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Ksenya-84 [330]
3 years ago
9

The model shows the area (in square units) of each part of a rectangle. Use the model to find missing values that complete the e

xpression.
A drawing shows two adjacent rectangles of equal height. The area of the larger rectangle is labeled 48 and the area of the smaller rectangle is labeled 32. The height and the top length of each of the rectangles are marked with a question mark.

48 + 32 =
( + )
Mathematics
1 answer:
Alika [10]3 years ago
6 0
The answer would at least be 75
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Please help me with this.
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Swapping rows alters the sign of the determinant:

\begin{vmatrix} x & y & z \\ -8 & 2 & -12 \\ u & v & w \end{vmatrix} = - \begin{vmatrix} x & y & z \\ u & v & w \\ -8 & 2 & -12 \end{vmatrix}

Multiplying a single row by a scalar scales the determinant by the same amount:

\begin{vmatrix} x & y & z \\ u & v & w \\ -8 & 2 & -12 \end{vmatrix} = -2 \begin{vmatrix} x & y & z \\ u & v & w \\ 4 & -1 & 6 \end{vmatrix}

Then

\begin{vmatrix} x & y & z \\ -8 & 2 & -12 \\ u & v & w \end{vmatrix} = -(-2) \begin{vmatrix} x & y & z \\ u & v & w \\ 4 & -1 & 6 \end{vmatrix} = 2\times(-6) = \boxed{-12}

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