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tatuchka [14]
3 years ago
10

Which of the following statements is​ correct? A. The relationship between two variables is linear whether it is represented by

a straight line or by a curved line. B. The relationship between two variables is nonlinear whether it is represented by a straight line or by a curved line. C. The relationship between two variables is linear when it is represented by a straight line and nonlinear when it is represented by a curved line. D. The relationship between two variables is linear when it is represented by a curved line and nonlinear when it is represented by a straight line.
Mathematics
1 answer:
LuckyWell [14K]3 years ago
6 0

Answer:

  C. The relationship between two variables is linear when it is represented by a straight line and nonlinear when it is represented by a curved line.

Step-by-step explanation:

The definition of "linear" is "related by a straight line". The definition of "non-linear" is "not related by a straight line." One simply needs to understand the definitions in order to choose the correct statement.

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Find the perimeter of the colored part of the figure. The figure is composed of small squares with side-length 1 unit and curves
harina [27]

Answer:

16.56 in

Step-by-step explanation:

4 sides of the squares are exposed

The radius of each semicircle is 1 since they are against 2 squares.

2pi*r=circumfrence

2pi*1=6.28

6.28/2=3.14 because it's a semicircle

3.14*4=12.56 because there are 4 equal semicircles

12.56+4=16.56

4 0
3 years ago
A^2 + b^2 + c^2 = 2(a − b − c) − 3. (1) Calculate the value of 2a − 3b + 4c.
Verdich [7]

Answer:

2a - 3b + 4c = 1

Step-by-step explanation:

Given

a^2 + b^2 + c^2 = 2(a - b - c) - 3

Required

Determine 2a - 3b + 4c

a^2 + b^2 + c^2 = 2(a - b - c) - 3

Open bracket

a^2 + b^2 + c^2 = 2a - 2b - 2c - 3

Equate the equation to 0

a^2 + b^2 + c^2 - 2a + 2b + 2c + 3 = 0

Express 3 as 1 + 1 + 1

a^2 + b^2 + c^2 - 2a + 2b + 2c + 1 + 1 + 1 = 0

Collect like terms

a^2 - 2a + 1 + b^2 + 2b + 1 + c^2  + 2c + 1 = 0

Group each terms

(a^2 - 2a + 1) + (b^2 + 2b + 1) + (c^2  + 2c + 1) = 0

Factorize (starting with the first bracket)

(a^2 - a -a + 1) + (b^2 + 2b + 1) + (c^2  + 2c + 1) = 0

(a(a - 1) -1(a - 1)) + (b^2 + 2b + 1) + (c^2  + 2c + 1) = 0

((a - 1) (a - 1)) + (b^2 + 2b + 1) + (c^2  + 2c + 1) = 0

((a - 1)^2) + (b^2 + 2b + 1) + (c^2  + 2c + 1) = 0

((a - 1)^2) + (b^2 + b+b + 1) + (c^2  + 2c + 1) = 0

((a - 1)^2) + (b(b + 1)+1(b + 1)) + (c^2  + 2c + 1) = 0

((a - 1)^2) + ((b + 1)(b + 1)) + (c^2  + 2c + 1) = 0

((a - 1)^2) + ((b + 1)^2) + (c^2  + 2c + 1) = 0

((a - 1)^2) + ((b + 1)^2) + (c^2  + c+c + 1) = 0

((a - 1)^2) + ((b + 1)^2) + (c(c  + 1)+1(c + 1)) = 0

((a - 1)^2) + ((b + 1)^2) + ((c  + 1)(c + 1)) = 0

((a - 1)^2) + ((b + 1)^2) + ((c  + 1)^2) = 0

Express 0 as 0 + 0 + 0

(a - 1)^2 + (b + 1)^2 + (c  + 1)^2 = 0 + 0+ 0

By comparison

(a - 1)^2 = 0

(b + 1)^2 = 0

(c  + 1)^2 = 0

Solving for (a - 1)^2 = 0

Take square root of both sides

a - 1 = 0

Add 1 to both sides

a - 1 + 1 = 0 + 1

a = 1

Solving for (b + 1)^2 = 0

Take square root of both sides

b + 1 = 0

Subtract 1 from both sides

b + 1 - 1 = 0 - 1

b = -1

Solving for (c  + 1)^2 = 0

Take square root of both sides

c + 1 = 0

Subtract 1 from both sides

c + 1 - 1 = 0 - 1

c = -1

Substitute the values of a, b and c in 2a - 3b + 4c

2a - 3b + 4c = 2(1) - 3(-1) + 4(-1)

2a - 3b + 4c = 2 +3  -4

2a - 3b + 4c = 1

7 0
3 years ago
Select all the expressions that are equivalent to 2•2•2•2•2•2​
aliina [53]

Answer:

2^6, 64

Step-by-step explanation: The simplified version is two to the fifth power and the answer is 64. Those are the two I know

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3 years ago
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Bas_tet [7]

Answer:

Step-by-step explanation:

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3 0
3 years ago
Evaluate (212)base3-(121)base3+(222)base3​
NemiM [27]

Answer:

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Step-by-step explanation:

3 0
3 years ago
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