149․ AB/EF = CD/MN
AB = 5սմ
CD = 80մմ = 8սմ
MN = 1դմ = 10սմ
——————————————
EF — ?
5/x = 8/10
8 * x = 10 * 5
x = 50/8 = 25/4 = 6,25սմ
Պատ․՝ EF = 6,25սմ
150․ KP/OD = MN/AL
KP = 8դմ = 80սմ
MN = 40սմ
OD = 1մ = 100սմ
—————————————
AL — ?
80/100 = 40/x
80 — 100 = 40 * x
x = 50սմ
Պատ․՝ AL = 50սմ
108. ա) 3a — xb = ya + b
y = 3
x = -1
բ) 4a — xa + 5b + yb = 0
y = -5
x = 4
գ) xa + 3b — yb = 0
y = 3
x = 0
դ) a + b — 3ya + xb = 0
y = 1/3
x = -1
109.
82.
83. x = 1,5սմ
y = 3սմ
ա)
բ)
գ)
82.
83.
x→ = 2,5սմ
y→ = 2սմ
ա)
բ)
գ)
ա) A (2 ; 7)
B (-2 ; 7)
AB = √(2+2)2 + 02=4
բ) A (-5 ; 1)
B (-5 ; -7)
AB = √02 + 82 = 8
M (4 ; 0)
N (12 ; -2)
P (5 ; -9)
AB = √(4 — 12)2 + 22 = √68
BC = √(2 — 5)2 + (-2 + 9)2 = √98
CA = √(5 — 4)2 + (9 — 0)2 =√9
A ( 2 ; 3)
B (x ; 1)
AB = √(2 — x)2 + (3-7)2 = 2
√(2 — x)2 + 4 =2
5.
A (0;0)
B (5;0)
C (12; -3)
D (7; -3)
6.
| A | (2; -3) | (-10; -11) | (0; 1) | (0; 0) | (c; d) | (3; 5) | (3t + 5,7) | (1; 3) |
| B | (-3, 1) | (4; 7) | (6; -11) | (-3; 7) | (3; 8) | (t + 7, -7) | ||
| M | (-8; 5) | (-3; -2) | (3; 5) | (-6; 13) | (a; b) | (0, 0) |
1.
OA=5
OB=3
A (5,0)
B (0,3)
O (0,0)
2.
OB=3
A (6;5.0)
B (0,3)
O (0;0)
C (6,5 3)
3.
B=(-3,3)
D=(3;3)
F=(3; -3)
H=(-3;3)
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