Perpendicular lines refers to a pair of straight lines that intercept each other. The slopes of this lines are opposite reciprocal, meaning that it's multiplication is -1.
On this case they give you the equation of a line and a point, and is asked to find the equation of a line that is perpendicular to the given one, and that passes through this point.
-2x+3y=-6 Add 2x in both sides
3y=2x-6 Divide by 3 in both sides to isolate y
y=2/3x-6/3
The slope of the given line is 2/3, which means that the slope of a line perpendicular to this one, needs to be -3/2. Now you need to find the value of b or the y-intercept by substituting the given point into the formula y=mx+b, where letter m represents the slope.
y=mx+b Substitute the given point and the previous slope found
-2=(-3/2)(6)+b Combine like terms
-2=-9+b Add 9 in both sides to isolate b
7=b
The equation that represents the line perpendicular to -2x+3y=-6 and that passes through the point (6,-2), is y=-3/2x+7.
Oh god this one got me too it’s 2
Answer:
2
Step-by-step explanation:
Answer: a=4
Step-by-step explanation:
6a+9=33
Subtract
6a=24
Divide
a=4
Answer:
The bacteria took 1 hour and 40 minutes to fill the first bottle and it took only 10 minutes to fill 3 more. This is because of the amount of bacteria, for the first bottle there were only a few so it took them time to grow and multiply but once there were a lot the process starts to get faster. Think of it like this if you have 1 bacteria it will multiply into 2 bacteria. The 2 will multiply into 4, then 8, 16, 32, 62, 124 and so on. Do you notice how the numbers are getting bigger every time? Each number is being multiplied by 2 so the growth rate speeds up very quickly, which is why it took the bacteria 1 hour and 40 minutes to fill the first bottle and only 10 minutes to fill the other 3.
(I'm not sure but this is my theory)
