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DIA [1.3K]
2 years ago
7

Drag each graph to show which transformation was applied to the original figure.

Mathematics
1 answer:
Dennis_Churaev [7]2 years ago
6 0

<em>Transformation</em> is a <u>process</u> in which the <em>dimensions</em> or <em>orientation</em> of a given plane shape is changed. The required answers are:

Graph 1: <u>Reflection</u>

Graph 2: <em>Translation</em>

Graph 3: Rotation

Graph 4: <em>Rotation</em>

Graph 5: <u>Translation</u>

Graph 6: Reflection

<u>Transformation</u> is the process in which the <em>dimensions</em> or <u>orientation</u> is a given shape is changed. The major types are <em>reflection</em>,<em> dilation</em>, <u>translation</u>, and rotation.

  • <u>Reflection</u> is a transformation method in which a given shape is <em>flipped</em> over a given <u>reference</u> point or line.
  • <u>Dilation</u> is a transformation method that involves either <em>increasing </em>or<em> decreasing</em> the length of <u>sides</u> of a given shape.
  • <u>Translation</u> is a transformation method that requires the <em>movement </em>of all points of a shape with respect to a given reference point or line.
  • <u>Rotation</u> is a transformation method that involves the <em>rotation</em> of a given shape at a certain degree <u>clockwise</u> or <u>counterclockwise</u>.

Thus the <u>transformation</u> process that was applied to the original figure for each graph is:

Graph 1: <u>Reflection</u> along the y-axis

Graph 2: <em>Translation</em> at 4 units in the -x direction

Graph 3: 90^{o}  clockwise Rotation

Graph 4: 180^{o}  clockwise Rotation

Graph 5: <em>Translation </em>

Graph 6: <u>Reflection</u> along the x-axis

For more information on the transformation of plane shapes, visit: brainly.com/question/5505012

#SPJ1

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yan [13]

Answer:

The answer is 12a^3+2a²+23a+18 ....

Step-by-step explanation:

The given terms are:

(3a + 2)(4a² - 2a + 9)

Now multiply each value of second bracket with the first bracket:

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Marizza181 [45]

The volume of a cone with a diameter of 30 feet and a height of 60 feet is 14130.

<h3>What is the volume of a cone?</h3>

The volume of the cone is given by;

\rm Volume  \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\Where;\  r = radius \ and \ h = height

The volume of a cone with a diameter of 30 feet and a height of 60 feet.

The radius of the cone is;

\rm Radius =\dfrac{Diameter}{2}\\\\Radius=\dfrac{30}{2}\\\\Radius=15

Substitute all the values in the formula

\rm Volume  \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\ Volume  \ of \ cone=\dfrac{1}{3}\times 3.14 \times 15^2 \times 60\\\\Volume  \ of \ cone=14130

Hence, the volume of a cone with a diameter of 30 feet and height of 60 feet is 14130.

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