Answer:
Step-by-step explanation:
5x-4=20
5x=24: x=24/5
y=3x-12
y=3(24/5)-12
y = (72-60)/5
y=12/5
Answer:
The beam should be placed 8 feet from the center.
Step-by-step explanation:
The struts are y = √(x + 8) and y = √(x − 4). The struts are 2 feet apart at the location of the beam:
√(x + 8) − √(x − 4) = 2
Solving:
√(x + 8) = 2 + √(x − 4)
x + 8 = 4 + 4√(x − 4) + x − 4
8 = 4√(x − 4)
2 = √(x − 4)
x − 4 = 4
x = 8
<span>3.60555128 is the awnser</span>
Answer:
Step-by-step explanation:
given is a system of linear equations in 3 variables as
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(-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:
HK = 24
Step-by-step explanation:
HK and JL are diagonals of the parallelogram.
Recall that diagonals of a parallelogram bisect each other. This implies that, they divide each other into equal parts.
Therefore,
HK = 2(HM)
HM = 12
Thus,
HK = 2(12)
HK = 24
