Answer:
The distance between parallel lines is
Step-by-step explanation:
we have
-----> equation A
-----> equation B
Line A and Line B are parallel lines, because their slopes are equal
Step 1
Find the slope of the given lines
isolate the variable y in the equation A
The slope is
Step 2
Find the slope of the perpendicular line to the given lines
we know that
If two lines are perpendicular, then the product of their slopes is equal to -1
so
we have
-----> given lines
substitute
Step 3
Find the equation of the perpendicular line that pass though the origin
with the slope and the point (0,0) Find the equation of the line
Step 4
Using a graphing tool
Graph the two parallel lines and the perpendicular line
The intersection points are
and
see the attached figure
we know that
the distance between the points A and B is the distance between parallel lines
the formula to calculate the distance between two points is equal to
substitute the values
Answer:
Parrot fish = 56
Tigerfish = 224
Step-by-step explanation:
4p + p = 280
5p = 280
p = 56
t = 4 (56) = 224
When you owe money it is a negative because when you earn money you have to pay it back
Answer:
Answer:
6 days
210 pages
Step-by-step explanation:
As stipulated by the question, let the number of days Amir has been reading be x and the number of pages he had read to be y.
Now since he reads 35 pages per day.
Then mathematically;
y = 35x
For Jesse, He started reading a day before, this means that the number of days he had read would be x + 1. Since he reads 30 per day, the total number of pages he would have read is 30(x+1)
To find the number of days which is x, we have to assume that at a point in time, the number of books they would have read would be the same meaning that
Also; y = 30(x + 1)
Equating the two situations
35x = 30(x + 1)
35x = 30x + 30
35x -30x = 30
5x = 30
x = 30/5
x = 6 days
This means that it will take Amir 6 days to catch Jese.
The number of books they would have read by then is y = 35x = 30(x + 1)
= 35 * 6 or 30(6+1)
= 210
Step-by-step explanation: