Answer:
The new coordinate of the image will be (4, 0) when the point (-4,0) is rotated 180 degrees counterclockwise using center (0,0).
i.e. [(-4,0)→(4,0)]
Step-by-step explanation:
The rule for rotation a point 180° counterclockwise about the origin states that when a point (x, y) is rotated 180° counterclockwise about the origin, the new position of the coordinates of point P(x, y) becomes (-x, -y).
Hence,
- Rotate (x, y) counterclockwise 180° about the origin: [(x,y)→(-x,-y)]
So, when the given point (-4,0) is rotated 180 degrees counterclockwise using center (0,0), the new coordinates of the image will be:
- Rotate (-4, 0) counterclockwise 180° about the origin: [(-4,0)→(4,0)]
Therefore, the new coordinate of the image will be (4, 0) when the point (-4,0) is rotated 180 degrees counterclockwise using center (0,0).
i.e. [(-4,0)→(4,0)]
Keywords: rotation, origin, image
Learn more rotation from brainly.com/question/12200192
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<u>Answer: </u>
<em>If set A = (3, 4, 7, 9) and if set D = (9, 4, 3, 7) , then </em><em>set A = set D</em><em> is </em><em>true</em><em>.</em>
<u>Solution: </u>
Two sets are said to be equal, if the elements in both the sets are exactly same.
From question, the given sets are
Set A = (3, 4, 7, 9)
Set D = (9, 4, 3, 7)
Set A and Set D contain same elements. In sets and relations, we need not worry about the elements positions. For the given set A the elements are {3,4,7,9} and for set D the elements are {9,4,3,7}. The elements are same each other irrespective of their positions. Hence, the given condition set A= set D is True.
perpendicular line
Step-by-step explanation:
Using translation concepts, the note E would be louder with a higher amplitude of y, hence constant a has to be multiplied by a positive constant greater than 1.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
In this problem, the function is given by:
y = asin(1320πx)
The intensity of a sound is given by it's amplitude a, hence, to make the sound stronger, we need to vertically stretch the graph of y, which is done when constant a is multiplied by a positive constant greater than 1.
More can be learned about translation concepts at brainly.com/question/28416763
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