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AleksandrR [38]
3 years ago
14

Determine if b is a linear combination of a1​, a2​, and a3. a1equals [Start 3 By 1 Matrix 1st Row 1st Column 1 2nd Row 1st Colum

n negative 3 3rd Row 1st Column 0 EndMatrix ]​, a2equals [Start 3 By 1 Matrix 1st Row 1st Column 0 2nd Row 1st Column 1 3rd Row 1st Column 3 EndMatrix ]​, a3equals [Start 3 By 1 Matrix 1st Row 1st Column 5 2nd Row 1st Column negative 5 3rd Row 1st Column 30 EndMatrix ]​, bequals [Start 3 By 1 Matrix 1st Row 1st Column 2 2nd Row 1st Column negative 3 3rd Row 1st Column 9 EndMatrix ]

Mathematics
1 answer:
liraira [26]3 years ago
3 0

Answer:

Step-by-step explanation:

Check attachment for solution

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Mallorie has $12 in her wallet. If this is 20% of her monthly allowance, what is her monthly allowance.​
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Answer:

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6 0
3 years ago
Find the value of k if: (2x − y)² − (2x + y)² = 4xyk​
Viefleur [7K]

Answer:

k = - 2

Step-by-step explanation:

( 2x - y )²

Formula : -

( a - b )² = a² + b² - 2ab

Here,

a = 2x

b = y

( 2x - y )²

= ( 2x )² + y² - 2 ( 2x ) ( y )

= 4x² + y² - 4xy

So,

( 2x - y )² = 4x² + y² - 4xy

( 2x + y )²

Formula : -

( a + b )² = a² + b² + 2ab

Here,

a = 2x

b = y

( 2x + y )²

= ( 2x )² + y² + 2 ( 2x ) ( y )

= 4x² + y² + 4xy

So,

( 2x + y )² = 4x² + y² + 4xy

( 2x - y )² - ( 2x + y )²

= 4x² + y² - 4xy - ( 4x² + y² + 4xy )

= 4x² + y² - 4xy - 4x² - y² - 4xy

= 4x² - 4x² + y² - y² - 4xy - 4xy

= 0 + 0 - 8xy

= - 8xy

( 2x - y )² - ( 2x + y )² = 4xyk

- 8xy = 4xyk

Divide 4xy on both sides,

- 8xy / 4xy = 4xyk / 4xy

- 2 = k

k = - 2

Therefore, the value of k is - 2.

6 0
2 years ago
Which could be the lengths of the
iVinArrow [24]
Answer:
D

Explanation:
When u try to find the lengths of a right triangle you use the formula c = √(a² + b²). When you use the formula you take your TWO smallest numbers which is 12.5 and 30 you would plug it in the formula and solve and when you solve you should get 32.5. I checked my answer on a calculator to make sure it was right so js look at the picture below : )

8 0
3 years ago
| 4. A rectangular piece of cloth has a
Romashka [77]
The answer would be 28 square inches because you would multiple the length (4 inches) and the width (7 inches) to each other.
3 0
3 years ago
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