Any rhombus has the same length for all for sides, so:
x + 14 = 3x +4
So, we get x = 5
Now, we can write
x + 14 = 8y
Since x = 5,
19 = 8y
so y = 19/8 = 2.375
<span>You can take any one of the equations and substitute the value of x or y in. The length is 19</span>
Mr. Blue' salary is an illustration of a geometric sequence
- The explicit rule of Mr. Blue 's salary is an = 30000 * 2^(n - 1)
- The recursive rule of Mr. Blue's salary is an+1 = 2an; a1 = 30000
<h3 /><h3>How to determine the explicit formula?</h3>
Mr. Blue's salary is a geometric sequence with the following parameters:
First term, a1 = 30000
Rate, r = 2
The explicit rule is calculated as:
an = a1 * r^(n - 1)
This gives
an = 30000 * 2^(n - 1)
<h3>How to determine the recursive formula?</h3>
The common ratio is calculated as:
r = an+1/an
Substitute 2 for r
2 = an+1/an
Cross multiply
an+1 = 2an
Hence, the recursive rule of Mr. Blue's salary is an+1 = 2an; a1 = 30000
Read more about arithmetic sequence at:
brainly.com/question/6561461
i dont know srry
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Answer:
x = 2
Step-by-step explanation:
Given the equation as;
log 3 + log x - log(x + 1) = log 2
collect like terms
log x - log(x + 1) = log 2-1og 3
Re-write the equation by applying laws of logarithms in that when you subtract logs you divide the numbers/terms. This will give
log [ x / x+1 ] = log [2/3]
Cancel log on both sides to remain with;
x/ x+1 = 2/3
Apply cross-product
3{x} = 2{x+1}
3x = 2x + 2
3x-2x = 2
x = 2
