Answer:
2y - 12x = 3
Step-by-step explanation:
gradient of line PQ= (7-8)/ 4+2
-1/6
gradient of perpendicular bisector of line PQ=
-1 ÷ -1/6
-1× -6
6
coordinates of the midpoint of line PQ
(-2+4)/2, (8+7)/2
(1, 15/2)
the perpendicular bisector passes through the midpoint of line PQ
Equation of the perpendicular bisector
y - 15/2 = 6(x - 1)
multiply through by 2
2y - 15 = 12(x - 1)
2y - 15 = 12x - 12
2y - 12x = 3
For this case, the first thing we must do is define variables.
x: amount of time Miguel uses to complete the task.
y: amount of time Maria uses to complete the task.
We write the system of equations:
x + y = 60
y = (1/2) x
Solving the system we have:
x = 40 minutes
y = 20 minutes
Answer:
it take her to wash them by herself about:
y = 20 minutes
Company A pays $5500 more than B in year 10
X^2+x-30 -- find two numbers that add to one and multiply to -30, which would be 6 and -5. so now you have x^2+6x-5x-30. factor out x and 5 to get x(x+6)-5(x+6). so you get (x+6)*(x-5)