Answer:
x = 1 2/3 hours
Step-by-step explanation:
We can use ratios to solve
150 miles 100 miles
---------------- = ---------------
2.5 hours x hours
Using cross products
150x = 2.5*100
divide each side by 150
150x/150 = 250/150
x = 1 2/3 hours
Answer:
Undefined.
Step-by-step explanation:
We want to find the slope of the graph of the equation:

At the point (9, 0).
In other words, we want to evaluate dy/dx when <em>x</em> = 9 and <em>y</em> = 0.
Find dy/dx. We can take the derivative of both sides with respect to <em>x: </em>
![\displaystyle \begin{aligned} \frac{d}{dx}\left[ x^2 - y^2\right] = \frac{d}{dx}\left [ 81\right] \\ \\ 2x - 2y \frac{dy}{dx} &= 0 \\ \\ \frac{dy}{dx} = \frac{x}{y}\end{aligned}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cbegin%7Baligned%7D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%5B%20x%5E2%20-%20y%5E2%5Cright%5D%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%20%5B%2081%5Cright%5D%20%5C%5C%20%5C%5C%202x%20-%202y%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%26%3D%200%20%5C%5C%20%5C%5C%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D%20%5Cfrac%7Bx%7D%7By%7D%5Cend%7Baligned%7D)
Then the slope of the graph at the point (9, 0) will be:

In conclusion, the slope of the graph at the point (9, 0) is undefined.
I believe it’s A because if it is perpendicular you would have to flip 6X and change the sign so therefore it would be A. In slope intercept form it would be y=-6x+1.
Having a $75 added cost to the total price, we can presume they will never equal. It is easy to see if you make it algebraic:

They will never equal each other.