Two cars start moving from the same point. one travels south at 60 mi/h and the other travels west at 25 mi/h. at what rate is the distance between the cars increasing four hours later?

Oops, I missed they we're moving perpendicularly. Gotta be more careful.  I'm gonna blame this immovable answer box popping up and hiding the question on my browser. Plus I skimmed it.

We wont worry about the signs; they won't matter.  We have car 1  (x,y)=(0,60t) and car 2 (x,y)=(25t,0).  So the squared distance is

recognizing the Pythagorean Triple.  Everything's positive so

So they're moving apart at a constant 65 mph.

65 mph

step-by-step explanation:

the shape,the size and the distance

step-by-step explanation:

let's assume

number of candles set =x

price of of x candles =p(x)

we are given

a candle maker prices one set of scented candles at $10 and sells an average of 200 sets each week

so, we get point as (200,10)

he finds that when he reduces the price by $1, he then sells 50 more candle sets each week

so, we can find slope

now, we can use point slope form of line

now, we can plug values

we can use point

and find b

now, we can plug it back

and we get

now, we can find revenue

we know that

revenue = price*quantity

so, we get