Answer:
69.575
Step-by-step explanation:
-x^2-x+3-x-1 combine like terms...
-x^2-2x+2
Answer:
For the first question, you may find the volume by using the formula V=Bh and then adding it to the area of the pyramid V=1/3Bh
Step-by-step explanation:
Answer: ![\left \{ {{y\leq -\frac{5}{3}x + \frac{11}{3}} \atop {y < 8}} \right](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7By%5Cleq%20-%5Cfrac%7B5%7D%7B3%7Dx%20%2B%20%5Cfrac%7B11%7D%7B3%7D%7D%20%5Catop%20%7By%20%3C%208%7D%7D%20%5Cright)
<u>Step-by-step explanation:</u>
(1, 2) and (4, -3)
First, find the slope (m): ![\frac{y_{2}-y_{1}}{x_{2}-x_{1}}](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D)
m = ![\frac{-3-2}{4-1}](https://tex.z-dn.net/?f=%5Cfrac%7B-3-2%7D%7B4-1%7D)
= ![-\frac{5}{3}](https://tex.z-dn.net/?f=-%5Cfrac%7B5%7D%7B3%7D)
Next, choose ONE of the points and input the point and slope into the Point-Slope formula: y - y₁ = m(x - x₁)
y - 2 =
(x - 1)
y - 2 =
+ ![\frac{5}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B3%7D)
y =
+ ![\frac{11}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7B3%7D)
Then, determine which inequality symbol will result in (-2, 8) being False (since it is not a solution):
y ___
+ ![\frac{11}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7B3%7D)
8 ___
+ ![\frac{11}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7B3%7D)
8 ___ ![\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D)
8 >
so ≤ makes the statement False
⇒ y ≤
+ ![\frac{11}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7B3%7D)
****************************************************************
If you need a "system" of inequalities, then you need another equation.
There are infinite possibilities. Graph the points to see what works.
y < 8 or x > -2 are two examples.
---> I just realized that the system can be simpler than what I did above:
![\left \{ {{x>-2} \atop {y < 8}} \right](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7Bx%3E-2%7D%20%5Catop%20%7By%20%3C%208%7D%7D%20%5Cright)
Marshall’s house is 7.3 miles away from Samuel’s house.