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Alisiya [41]
2 years ago
10

What number should be added to the expression x2 + 12x to change it into a perfect square trinomial? (a.6 ( b.18 (c.12 (d.36

Mathematics
1 answer:
dlinn [17]2 years ago
3 0
Hello : 
x²+12x =x²+2(6)(x)
            = x²+2(6)(x) +6²-6²
            = (x-6)² -6²........ (answer : d ; 36)
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The answer is below

Step-by-step explanation:

Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.

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Also, he spent a total of $302, hence:

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Represent equations 1, 2 and 3 in matrix form gives:

\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] ^{-1} \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}6\\18\\23\end{array}\right]

Therefore he purchases 6 small hats, 18 medium hats and 23 large hats

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