Answer:
2x - 2y = - 10
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Given
- 2(x - y) - 10 = 0 ← distribute parenthesis on left side
- 2x + 2y - 10 = 0 ( add 10 to both sides )
- 2x + 2y = 10 ( multiply through by - 1 )
2x - 2y = - 10 ← in standard form
4 divide 4/9
4 times 9/4
= 9
Answer:
(9, 0)
Step-by-step explanation:
Maximum or minimum value occurs at the Corner. The points given are (0, 8), (5, 4) and (9, 0).
Substitute (0, 8) in the objective function.
We get P = 3(0) + 2(8) = 16
Now for (x , y) = (5, 4)
P = 3(5) + 2(4) = 15 + 8 = 23
At (9, 0) we get P = 3(9) + 2(0) = 27.
Clearly, we have the maximum value at (9, 0).
And the maximum value is 27.
The formula of the area of a trapezoid is equal to:
Area = (a+b) / 2 * h
Substituting the values.
9 = (2.4 + 3.6) / 2 * h
9 = 6 / 2 h
9 = 3h
h = 3
So the height of the trapezoid is equal to 3m.