101 yeo don't venture know
1.825 rounded to the nearest hundredth is 1.83 because the number after 2 is 5
1 kg = 1,000,000 mg
55,000 mg = 55,000/1,000,000 = 0.055 kg
0.055 kg < 2 kg
so 55,000 mg < 2 kg
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:
f(7) = 13.7
f(8) = 18.7
Recursive Function Is: f(1) = -16.3; (fn) = f(n - 1) + 5
Step-by-step explanation:
The recursive function of the arithmetic sequence is
f(1) = first term; f(n) = f(n-1) + d, where
- d is the common difference between each two consecutive terms
∵ f(5) = 3.7 and f(6) = 8.7
∵ d = f(6) - f(5)
∴ d = 8.7 - 3.7
∴ d = 5
∵ f(7) = f(6) + 5
∴ f(7) = 8.7 + 5
∴ f(7) = 13.7
∵ f(8) = f(7) + 5
∴ f(8) = 13.7 + 5
∴ f(8) = 18.7
→ To find f(1) subtract from each term the value of d
∵ f(5) = f(4) + d
∴ f(4) = f(5) - d
∴ f(4) = 3.7 - 5
∴ f(4) = -1.3
∵ f(3) = f(4) - 5
∴ f(3) = -1.3 - 5
∴ f(3) = -6.3
∵ f(2) = f(3) - 5
∴ f(2) = -6.3 - 5
∴ f(2) = -11.3
∵ f(1) = f(2) - 5
∴ f(1) = -11.3 - 5
∴ f(1) = -16.3
∴ Recursive Function Is: f(1) = -16.3; (fn) = f(n - 1) + 5