GuiaCETis12

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𝑃 = 1 + (𝑛 − 1) (2) 𝑃
(𝑛, 𝑃)

𝑛
𝑛
𝑛
𝑛
𝑛

=
=
=
=
=

1
2
3
4
5

3
35

3
35

3
1050
X 350 mililitros =
= 30 mililitros de alcohol
35
35

1
4
1
3

624
7
24
8
24
10
24

5 1
6


7 7
7

1
6

5
4
5
4

1
6

15  2
12
15  2
12

17
12

13
12

5 1 4
 
7 7
7

1−

7
12 − 7
5
=
=
12
12
12

12 7
5
−
=
12 12 12

5

2

10

( ) = 24

12 2

3/2

3
8

1 38
24
( )( )( ) =
2 8 1
16

24 12 6 3
=
= =
16
8
4 2

2500ml
2500 ml 500
1
=
=
= 71.429 ml
35
35
7
1

𝑟 = 3/2
(3 + 2 = 5)

80/5 = 16

3m
3m
5m
(𝐴 = 𝑙𝑎)
𝐴

𝑙

𝐴
𝐴

𝐵

𝐴

Mosaico tipo 𝐴

Mosaicos tipo𝐵

𝐴
𝐴

𝐵

𝐴
𝐴
𝐴
𝐴

𝐵
𝐵
𝐵
𝐵
𝐴
5𝐴 + 1 = 𝐵
𝐴

𝐵 = 5(64) + 1;

𝐵 = 320 + 1;

𝐵 = 321

𝒎
𝒎
𝒎𝒙

𝒙
𝒃

𝒎
𝒚 = 𝒎𝒙 + 𝒃

𝑚 = 3000

𝑏 = 4 000 − 3 000 = 1 000

𝑦 = 3 000𝑥 + 1 000

𝒚
𝒙
𝒎
𝒃

𝑦 = 3000(1) + 1000 𝑦 =3000 + 1000 𝑦 = 4000
𝑦 = 3000(2) + 1000 𝑦 = 6000 + 1000 𝑦 = 7000
𝑦 = 3000(3) + 1000 𝑦 = 9000 + 1000 𝑦 = 10,000

26,

𝒅

56,

86,

116, ….

2
3

2
3
1
(𝑥
2

2

1 1

1

− 3 𝑥) = 2 (3 𝑥) = 6 𝑥
2
𝑥
32(2𝑥)+ 1𝑥
6

+

1
𝑥
6

= 20 litros

𝑥 4𝑥 + 𝑥 = 6(20)
5𝑥 = 120

𝑥=

120
5

𝑥 = 24 𝑙𝑖𝑡𝑟𝑜𝑠

𝑥

𝐴1 𝑥 + 𝐵1 𝑦 = 𝐶1
𝐴2 𝑥 + 𝐵2 𝑦 = 𝐶2



𝑥
𝑦


𝑥
𝑦
3𝑥 + 𝑦 = 36
𝑥 + 4𝑦 = 56







(−3)
(−3)(𝑥 + 4𝑦) =(56)(−3)
−3𝑥 − 12𝑦 = −168

−3𝑥 − 12𝑦 = −168
3𝑥 + 𝑦 =
36
−11𝑦 = −132

𝑦=

132
11

𝒚 = 𝟏𝟐

36 − 𝑦
36 − 11
24
𝑥=(
)=(
)=
=8
3
3
3
𝑥

𝑦

𝑥

90

90
𝑥
𝑥 2 = 902 + 902
𝑥 = √8100 + 8100
𝑥 = √16200
𝑥 = 127.27 pies

𝑥= 127.27 pies

𝐴=

(𝑃 𝑎)
2

𝑃 = 5𝑙 = (5)(6) = 30 cm
𝐴=

(30)(4)
= 60 cm2
2



√10

√10

𝑐

𝑎

𝑐

𝑏

𝑐
𝑐 2 = 𝑎2 + 𝑏 2

𝑎

𝑏

𝑎

𝑎2 = 𝑏 2 + 𝑐 2

𝑐 = √𝑎 2 + 𝑏 2
𝑎 = √𝑐 2 − 𝑏 2
𝑏 = √𝑐 2 − 𝑎2

𝑐

1
3𝑐 = √1 + 9
𝑐 = √10

√10

4 cm
8 cm

𝑥 𝑥+8
=
2
4

X cm

16
2

𝜋 ∙(4)2 ∙(16)
𝜋 ∙(2)2 ∙(8)
−
3
3

1000
234.572

𝑉

1
3

𝜋ℎ(𝑟 2 + 𝑟 ′ 2 + 𝑟𝑟 ′ )

𝑟′

8

5
15 años
14 años
12

13 años

12 años
15

30°45°
72°
288°

40
5

=

360
𝑥

𝐷𝑚 =

𝑥=

(360)(5)
40

=

1800
40

= 45

|11−12|+|11−11|+|11−11|+|11−10|+|11−11|
5

2

= 5 = 0.4

𝐶𝐵𝐸

𝐴𝐵𝐷
𝐵𝐴𝐶

𝐵𝐴𝐶
𝐵𝐴𝐶
𝐵𝐴𝐶
𝐵𝐴𝐶

=
=
=
=

30° 𝑦 𝐴𝐶𝐵
60° 𝑦 𝐴𝐶𝐵...