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Reika [66]
3 years ago
9

Tell whether each equation represents a direct variation. if so, identify the constant of variation.

Mathematics
1 answer:
Ivenika [448]3 years ago
7 0

Answer:

1. Not a direct variation

2. Direct variation (constant= -4)

3. Direct variation  (constant= -1)

Step-by-step explanation:

A direct variation is a function of the type

y = k*x, where k can be any real number

First case

1. y=4x+9  

The term 9 interferes with the expression (it creates an offset for the value)

2. 2y=-8x  

It is a direct variation, y = -4x

3. x+y=0

It is a direct variation, y = -x

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Step-by-step explanation:

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Step-by-step explanation:

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A rectangular roof shingle has a perimeter of 32 inches and an area of 60 square inches. What are the dimensions of the shingle?
Lady bird [3.3K]

Answer:

Length = 6 inches, Width = 10 inches

Step-by-step explanation:

A rectangular roof shingle has a perimeter of 32 inches and an area of 60 square inches. What are the dimensions of the shingle?

Note :

L = Length

W = Width

The perimeter of a rectangle = 2( L + W)

The area of a rectangle = LW.

A rectangular roof shingle has a perimeter of 32 inches and an area of 60 square inches.

32 = 2( L + W)

Divide both sides by 2

16 = L + W.... Equation 1

L = 16 - W

Also:

LW = 60....... Equation 2

Let us substitute 16 - W for L in Equation 2

(16 - W)W = 60

16W - W² = 60

W² - 16W + 60 = 0

W² - 6W - 10W + 60 = 0

W(W - 6) - 10(W - 6) = 0

W - 6 = 0, W = 6 inches

W - 10 = 0, W = 10 inches

Solving for L

W = 10

L = 16 - 10

L = 6 inches

Therefore, the dimensions of the shingle =

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3 0
3 years ago
What are the values of x in the equation x2 – 6x + 9 = 25? x = –2 or x = 8 x = –1 or x = –11 x = 1 or x = 11 x = 2 or x = –8
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Answer:

x = 8 or x = -2

Step-by-step explanation:

x^2 - 6x + 9 = 25

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b = -6

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substitute in the formula

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x = [6 +/- 10]/2

x1 = [6 + 10]/2 = 16/2 = 8

x2 = [6 - 10]/2 = -4/2 = -2

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3 years ago
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What is the volume of a frustum of a right pyramid with the area of the lower base square to 100 square inches, the area of the
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1

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