Solve the system using substitution m=4n+11 -6n+8m=36
2 answers:
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Answer: |3-(-8)|
Step-by-step explanation:
Given: Paige lives 3 miles east of her school. Diego lives 8 miles west of the school.
From the picture , the number line represents the position of the houses of the two friends such that position of Paige is 3 but position of Diego is (-8) [since east and west are opposite directions]
We know that, Distance between any two points from A to B= B-A
Since distance is a positive quantity, thus
The distance between them = miles=11 miles
Answer:
(a) -7 , - 9 , - 11
(b) Arithmetic sequence
(c) There is a common difference of -2
(d) -53
Step-by-step explanation:
(a) To find the next three terms , we must firs check if it is arithmetic sequence or a geometric sequence . For it to be an arithmetic sequence , there must be a common difference :
check :
-3 - (-1) = -5 - (-3) = -7 - (-5) = -2
This means that there is a common difference of -2 , which means it is an arithmetic sequence.
The next 3 terms we are to find are: 5th term , 6th term and 7th term.
= a + 4d
= - 1 + 4 ( -2 )
= -1 - 8
= - 9
6th term = a +5d
= -1 + 5(-2)
= -1 - 10
= - 11
= a + 6d
= -1 + 6 (-2)
= -1 - 12
= -13
Therefore : the next 3 terms are : -9 , -11 , - 13
(b) it is an arithmetic sequence because there is a common difference which is -2
(c) Because of the existence of common difference
(d) = a + 26d
= -1 + 26 ( -2 )
= -1 - 52
= - 53