The graph shows two lines, A and B. Based on the graph, which statement is correct about the solution to the system of equations
for lines A and B?
A. (4, 4) is the solution to line A but not to line B.
B. (4, 4) is the solution to both lines A and B.
C. (5, 1) is the solution to line B but not to line A.
D. (0, 2) is the solution to both lines A and B.
A. (4, 4) is the solution to line A but not to line B.
B. (4, 4) is the solution to both lines A and B.
C. (5, 1) is the solution to line B but not to line A.
D. (0, 2) is the solution to both lines A and B.
2 answers:
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Question 9: Option (2)
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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