I hope this helps you
width w
length w+11
perimeter =2 (width +length )
86=2 (w+w+11)
43=2w+11
32=2w
w=16
length = w+11=16+11=27
Answer:
The minimum value of C is 14
Step-by-step explanation:
Sketch the graph of the constraints using
2x + y = 20
with intercepts (0, 20) and (10, 0)
2x + 3y = 36
with intercepts (0, 12) and (18, 0)
The solution to both are above the lines
Solve 2x + y = 20 and 2x + 3y = 36 to find the point of intersection at (6, 8)
Then the coordinates of the vertices of the region formed are
(0, 20), (6, 8) and (18, 0)
Evaluate the objective function at each vertex to determine minimum value
C = 0 + 20 = 20
C = 6 + 8 = 14
C = 18 + 0 = 18
Thus the minimum value of C is 14 when x = 6 and y = 8
Answer:
1240 students
Step-by-step explanation:
not sure but I'm pretty sure its right.
Step-by-step explanation:
Parametric equations of the line, 9x + y = -1
Assign any one of the variables equal to s. (say x = s).
By substituting the value x=s in the given equation,
The equation can be rewritten as 9s + y= -1
Set of parametric equations is x = s and
y= -9s- 1 (or) y= -(9s + 1)
9514 1404 393
Answer:
see attached
Step-by-step explanation:
13. The difference of two matrices is the term-by-term difference. For example, the bottom right term is the difference of the bottom right terms ...
(-6) -(5) = -11
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14. The scalar multiple of a matrix is the scalar multiplied by each term of the matrix. For example, the upper right term is ...
3(1) = 3
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15. The matrix product is the dot product of the rows of the left matrix with the columns of the right matrix. For example, the product term in row two, column one is the dot product of row 2 of C and column 1 of B:
[9, -2, 4]·[-2, -7, 10] = 9(-2) +(-2)(-7) +4(10) = -18 +14 +40 = 36
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It is convenient to let an appropriate tool help with this. Many graphing calculators and spreadsheets are able to do these functions easily.