Given:
The given equation of line is
To find:
The equation of line that passes through (-5,4) and is parallel to the given line.
Solution:
Slope intercept form of a line is
...(i)
where, m is slope and b is y-intercept.
We have,
...(ii)
On comparing (i) and (ii), we get
Slope of given line is .
Slope of parallel lines are same. So, slope of parallel line is .
The required line passes through (-5,4) with slope . So, the equation of line is
Adding 4 on both sides, we get
Therefore, the correct option is a.
each question has two possible outcomes. 12x2= 24
I’m pretty sure it would be interquartile range, since range is the measure that measures variation within a data set.
Answer:
100.75 liters
Step-by-step explanation:
Data provided in the question:
t (min) 0 0.5 1 1.5 2 2.5 3
r (l/min) 44 40 37 34 30 27 23
Now,
left endpoint approximation
= 0.5 × ( 44 + 40 + 37 + 34 + 30 + 27 )
= 0.5 × 212
= 106
Right endpoint approximation
= 0.5 × ( 40 + 37 + 34 + 30 + 27 + 23 )
= 0.5 × 191
= 95.5
Therefore,
the average of the left- and right-endpoint approximations
= [ 106 + 95.5 ] ÷ 2
= 100.75 liters
