An equation of line with slope m = 5 and which goes through the point (8, -9) is y = 5x - 49
In this question, we have been given a slope of the line and a point (8, -9)
We need to find an equation of the line with slope m = 5 and which goes through the point (8, -9)
Let (x1, y1) = (8, -9)
Using the slope-point form of the line,
y - y1 = m(x - x1)
y - (-9) = 5(x - 8)
y + 9= 5x - 40
y = 5x - 40 - 9
y = 5x - 49
Therefore, an equation of line with slope m = 5 and which goes through the point (8, -9) is y = 5x - 49
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Answer:
x = 3
Step-by-step explanation:
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
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Answer:
the initial height of water.
Step-by-step explanation:
when time equals zero, no water has been drained.
the volume of the tank is unknown however the volume in the tank is 12 at time zero
