The diagram tells you it is 33°, so the answer is B
Answer:
y = (2/5)x + 3
Step-by-step explanation:
Note that the y-intercept is (0, 3) and that the line passes right through the point (5, 5). First we find the slope of this line: m = rise/run.
As we move from (0, 3) to (5, 5), we see that x increases by 5 (the run) and y increases by 2 (the rise). Thus, the slope of this line is m = 2/5.
Now we know that m = 2/5, x = 5, y = 5 and b (the y-intercept) is 3. Then our equation is y = mx + b, or y = (2/5)x + 3
The recursive formula for this sequence is
= -7;
=
+ 10
Step-by-step explanation:
The recursive formula of the arithmetic sequence is:
= first term;
=
+ d
is the first term in the sequence
is the nth term in the sequence
the term before the nth term - n is the term number
- d is the common difference
∵ The sequence is -7 , 3 , 13 , 23 , 33 , 43 , ........
∵ 3 - (-7) = 3 + 7 = 10
∵ 13 - 3 = 10
∵ 23 - 13 = 10
- There is a constant difference 10 between the consecutive terms
∴ The sequence is an arithmetic sequence
∵ The first term is -7
∴
= 7
∵ The common difference is 10
∴ d = 10
- Substitute in the formula above
by -7 and d by 10
∴
= -7;
=
+ 10
To check the formula find the second term
∵ n = 2
∴
= -7;
=
+ 10
∴
=
+ 10
∵
= -7
∴
= -7 + 10 = 3 which is right
The recursive formula for this sequence is
= -7;
=
+ 10
Learn more:
You can learn more about the sequences in brainly.com/question/7221312
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