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Lemur [1.5K]
3 years ago
7

What is the reason for each step in the solution of the equation?

Mathematics
1 answer:
Over [174]3 years ago
7 0

Answer:

See below

Step-by-step explanation:

The given equation is

- 6x =  - 2(x + 12)

Given

- 6x =  - 2x -24

Distributive Property

- 4x =  - 24

Addition property of equality;

x = 6

Division property of equality.

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Answer:

180

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40

Step-by-step explanation:

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Bisect means to split into to equal parts

So if you bisect an 80 degree angles you will have two 40 degree angles. ( Because 80/2 = 40 )

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5 0
3 years ago
The vectors x and y are unit vectors that make and angle of 30 degrees with each other. Calculate the value of | 2x + y | and th
ICE Princess25 [194]

Answer: the value of | 2x + y | = 1.39

the direction of 2x + y = 21° 

Step-by-step explanation:

Given that the vectors x and y are unit vectors that make and angle of 30 degrees with each other.

Let assume that unit vector x is along the positive x-axis, and unit vector y is at +30°.

Therefore 

2x-y=

2< 1,0 > - < cos(30),sin(30) >

=<2-(√2)/2, 0-1/2>

and

|2x-y|=√((2-(√2)/2)² + (-1/2)^2)

=1.3862 

Therefore the value of | 2x + y | = 1.39

=atan((-1/2)÷(2-(√2)/2))

=atan(1.29289/-0.5)

=-0.369 radians

= -21.143° 

Therefore the direction of 2x + y is

21° 

5 0
3 years ago
a triangular flower bed needs a thin metal border all the way around it. The sides are 7 feet, 6 feet, and 9 feet long.
kotegsom [21]
Excuse my awful triangle drawing skills, haha..
So essentially you need to find the perimeter which is done by adding the lengths of the sides.. this gives you 22ft.
Then for part b you need to convert 22ft to yards which gives you 7.3 yards.
Since you can only buy a whole number of yards, you'll actually need 8 yards.
So if the boarder is $8.75 per yard, and you need 8 yards, how much would it cost?
Hope this was helpful.

7 0
3 years ago
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