Answer:
Y = [-6 6 6 -6]
Step-by-step explanation:
From the given matrices
If X - 2Y = Z
b - 2c = a ... 1
a -2d = c ...2
4+2a = 16.... 3
a + 2b = b .... 4
From3 ;
2a = 16-4
2a = 12
a = 6
From 4;
a + 2b - b = 0
a+b = 0
a = -b
6 = -b
b = -6
From1;
b - 2c = a
-6 - 2c = 6
-2c = 12
c = -6
also
a - 2d = c
6-2d = -6
-2d = -6-6
-2d = -12
d = 6
Hence the matrices Y = [-6 6 6 -6]
Answer:
FBC
Step-by-step explanation:
It's the only one at the front of the box
Answer:
k = - 8
Step-by-step explanation:
Subtract 9 from both sides to get the constants on one side and the variables on the other
9 - 2k = 25
- 2k = 25 - 9
Simplify
- 2k = 16
Divide by -2 on both sides to isolate the variable, then simplify once more.
- 2k/ -2 = 16/ -2
k = 16/ -2
k = -8
18. It would be the second graph. The third graph is eliminated as the boy takes a time period to shave, which means there should be a constant point (horizontal line) right after the first incline. The first one is eliminated as the boy takes a bath which requires another constant point in the graph.
19.
C
E
D
A
B
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Define the numbers
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Let the first even number be x
1st even number = x
2nd even number = x + 2
3rd even number = x + 4
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Form the equation and solve
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x + x + 2 + x + 4 = -6
3x + 6 = -6
3x = - 12
x = -4
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Find the numbers
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1st even number = x = -4
2nd even number = x + 2 = -4 + 2 = -2
3rd even number = x + 4 = -4 + 4 = 0
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Answers: The numbers are -4, -2 and 0
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