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maria [59]
2 years ago
6

Complete the table of ordered pairs for the linear y=2x-8

Mathematics
1 answer:
ExtremeBDS [4]2 years ago
8 0

Given:

Consider the below figure attached with this question.

The linear equation is:

y=2x-8

To find:

The values to complete the table of ordered pairs for the given linear equation.

Solution:

We have,

y=2x-8

Substituting x=0 in the given equation, we get

y=2(0)-8

y=0-8

y=-8

So, the value for first blank is -8.

Substituting y=-2 in the given equation, we get

-2=2x-8

-2+8=2x

\dfrac{6}{2}=x

3=x

So, the value for second blank is 3.

Substituting x=2 in the given equation, we get

y=2(2)-8

y=4-8

y=-4

So, the value for third blank is -4.

Therefore, the required complete table is:

     x           y

     0         -8

    3         -2

     2          -4

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Answer:

a

Step-by-step explanation:

The volume (V) of a cone is calculated as

V = πr²h ( r is the base radius and h the perpendicular height )

To calculate the height h use the right triangle formed by the radius and the inclined side.

Given diameter = 22, then r = 22 ÷ 2 = 11 cm

Using Pythagoras' identity on the right triangle, then

h² + 11² = 61² , that is

h² + 121 = 3721 ( subtract 121 from both sides )

h² = 3600 ( take the square root of both sides )

h = \sqrt{3600} = 60

Thus

V = π × 11² × 60

   = 3.14 × 121 × 60 ≈ 22796.4 cm³ → a

7 0
3 years ago
Find the equation of the line passing through the point (–1, 0) and parallel to the line y = –1∕2x + 3∕7
PilotLPTM [1.2K]

Answer:

y = -1/2x - 1/2

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

y = -1/2x + 3/7

Point (-1, 0)

Step 2: Find parallel line

<em>Parallel lines have the same slope as the original but different y-intercepts.</em>

<em>m</em> = -1/2

y = -1/2x + b

0 = -1/2(-1) + b

0 = 1/2 + b

b = -1/2

Step 3: Write parallel line

y = -1/2x - 1/2

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3 years ago
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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The length of a rectangle board is 10 centimeters longer than its width. The width of the board is 26 centimeters. The board is
Troyanec [42]

Answer:

Area of each piece = 104 cm^{2}

Possible dimensions are 26 cm by 4 cm, 13 cm by 8 cm.

Step-by-step explanation:

Given that:

Dimensions of the rectangular board as:

Length of the board is 10 cm longer than its width.

Width of the board = 26 cm

Length of the board = 26 + 10 = 36 cm

The rectangular board is divided into 9 equal pieces.

To find:

Area of each piece and

the possible dimensions of each piece = ?

Solution:

First of all, let us calculate the area of bigger rectangular board.

Area of a rectangle is given by the following formula:

Area = Length \times Width

Area = 26 \times 36 cm^2

Area of each smaller rectangle = \frac{26\times 36}{9} = 104\ cm^2

To find the possible dimensions, we need to find the factors of 104.

104 = 26 \times 4

104 = 13 \times  8

Therefore, the Possible dimensions are 26 cm by 4 cm

and

13 cm by 8 cm.

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