Answer:
=360x
Step-by-step explanation:
The volume of of the prism is 36 inches
Answer:
Step-by-step explanation:
Lots of factoring here. Let's rewrite everything in its simplest, factored form:
![\frac{\frac{(x-1)(x+3)}{(x-4)} }{\frac{(2x-1)(x+3)}{(x+4)(x-4)} }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B%28x-1%29%28x%2B3%29%7D%7B%28x-4%29%7D%20%7D%7B%5Cfrac%7B%282x-1%29%28x%2B3%29%7D%7B%28x%2B4%29%28x-4%29%7D%20%7D)
The term (x - 4) cancels out completely, leaving us with
![\frac{(x-1)(x+3)}{\frac{(2x-1)(x+3)}{(x+4)} }](https://tex.z-dn.net/?f=%5Cfrac%7B%28x-1%29%28x%2B3%29%7D%7B%5Cfrac%7B%282x-1%29%28x%2B3%29%7D%7B%28x%2B4%29%7D%20%7D)
Let's get rid of that (x + 4) by multiplying both top and bottom by (x + 4) to get
![\frac{(x-1)(x+3)(x+4)}{(2x-1)(x+3)}](https://tex.z-dn.net/?f=%5Cfrac%7B%28x-1%29%28x%2B3%29%28x%2B4%29%7D%7B%282x-1%29%28x%2B3%29%7D)
It's obvious now that the (x + 3) term cancels out, leaving us with
![\frac{(x-1)(x+4)}{(2x-1)}](https://tex.z-dn.net/?f=%5Cfrac%7B%28x-1%29%28x%2B4%29%7D%7B%282x-1%29%7D)
Now all that's left to do is to FOIL out the numerator:
![\frac{x^2+3x-4}{2x-1}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%2B3x-4%7D%7B2x-1%7D)
The first choice is the one you want
We need to isolate y,,
–48 = 2x − 8y,,
–48-2x = -8y,,
-8y = -2x - 48,,
y = (-2x - 48)/(-8),,
y = (-2x)/(-8) - 48/(-8),,
y = (1/4)x + 6,,
The last equation above is in the form y = mx+b where m = 1/4 is the slope