1- corresponding
2-alternative exterior
3-corresponding
Answer:
No solution. Inconsistent.
Step-by-step explanation:
The equations are
![2x+4y\leq 16\\x\leq 5\\y\leq 2\\x=6](https://tex.z-dn.net/?f=2x%2B4y%5Cleq%2016%5C%5Cx%5Cleq%205%5C%5Cy%5Cleq%202%5C%5Cx%3D6)
As we can see here that x=6 and x<=5 the solution area will not be bounded i.e., there will be no common area.
The lines do not intersect
Therefore there will be no solution.
Plotting the equations we get the graph below.
A strategy to avoid the question would be by just looking at the linear equations. It can be clearly seen that there are two lines that will never intersect and hence will have no solution.
Answer:
2x - 12
Step-by-step explanation:
Coordinates of the point that partitions the line into the given ratio is; (1, 5)
<h3>How to divide a line segment?</h3>
If the ratio dividing a line segment represents a:b, then the formula to divide the line segment is;
Coordinates = {(bx₁ + ax₂)/(a + b), (by₁ + ay₂)/(a + b)}
From our question, we have the ratio as;
1:2. Thus; a = 1 and b = 2
Our coordinate of CD is; C(-1,7) and D(5, 1)
Thus;
x₁ = -1
x₂ = 5
y₁ = 7
y₂ = 1
Coordinates of the point that partitions the line into the given ratio is;
Coordinate = {(2*-1 + 1*5)/(1 + 2), (2*7 + 1*1)/(1 + 2)}
Coordinate = (3/3, 15/3) = (1, 5)
Read more about Division of Line Segment at; brainly.com/question/17374569
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Answer:
75%
Step-by-step explanation: