The 2-point form of the equation of a line can be written as ...
... y = (y2-y1)/(x2-x1)·(x -x1) +y1
For your points, this is ...
... y = (1-5)/(3-6)·(x -6) +5
... y = (4/3)(x -6) +5
It can also be written as
... y -5 = (4/3)(x -6)
Answer:
45, 36
Step-by-step explanation:
let x y minutes be the time for pipes to fill the tank, let n be the water needed to fill the tank.
x-y=9
(n/x)*20+(n/y)*20=n
n is removed by dividing the 2nd equation by n
here u get:
(1/x+1/y)*20=1
you sub x=9+y into the above equation
1/y+1/(9+y)=1/20
((9+y)+(y))*20=(9+y)(y)
180+40y=9y+y2
y2-31y-180=0
then use the quadratic formula and u will find y=36 or -5
-5 is rejected because it is negative
x=36+9=45
therefore it is 36 mins and 45 mins
Answer:
612 adults
361 students
Step-by-step explanation:
To solve this question, set two equations:
Let x be number of adults and y be number of students.
As there are in total 937 people, the equation would be the sum of both adults and children:
...... ( 1 )
As the total sale amount is $1109, the equation would be to add up the ticket fee:
...... ( 2 )
Put ( 1 ) into ( 2 ):
Put y into ( 1 ):
Therefore there are 612 adults and 361 students.
10P8 = 10!/(10 - 8)! = 10!/2! = 1,814,400
Answer:
Step-by-step explanation:
4x=12
x=12/4
x=3 answer
y=4*3=12 answer.
z=8-3=5 answer.
proof
3+12+5=20
20=20
