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lina2011 [118]
3 years ago
13

Original price of a sofa: $620.00 Discount: 25%, Selling Price?

Mathematics
1 answer:
Aleks [24]3 years ago
3 0

Answer:

x=155

Step-by-step explanation:

I hope the pictures are clear and you get the concept!

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Prove the theorem (AB )^T= B^T. A^T
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Answer:

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Step-by-step explanation:

Given  (AB )^T= B^T. A^T;

To prove this expression, we need to apply multiplication law, power law and division law of indices respectively, as shown below.

(AB)^T = B^T.A^T\\\\Start, from \ Right \ hand \ side\\\\B^T.A^T = \frac{B^T.A^T}{A^T}.\frac{B^T.A^T}{B^T} (multiply \ through) \\\\                = \frac{A^{2T}.B^{2T}}{A^T.B^T} \\\\=\frac{(AB)^{2T}}{(AB)^T} \ \ (factor \ out \ the power)\\\\= (AB)^{2T-T}  \ (apply \ division \ law \ of \ indices; \ \frac{x^a}{x^b} = x^{a-b})\\\\= (AB)^T \ (Proved)

3 0
3 years ago
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