If h + 12 = 22, then h = 10.
This uses the subtraction property of equality, because if 12 is subtracted from both sides, we get the result of h = 10.
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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Answer: there were 345 pieces of chocolate in the box.
Step-by-step explanation:
Let x represent the number of pieces of chocolate there in the box.
0.55 of a box of chocolate are dark chocolate. This means that the number of dark chocolate in the box is 0.55x
0.3 are milk chocolate. This means that the number of milk chocolate in the box is 0.3x
The rest are white chocolate. This means that the number of white chocolate in the box is x(1 - 0.55 - 0.3) = 0.15x
There are 138 pieces more dark chocolate than white chocolate. This means that
0.55x - 0.15x = 138
0.4x = 138
x = 138/0.4
x = 345
The slope form: y = mx + b
We have:
3x - 6y - 2 = 0 |add 6y to both sides
3x - 2 = 6y |divide both sides by 6
3x/6 - 2/6 = 6y/6
x/2 - 1/3 = y
y = 1/2 x - 1/3
