What is the length of line segment BC?
1 answer:
Answer:
d. 10.53 units
Step-by-step explanation:
This question could be answered by Pythagoras Theorem which is :
In every triangle c is always the hypotenuse ( which is the longest line in the triangle/ the line where the right angle sign is pointing to )
a or b could be either one of the other lines of the triangle it doesn't matter.
First you find AC which is simply by adding the two 5.2 values which is 10.4 units.
BC can be written as b in our Pythagoras equation and if you first substitute it you will have:
To find b you rearrange everything to the other side except b
And if you type that in the calculator you get
BC= 10.53 units (2 decimal place)
Hope it is right, and ask any questions if unsure :)))
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Answer:
Max = (6,0); min = (-2, 4)
Step-by-step explanation:
1. Summarize the constraints
2. Optimization equation
z = 5x + 2y
3. Graph the constraints to identify the feasible region
See the figure below.
The "TRUE" regions for each graph are the shaded areas to the side of the line indicated by the arrows.
The "feasibility region" is the dark green area where all three areas overlap and all three conditions are satisfied.
5. Determine the points of intersection among the constraints
(i) Constraints (a) and (b)
The lines intersect at (3,-6).
(ii) Constraints (a) and (c)
The lines intersect at (6,0).
(iii) Constraints (b) and (c)
The lines intersect at (-2,4).
6. Determine the x- and y-intercepts of the feasible region
The five black dots at (3,-6), (6,0), and (-2,4) are the vertices of the polygon that represents the feasible region.
Each vertex is a possible maximum or minimum of z.
7. Calculate the maxima and minima
Calculate z at each of the vertices.
(i) At (-2,4)
z = 5x + 2y = 5(-2) + 2(4) = -10 + 8 = 2
(ii) At (3,-6)
z = 5(3) + 2(-6) = 15 - 12 = 3
(iii) At (6,0)
z = 5(6)+ 2(0) = 30 + 0 = 30
The maximum of z occurs at (6,0).
The minimum of z occurs at (-2, 4).
