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
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Answer:
It’s already in expanded form.
Step-by-step explanation:
The original number is 54,025.
Expanded form is when you kind of “take apart” a number. You basically break it apart.
Example: Write 24,382 in expanded form.
Correct way: 20,000 + 4,000 + 300 + 80 + 2
Incorrect way: 2 + 4 + 3 + 8 + 2 (that would equal 19, which is way off from 24,382).
I hope this helps, let me know if you have any questions!
2(m - 5) + 6PEMDASu multiply 2 into (m-5)2*m and 2*-5that would be 2m-10 + 6now subtract common variables-10 + 6 = -42m - 4