The number of bacteria that will exist in 12 hours is 614,400.
Answer:
The equation of the line that is perpendicular to the line that passes through the point (-4, 2) is y = -9·x/5 + 18
Step-by-step explanation:
The coordinates of the point of intersection of the two lines = (5, 9)
The coordinates of a point on one of the two lines, line 1 = (-4, 4)
The slope of a line perpendicular to another line with slope, m = -1/m
Therefore, we have;
The slope, m₁, of the line 1 with the known point = (9 - 4)/(5 - (-4)) = 5/9
Therefore, the slope, m₂, of the line 2 perpendicular to the line that passes through the point (-4, 4) = -9/5
The equation of the line 2 is given as follows;
y - 9 = -9/5×(x - 5)
y - 9 = -9·x/5 + 9
y = -9·x/5 + 9 + 9
y = -9·x/5 + 18
Therefore, the equation of the line that is perpendicular to the line that passes through the point (-4, 2) is y = -9·x/5 + 18.
Answer:
The
best models the amount of time it takes him to finish with kelvin cycling .
Option (A) is correct.
Step-by-step explanation:
As given
Kevin cycles 18 miles every morning as part of his exercise.
The time it takes him to complete the distance varies inversely as the speed at which he rides.


As m miles per hour is represented the speed.
T is the time taken by Kevin cycle for morning exercise .
Distance = 18
Putting the values in the above

Therefore the
best models the amount of time it takes him to finish with kelvin cycling .
Option (A) is correct.
Answer:
y=-x-1
Step-by-step explanation: