Which point best represents the following ordered pairs?
1 answer:
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Given, arc QR is congruent to arc LN and arc OP is congruent to arc VW.
And the expressions for each arc in the diagram also given as:
Arc QR = 2x - y, arc LN = 11 , arc OP= 10 and arc VW=5x+y.
Hence, we will get the system of equations as following:
Arc QR = Arc LN
2x - y = 11 ...(1)
Arc OP = Arc VW
5x + y = 10 ...(2)
We need to find the value of x. So, we can add the equations to eliminate y so that we can solve the equations for x. Therefore,
2x+5x = 11 + 10
7x = 21
Divide each sides by 7.
So, x= 3
Answer:
is an expression which describe the given sequence
Step-by-step explanation:
Arithmetic sequence states that a sequence where the difference between each successive pair of terms is the same.
The general rule for the arithmetic sequence is given by;
......[1]
where
represents the first term
d represents the common difference
and n is the number of terms;
Given sequence: -1 , 0 , 1 , 2 , .....
This is an arithmetic sequence with common difference
Since,
0-(-1) = 1
1-0 =1
2-1 = 1 ....
Here,
Substitute the value of , d =1 in [1] we get
Therefore,an expression which describe the given sequence is,
ANSWER
EXPLANATION
The problem represents a geometric progression.
The general form of a geometric sequence is:
where a = first term
r = common ratio
The first term from the table is the first price (for the first month). That is $80.00
To find the common ratio, we divide a term by its preceeding term.
Let us divide the price of the second month from the first.
We have:
The price after the 8th month is the value of a(n) when n = 8
So, we have that: