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1 answer:
Answer:
required Value of x is x=8
Step-by-step explanation:
We are given two points: (5,8) and (x,14) and slope =2 . We need to find value of x.
The formula used to find slope is:
We are given slope =2 , x₁=5, y₁=8, x₂=x, y₂=14
So, we actually need to find value of x₂. Putting values in formula and find value of x
So, required value of x=8
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Explanation:
The expression is given below as
Concept:
We will apply the bsolute rule below
By applying the concept, we will have
Hence,
The final answer is
Here's a pattern to consider:
1+100=101
2+99=101
3+98=101
4+97=101
5+96=101
.....
This question relates to the discovery of Gauss, a mathematician. He found out that if you split 100 from 1-50 and 51-100, you could add them from each end to get a sum of 101. As there are 50 sets of addition, then the total is 50×101=5050
So, the sum of the first 100 positive integers is 5050.
Quick note
We can use a formula to find out the sum of an arithmetic series:
Where s is the sum of the series and n is the number of terms in the series. It works for the above problem.
1+100=101
2+99=101
3+98=101
4+97=101
5+96=101
.....
This question relates to the discovery of Gauss, a mathematician. He found out that if you split 100 from 1-50 and 51-100, you could add them from each end to get a sum of 101. As there are 50 sets of addition, then the total is 50×101=5050
So, the sum of the first 100 positive integers is 5050.
Quick note
We can use a formula to find out the sum of an arithmetic series:
Where s is the sum of the series and n is the number of terms in the series. It works for the above problem.