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topjm [15]
3 years ago
15

Does the equation y= 4x +3 show a proportional relationship between x and​ y

Mathematics
1 answer:
maxonik [38]3 years ago
5 0

<u>Answer</u>

yes it does.


<u>Explanation</u>

The equation of a straight line is in the form of Y = mX + c, where m is a constant (the gradient) and c is the y-intercept.

The equation above, y= 4x +3 is the equation of a straight line.

y ∝ x

Introducing the constant of proportionality now become y = 4x. When like this the a line is a straight line from the origin but when we add 3 in the equation we have. Y = 4X + 3.

The equation remains proportional. This time the line passes through the point (0,3).

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A rectangular prism is completely packed with 90 cubes of edge length fraction 1 over 2 inch, without any gap or overlap. Which
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Check the picture below.

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3 0
3 years ago
(PLEASE HURRY I NEED IT TODAY)
slega [8]

Answer:

1) Reflection in the x-axis

A' = (-2, -3)

2) Rotation of 180° clockwise about the origin

A'' = (2, 3)

3) Translation of 3 units down and 4 units to the right

A''' = (6, 0)

Step-by-step explanation:

The transformations are as follows;

1) Reflection in the x-axis

Here the x-coordinate is the same and the y-coordinate changes sign.

Therefore, we have;

A (-2, 3)

After reflection in the x-axis becomes A' = (-2, -3)

2) Rotation of 180° clockwise about the origin

When, a point (x, y) is rotated 180° clockwise about the origin, it becomes (-x, -y)

Therefore, we have;

A' = (-2, -3) becomes A'' = (2, 3)

3) Translation of 3 units down and 4 units to the right

Translation of 3 units down and 4 units to the right = T_{(4, -3)

Which gives

A''' = (2 + 4, 3 - 3) = (6, 0).

6 0
3 years ago
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