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Svetllana [295]
3 years ago
9

Are associative properties true for all integers

Mathematics
1 answer:
faust18 [17]3 years ago
6 0
The answer is "yes" for all integers.

This property is mainly used to either simplify the expressions or to group alike terms together. It is applicable only for operations of addition and multiplication.

Examples:
57x + 94 xy = x (57+94y)
2ab - 6abc = 2ab (1-3c)


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Determine the x-intercept and y-intercept of the following linear equations
Blizzard [7]

Answer:

Step-by-step explanation:

the x intercept takes coordinate (x,0)

the y intercept takes coordinate (0,y)

                                         x intercept                        y intercept

40: x+y=5                          (5,0)                                      (0,5)

x=0 , y=5, when y=0 x=5

41: x-y=5                            (5,0)                                      (0,-5)

x=0, -y=5 then y=-5, when y=0, x=5

42: 3x+4y=12                     (4,0)                                      (0,3)

x=0, 4y=12⇒y=12/4⇒y=3

y=0, 3x=12⇒x=12/3⇒x=4

43: 2x+3y=6                      (3,0)                                       (0,2)

x=0 , 3y=6⇒y=6/3=2

y=0 ,3y=6 ⇒ y=6/3 ⇒y=2

44: 3x+4y=-24                   (-8,0)                                      (0,-6)

x=0 , 4y=-24⇒y=-24/4 ⇒ y=-6

y=0 , 3x=-24⇒ x=-24/3⇒x=-8

45: 1/3x+2/3y=5/6            (5/2,0)                                    (0,5/4)

x=0 , 2/3 y=5/6 ⇒12y=15 ⇒ y=15/12 ⇒y=5/4

y=0 , 1/3 x=5/6 ⇒6x=15 ⇒x=15/6 ⇒x=5/2

46: x=-2                             (-2,0)                                   no y intercept

it is vertical line , there is no y intercept

47: y=15                    no x intercept                               (0,15)

horixzontal line, no x intercept

48: 3x-7y=8              (8/3,0)                                             (0,-8/7)

x=0 , -7y=8 ⇒y=-8/7

y=0 , 3x=8 ⇒x=8/3

7 0
4 years ago
Which congruence theorem can be used to prove △BDA ≅ △BDC? Triangles B D A and B D C share side B D. Sides B C and B A are congr
Mumz [18]

Answer:

SSS or D on edge

Step-by-step explanation:

just took the test

7 0
3 years ago
Read 2 more answers
The formula for the area of the triangle is A = 1/2bh.
Natalka [10]
The answer would be 100m^2=1/2(22)(10)
8 0
3 years ago
Solve the equations below. With explanations please.
Sophie [7]

Answer:

Step-by-step explanation:

y=-2x-4

y=5x+5

------------

-2x-4=5x+5

-2x-5x-4=5

-7x-4=5

-7x=5+4

-7x=9

x=9/-7

x=-9/7

y=5(-9/7)+5

y=-45/7+35/7

y=-10/7

Answer: x=-9/7, y=-10/7. (-9/7, -10/7).

----------------------------------------------------

-3x+y=8

2y=6x-10

----------------

6x-2y=10

-3x+y=8

-------------

y=8-(-3x)=8+3x

6x-2(8+3x)=10

6x-16-6x=10

-16=10

no solution

Answer: No Solution

--------------------------------

2y=4(x+3)

y-2x=6

--------------

y=4x+12

y=2x+6

--------------

4x+12=2x+6

4x-2x+12=6

2x+12=6

2x=6-12

2x=-6

x=-6/2

x=-3

y=2(-3)+6=-6+6=0

Answer: x=-3, y=0. (-3, 0).

-------------------------------------

x+2y=4

4x-2y=16

---------------

5x=20

x=20/5

x=4

4+2y=4

2y=4-4

2y=0

y=0/2

y=0

Answer: x=4, y=0. (4, 0).

4 0
3 years ago
O TRIGONOMETRIC FUNCTIONS
grandymaker [24]

Answer:

r = 22.9 in.

Step-by-step explanation:

Central angle in radians, ∅ = π/4

Length of arc, S = 18 in.

radius (r) = ?

Length of arc, C = r∅

Plug in the values and find r

18 = r*π/4

18 = (πr)/4

Multiply both sides by 4

4*18 = πr

72 = πr

Divide both sides by π

72/π = r

r = 22.9183118

r = 22.9 in. (Nearest tenth)

5 0
3 years ago
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