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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(16^3 + 16x^2 + 19x + 12) / (4x + 3). Start by factoring the numerator.
(4x + 3) (4x^2 + x + 4) / (4x + 3). Since (4x + 3) is a term in both the numerator and the denominator, we can cancel them out.
You're left with: 4x^2 + x + 4.
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g(x) = h(x - 7) + 5
The plus 5 on the outside of the brackets represents the graph moving up by 5 units
The minus 7 on the inside of the brackets represents the graph moving right by 7 units.
Note: When it is on the inside of the brackets, you would do the opposite of what it suggests.
Normally, minus 7 would mean the graph shifts to the left, however, it means the opposite in this case.
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Calculating the unit rate for Tree 2 we have the following
When simplified the unit rate is
This is 2.5 inches per week. Compared to Tree 1,
