capital A
lower case and upper case v
lower case and upper case o
lower case and upper case i
lower and upper case w
Here's a solution for #8
Volume of a sphere = V = 4/3π r³
Your radius r = 6, so plugging that in you get:
V = 4/3π(6³)
V = 4/3π216
V = 864/3π
V = 288π (units³)
Answer:
Step-by-step explanation:
given is a system of linear equations in 3 variables as
![-x - 4y + 2z = −10\\ x + 2y - z = 11 \\x + y - z = 14](https://tex.z-dn.net/?f=-x%20-%204y%20%2B%202z%20%3D%20%E2%88%9210%5C%5C%20x%20%2B%202y%20-%20z%20%3D%2011%20%5C%5Cx%20%2B%20y%20-%20z%20%3D%2014)
This can be represented in matrix form as
AX=B Or
![\left[\begin{array}{ccc}-1&-4&2\\1&2&-1\\1&1&-1\end{array}\right] *\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}-10\\11\\14\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%26-4%262%5C%5C1%262%26-1%5C%5C1%261%26-1%5Cend%7Barray%7D%5Cright%5D%20%2A%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-10%5C%5C11%5C%5C14%5Cend%7Barray%7D%5Cright%5D)
So solution set
X would be ![A^{-1} B](https://tex.z-dn.net/?f=A%5E%7B-1%7D%20B)
|A|=-1(-1)+4(0)+2(-1)=--1
Cofactors of A are
-1 0 -1
-2 -1 -3
0 1 2
So inverse of A is
1 2 0
0 1 -1
1 3 -2
Solution set would be
x=12
y=-3
z=-5
Answer:
20'×15 in 54 inches
Step-by-step explanation:
The Best as a pool should be rectangular in shape and 54inches deep for safety of life's