Answer:
Step-by-step explanation:
An absolute value is the distance a number is from 0 on the number line. So, regardless if it is a negative or a positive number, the distance from that number to 0 will always be positive. For example, -5 is 5 units away from 0, and 5 is also 5 units from zero. They have the same absolute value, even though one is negative and the other is positive.
Answer:
x = 7
Step-by-step explanation:
Based on the midsegment theorem of a trapezoid, thus:
NP = (JK + ML)/2
Substitute
45 = (3x + 11 + 10x - 12)/2
2*45 = 13x - 1
90 = 13x - 1
90 + 1 = 13x
91 = 13x
Divide both sides by 13
91/13 = x
7 = x
x = 7
9514 1404 393
Answer:
(0,0)
(0,3)
(3,2)
(4,0)
Step-by-step explanation:
The feasible region is the doubly-shaded area in the lower left corner of the first quadrant. It is a quadrilateral, so has 4 vertices. Those are the vertices of the feasible region:
(0,0)
(0,3)
(3,2)
(4,0)
_____
<em>Additional comment</em>
The objective function has positive slope, so the point (4, 0) will maximize it, and the point (0, 3) will minimize it.
Answer:
Step-by-step explanation:
