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dexar [7]
2 years ago
11

Simplify the expression. (x1/8 y1/4)2

Mathematics
1 answer:
Irina18 [472]2 years ago
4 0

Answer:

Step-by-step explanation:

C) x1/4y1/2

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Nataliya [291]

Answer:

Volume of original toolbox = 180 in³

Yes, doubling one dimension only would double the volume of the toolbox.

Step-by-step explanation:

Volume = L x W x H

10 x 6 x 3 = 180 in³

proof:

double length = 20 x 6 x 3 = 360 in³, which is double the original

double width = 10 x 12 x 3 = 360 in³, which is double the original

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almond37 [142]

The answer is D, (1/3, 4).

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torisob [31]

Answer:

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3 years ago
Inverse this matrix
SIZIF [17.4K]
In order for the inverse to exist, the matrix cannot be singular, so we need to first examine the conditions for existence of the inverse.

Compute the determinant. The easiest way might be a cofactor expansion along either the first row or third column; I'll do the first.

\begin{vmatrix}x&0&0\\0&1&0\\w&0&x\end{vmatrix}=x\begin{vmatrix}1&0\\0&x\end{vmatrix}=x^2

The matrix is then singular whenever x\neq0.

With this in mind, compute the inverse.

\mathbf A=\begin{bmatrix}x&0&0\\0&1&0\\w&0&x\end{bmatrix}\implies\mathbf A^{-1}=\dfrac1{x^2}\begin{bmatrix}a&0&-w\\0&-x^2&0\\0&0&x\end{bmatrix}=\begin{bmatrix}\frac a{x^2}&0&-\frac w{x^2}\\0&-1&0\\0&0&\frac1x\end{bmatrix}
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