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The closest distance between point A and point A' is 8.5 ⇒ B
Step-by-step explanation:
Let us revise the translation of a point
- If the point (x , y) translated horizontally to the right by h units then its image is (x + h , y)
- If the point (x , y) translated horizontally to the left by h units then its image is (x - h , y)
- If the point (x , y) translated vertically up by k units then its image is (x , y + k)
- If the point (x , y) translated vertically down by k units then its image is (x , y - k)
∵ Point A is located at (-5 , 2)
∵ Point A is translated 8 units to the right and 3 units up
- That means add x-coordinate by 8 and add y-coordinate by 3
∴ Point A' located at (-5 + 8 , 2 + 3)
∴ Point A' located at (3 , 5)
The distance between two points and
is
∵ Point a = (-5 , 2) and point A' = (3 , 5)
∴ = -5 and
= 3
∴ = 2 and
= 5
- Substitute these values in the rule of the distance
∵
∴
∴
∴
∴ d = 8.544 ≅ 8.5
The closest distance between point A and point A' is 8.5
Learn more:
You can learn more about the distance between two points in brainly.com/question/6564657
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Answer:
Original data: 21 29 32 38 38 45 50 64 72 100
Mode =38.
Change 1: 2 29 32 38 38 45 50 64 72 100
Mode =38.
Change 2: 29 32 38 38 45 50 64 72 100
Mode =38.
Step-by-step explanation:
Original data: 21 29 32 38 38 45 50 64 72 100
The mean is calculated with the following formula:
And if we replace we got:
The mode is the most repeated value in the sample and on this case is Mode =38.
Since we have an even number of points the median is calculated as the average between the observations 5 and 6 from the dataset ordered.
Change 1: 2 29 32 38 38 45 50 64 72 100
The mean is calculated with the following formula:
And if we replace we got:
The mode is the most repeated value in the sample and on this case is Mode =38.
Since we have an even number of points the median is calculated as the average between the observations 5 and 6 from the dataset ordered.
Change 2: 29 32 38 38 45 50 64 72 100
Now the sample size is 9 instead of 10
The mean is calculated with the following formula:
And if we replace we got:
The mode is the most repeated value in the sample and on this case is Mode =38.
Since we have odd number of points the median is calculated from the 5 position of the dataset ordered.