Given A'B'C' and ABC.

Mathematics

2 answers:

Viefleur [7K]3 years ago

4 0

Because the transformation is a rotation of 180 ° about the origin, the resulting image is a reflection of the original image. Since the rotation is 180 degrees there is a movement of 2 quadrants for the coordinates of A, B,and C. There for this means that if point A's coordinate is in the quadrant of (x,y) then the coordinates point of A' would be in the quadrant where (-x,-y) coordinates are present.

Dovator [93]3 years ago

3 0

Since the transformation occurring is rotation at 180 degrees about the origin, then the resulting image would be a reflection of the original image. Additionally, since the rotation is 180 degrees, then there is a movement of 2 quadrants for the corners A, B and C.

<span>Therefore this would also mean that if point A is in coordinate (x, y) then point A’ would be in coordinate (-x, -y). Similar is true with point B and point C and their corresponding reflection corners point B’ and point C’. So for example if point A is located at (-5, 3) then point A’ must be at (5, -3).</span>

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4 Hours

Step-by-step explanation:

Let's say that the rate of the machines 1/x, because every time they complete an order, it takes them x hours. To find x, we have to add the the rates of the individual machines, which would equal the rate of the machines working together. We know that there are four machines working together at the same rate, and it took them 32 hours.

So:

1/x + 1/x + 1/x + 1/x = 1/32

1/4x = 1/32

4x = 32

x = 8

Thus, the rate of the machines is 1/8.

Now we have to find the time of the order with only half of the machines working together. This time, we don't know the combined rate, so I'll substitute it for y.

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Answer:

Step-by-step explanation:

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