Answer:
D
Step-by-step explanation:
Step-by-step explanation:
slope= <u>y</u><u>²</u><u>-</u><u>y</u><u>¹</u>
x²-x¹
<u>-12--6</u>
5-2
-12+6
Answer:
Option c. 30,000
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form
or 
Let
y ----> safe load in pounds
x ----> length in feet of a horizontal beam
we have
For 
Remember that

substitute

Answer:
4x-2y=2
Step-by-step explanation:
Line R is represented by the following equation:
x+y=2
We need to choose another system of equation of x+y=2
whose solution is (1,1)
The equation must be satisfy the point (1,1)
Option 1: 2x+y = 2
Put x=1 and y=1
2(1)+1 = 3
3 ≠ 2
False
Option 2: 4x-2y=2
Put x=1 and y=1
4(1) - 2(1) = 2
2 = 2
True
Option 3: 2x-2y=2
Put x=1 and y=1
2(1) - 2(1) = 0
0 ≠ 2
False
Option 4: x+y=4
Put x=1 and y=1
1+1 = 2
2 ≠ 4
False
Hence, The system of equation is 4x-2y=2
Answer
a) k=7, h=9, the unique solution of the system is 
b) If k=6 and h=8 the system has infinite solutions.
c)If k=6 and h=9 the system has no solutions.
Step-by-step explanation:
I am assuming that the system is x1+3x2=4; 2x1+kx2=h
The augmented matrix of the system is
. If two times the row 1 is subtracted to row 2 we get the following matrix
.
Then
a) If k=7 and h=9, the unique solution of the system is
and solviong for
,

Then the solution is 
b) If k=6 and h=8 the system has infinite solutions because the echelon form of the matrix has a free variable.
c)If k=6 and h=9 the system has no solutions because the last equation of the system of the echelon form of the matrix is 