1 )
1st and 2nd equation (multiply 1st by -2 ):
-2x - 10 y + 8 z = 20
2 x - y + 5 z = -9
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- 11 y + 13 z = 11 / * ( -20 )
1st and 3rd:
- 2 x - 10 y + 8 z = 20
2 x - 10 y - 5 z = 0
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- 20 x + 3 z = 20 / * 11
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220 y - 260 z = -220
- 220 y + 33 z = 220
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z = 0, y = -1, x = - 5
2 )
2 x - y + 5 = -4
- 2 x + 3 y - 5 = - 10
Substitution: y = 2 x + 9
- 2 x + 3(2 x + 9 ) = -5
4 x = - 32, x = -8, y = -7, z = 5
3 )
x + y + z = 11
1.5 x+3 y +1.5 z = 21
x = 2 y
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3 y + z = 11 / * (-2)
6 y + 1.5 z = 21
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- 6 y - 2 z = -22
6 y + 1.5 z = 21
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-0.5 z = -1, z = 2, y = 3, z = 6
Answer: the store used 6 pounds of peanuts, 3 pounds of almonds and 2 pounds of raisins.
Answer:
D. x=12
Step-by-step explanation:
Add 17 to the other side of the equal sign
x=17+5
Then add 17 and -5
X=12
Answer:
4*64=256
256+1=256
there fore 64 1/4 is equivalent to 257/4
I am going to assume that x2 = x squared
So: X^2 + 3x -40
= (X+8)(X-5)=0
X+8 = 0
X= - 8
The other solution is X -5 = 0
X = 5
Therefore the solution set is {-8, 5}
We determine that the correct choice is: B. The length of 
must be equal to the length of 
.
Vectorially speaking, any point is translated by means of the following formula:
(1)
Where:
- Original point.
- Translated point.
- Translation vector.
Since the entire quadrilateral is translated the same distance, then the length of is equal to the length of . Hence, the correct choice is B.
We kindly invite to see this question on translations: brainly.com/question/12463306
