The equivalent to the quotient shown in the task content for acceptable values of x is; √(5/(x-1)).
<h3>What is the equivalent of the quotient?</h3>
It follows from the task content that the expression given is; √(25(x-1)) ÷ √(5(x-1)²).
It therefore follows from the the laws of indices that the evaluation is thus;
= √{(25/5) ×(x-1)/(x-1)²}.
Ultimately, upon evaluation we have;
= √(5/(x-1))
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Percent increase from 2000 to 2001 is 12% and from 2001 to 2002 is 12.6%. Thus period of 2001 to 2002 has higher increase percentage.
Solution:
Given that,
Total circulation of local newspaper in 2000 = 3250
Total circulation of local newspaper in 2001 = 3640
Total circulation of local newspaper in 2002 = 4100
As we can see 12% < 12.6%
So period of 2001 to 2002 has higher increase percentage.
Step-by-step explanation:
arithmetic sequence.
an = an-1 + c = a1 + (n-1)c
c is in our case 2 (every new shape has 2 more vertices).
we have a a1 = 3.
an = 3 + 2(n-1)
so,
a21 = 3 + 2(20) = 3 + 40 = 43
the 21st shadow will have 43 vertices.
<span>We can represent the number of pies she makes to be x.
We also need to add $30 to the equation to take the baking supply cost into consideration.
The Cost can be represented by C.
C = 5x + 30 is the equation to use to determine the Cost! 5 times the number of pies she makes plus the $30 for baking supplies!
If we look at just the cost when she doesn't sell any pies, we can say x = 0
That means C = 5(0) + 30 or C = 30, it means that she has to pay $30 or the Cost is $30 when she sells no pies.
This makes sense since the baking supplies were $30.
Are you with me so far?</span>
When you write the equation of a circle in the form
Then the center has coordinates 
and the radius is 
So, in your case, the center is (5,-3) and the radius is 5.
