How do you simplify 8/21
1 answer:
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Question:
Which is equivalent to after it has been simplified completely?
Answer:
Step-by-step explanation:
Given
Required
Simplify
We start by splitting the square root
Replace 180 with 36 * 5
Further split the square roots
Replace power of x; 11 with 10 + 1
From laws of indices;
So, we have
Further split the square roots
From laws of indices;
So, we have
Rearrange Expression
From laws of indices;
So, we have
<em>The expression can no longer be simplified</em>
Hence, is equivalent to
The first term of the arithmetic progression exists at 10 and the common difference is 2.
<h3>How to estimate the common difference of an arithmetic progression?</h3>
let the nth term be named x, and the value of the term y, then there exists a function y = ax + b this formula exists also utilized for straight lines.
We just require a and b. we already got two data points. we can just plug the known x/y pairs into the formula
The 9th and the 12th term of an arithmetic progression exist at 50 and 65 respectively.
9th term = 50
a + 8d = 50 ...............(1)
12th term = 65
a + 11d = 65 ...............(2)
subtract them, (2) - (1), we get
3d = 15
d = 5
If a + 8d = 50 then substitute the value of d = 5, we get
a + 8 5 = 50
a + 40 = 50
a = 50 - 40
a = 10.
Therefore, the first term is 10 and the common difference is 2.
To learn more about common differences refer to:
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