Answer:
The coordinates of the vertices are;
(200, 200), (300, 200), (300, 0), (0, 500)
Step-by-step explanation:
The vertices are the corners of a polygon. It is the point where an angle is formed by the intersection of two lines
The feasible region is the solution space of the points of the variables that meet the specification of the problem set by means of a constant or the definition of inequalities or equations
From the graph of the function of inequalities, we have that the four vertices are the four points where the lines bounding the area of the feasible region of the inequalities meet
The coordinates of the vertices are (200, 200), (300, 200), (300, 0), (0, 500).
Answer:
-21
Step-by-step explanation:
-21 x 2 = -42 -42+16= -26
Answer:
12 oz: $0.35 per oz
16.3 oz: $0.38 per oz
28 oz: $0.30 per oz
64 oz: $0.33 per oz
Which size is the best deal?
28 oz
Step-by-step explanation: it gave me the right answer after.
Using the dot product:
For any vector x, we have
||x|| = √(x • x)
This means that
||w|| = √(w • w)
… = √((u + z) • (u + z))
… = √((u • u) + (u • z) + (z • u) + (z • z))
… = √(||u||² + 2 (u • z) + ||z||²)
We have
u = ⟨2, 12⟩ ⇒ ||u|| = √(2² + 12²) = 2√37
z = ⟨-7, 5⟩ ⇒ ||z|| = √((-7)² + 5²) = √74
u • z = ⟨2, 12⟩ • ⟨-7, 5⟩ = -14 + 60 = 46
and so
||w|| = √((2√37)² + 2•46 + (√74)²)
… = √(4•37 + 2•46 + 74)
… = √314 ≈ 17.720
Alternatively, without mentioning the dot product,
w = u + z = ⟨2, 12⟩ + ⟨-7, 5⟩ = ⟨-5, 17⟩
and so
||w|| = √((-5)² + 17²) = √314 ≈ 17.720
