Answer:
3x +y = -2
Step-by-step explanation:
First of all, it is helpful to put the given equation in standard form. We can do that by dividing it by 2 to eliminate the common factor from the numbers.
x -3y = 5
Next, since you want the perpendicular line, you can swap the coefficients of x and y, and negate one of them. This can give you ...
3x +y = (some constant)
The constant will be found using the given point.
3x +y = 3(2) +(-8) = -2 . . . the perpendicular line
An equation is ...
3x +y = -2
The y variable stands for the y value in an equation like x+y=1
Answer: 2(13x+2)
Step-by-step explanation:
Answer: 40
Step-by-step explanation:
So first you want to find how much the second car gains on the first car in one hour.
Since the second car travels 65 kph, but the first travels 40, we can just subtract 40 from 65 to find how much faster the second car is than the first.
65 - 40 = 25
So the second car is 25 kph faster than the first.
Since the first car had a 2 hour head start, we first want to calculate how far away the first car got from the sign before the second car reached the sign.
So just 2 hours * 40 kph, which gives you 80 kilometers.
So now we know the second car has to gain 80 km on the first car in order to overtake it.
Since the second car gains 25 km per hour on the first car, we can just divide 80 by 25.
80 / 25 = 16/5, or in decimal form 3.2.
So the second car will overtake the first car in 3.2 hours, or 192 minutes, which is also 3 hours and 12 minutes.
