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
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There is no work add a picture
Answer:
x = 17 / sqrt (2)
Step-by-step explanation:
first we have to notice that we have a right triangle, this means we can apply Pythagoras
h^2 = c1^2 + c2^2
then we just have to put the values we have and solve the equation
17^2 = x^2 + x^2
289 = 2(x^2)
289/2 = x^2
√289/2 = x
√289 / √2 = x
17 / √2
17 / sqrt (2)
