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3 years ago

Compare the table and equation. x y 1 3 2 6 3 9 Equation: y = 4x Which representation has the greatest slope?

Mathematics

1 answer:

aniked [119]3 years ago

6 0

Answer:

a) The equation has the greatest slope.

Step-by-step explanation:

The table has the values as shown below;

x y

1 3

2 6

3 9

The gradient of the line can be found as;

m=Δy/Δx

m= 9-3 /3-1

m= 6/2

m₁= 3

The equation of the other line is : y=4x

The gradient is , m₂ = 4

The presentation with the greatest slope is the equation that has a slope of 4.

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3241004551 [841]

Answer:

Step-by-step explanation:

At the point where two line cut across, the vertically opposite angles formed are equal. This means that

2x degrees = 78 degrees

Dividing the left hand side and the right hand side of the equation by 2, it becomes

2x/2 = 78/2

x = 39

Checking,

The sum of the angles on a straight line is 180 degrees.

180 - 78 = 102 degrees

2x + 102 = 180

2x = 180 - 102 = 78

x = 78/2 = 39

8 0

3 years ago

Read 2 more answers

Complete the sentences below:

pogonyaev

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3 0

3 years ago

Express the volume of the box as a<br>polynomial in the variable x

Whitepunk [10]

The volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)

<h3>How to determine the volume?</h3>

The complete question is added as an attachment

From the attached image, we have:

Length = 12 - 2x

Width = 7 - 2x

Height = x

The volume is calculated as:

Volume = Length * Width * Height

Substitute the known values in the above equation

Volume = (12 - 2x) * (7 - 2x) * x

This gives

Volume = x(12 - 2x)(7 - 2x)

Hence, the volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)