Answer:
y = - x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 2 ← is in slope- intercept form
with slope m = 2
Given a line with slope m then the slope of a line perpendicular to it is
= - = - , thus
y = - x + c ← is the partial equation
To find c substitute (4, 3) into the partial equation
3 = - 2 + c ⇒ c = 3 + 2 = 5
y = - x + 5 ← equation of perpendicular line
Think of investments. If you were to invest $100 into a company and receive $200 dollars, then you would have made $100 in profit, which is 100% of your initial amount. So, if you were to invest $100 and receive $250 dollars in profit, then you would have made an extra $150, which is even more than your initial amount of $100. In this case, you would have made a 150% increase on your money.
Your answer is v = -2.
To solve this equation, we need to rearrange to get v by itself and then solve:
4 + 3v = -2v - 6
+ 2v
4 + 5v = -6
- 4
5v = -10
÷ 5
v = -2
I hope this helps!
Answer:
The first plane is moving at 295 mph and the second plane is moving at 355mph.
Step-by-step explanation:
In order to find the speed of each plane we first need to know the relative speed between them, since they are flying in oposite directions their relative speed is the sum of their individual speeds. In this case the speed of the first plane will be "x" and the second plane will be "y". So we have:
x = y - 60
relative speed = x + y = (y - 60) + y = 2*y - 60
We can now apply the formula for average speed in order to solve for "y", we have:
average speed = distance/time
average speed = 1625/2.5 = 650 mph
In this case the average speed is equal to their relative speed, so we have:
2*y - 60 = 650
2*y = 650 + 60
2*y = 710
y = 710/2 = 355 mph
We can now solve for "x", we have:
x = 355 - 60 = 295 mph
The first plane is moving at 295 mph and the second plane is moving at 355mph.
Answer:
\sqrt{x-8},\:-\sqrt{x-8}
Step-by-step explanation:
change x and y and solve for x