 = y/-2

-2x+10 = -5y

x+5/5 = y/-2

-2x-5 = 5y

44

a) (1;-2) R = 5

b) (0;-7) R = 1

g) x²+8x = (x+8/2)²-(8/2)² = (x+4)²-4² = (x+4)²-16

y²-4y = (y-4/2)²-(4/2)² = (y-2)²-2² = (y-2)²-4

(x+4)²-16+(y-2)²-4+40 = 0

(x+4)²•(y-2)² = -20

Պատ՝ չի լինում։

d) (a-b)² = a²-2ab+b²

(x²+y²-2x+4y)-20 = 0

(x²-2x+1)-1+(y²+3•2•y+y)-y-20 = 0

(x-1)²-1+(y+2)²-24 = 0

(x-1)²+(y+2)² = 25

(1;-2) R = 5