The absolute difference between the greatest and the least of these three numbers in the arithmetic sequence is 10.
The sequence is an arithmetic sequence. Therefore,
d = common difference
let
a = centre term
Therefore, the 3 consecutive term will be as follows
a - d, a, a + d
a - d + a + a + d = 27
3a = 27
a = 27 / 3
a = 9
Therefore,
(a-d)² + (a)² + (a + d)² = 293
(a²-2ad+d²) + 9² + (a² + 2ad + d²) = 293
(81 - 18d + d²) + 81 + (81 + 18d + d²) = 293
243 + 2d² = 293
2d² = 50
d² = 50 / 2
d = √25
d = 5
common difference = 5
Therefore, the 3 numbers are as follows
9 - 5 , 9, 9 + 5 = 4, 9, 14
The difference between the greatest and the least of these 3 numbers are as follows:
14 - 4 = 10
learn more on Arithmetic progression: brainly.com/question/25749583?referrer=searchResults
Answer:
It is ...
Step-by-step explanation:
Answer:
The slope of line h is -9/7
Step-by-step explanation:
mathematically, for two lines that are perpendicular to each other, the product of their slopes is equal to -1
say we have two lines l1 and l2, the product of their slopes m1 and m2 is -1
Mathematically;
m1 * m2 = -1
now, m1 here is 7/9 , we now proceed to calculate m2
7/9 * m2 = -1
7m2/9 = -1
7m2 = -9
m2 = -9/7
Hello there!
Alright so, 100% is equal to 1, because think about it as a fraction, 2/3 is 66%, because it's not full, and 2/3 is 66%, but it's also .66(etc). So, in order to get 100% you'd have to have a 3/3.
I'm going to use 4/4. so in order to go above 100% you'd have to add more.
8/4 is 200% because it divides to 2.00
So now just add 3 more because 3/4 is 75%
11/4 is 275%
Which also divides to 2.75
2.75 is your answer, hope this helped!
