Help for 10 points!

Mathematics

2 answers:

Arturiano [62]3 years ago

5 0

Answer:

Step-by-step explanation:

[Q-R]+[S-T] =[(7m+3n)-(11-2m)]+[(n+5)-(-m-3n+8)]=

=[7m+3n-11+2m] + [n+5+m+3n-8]=[9m+3n-11] + [4n+m - 3]=

=9m+3n-11+4n+m-3=10m + 7n - 14

jok3333 [9.3K]3 years ago

3 0

Answer:

Step-by-step explanation:

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Ellie runs 5/6 mile in 10 minutes.what is ellie's speed in miles per minute?

olganol [36]

Answer:

1/12 miles/minute

Step-by-step explanation:

To figure out how fast ellie runs in 1 minute, we can set up this equation:

5/6 = 10x (x being the speed per minute)

We can divide both sides by 10

5/60 = x

Then simplify the fraction to get:

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4 0

3 years ago

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

Lisa [10]

Answer:

$(AB)^T = B^T.A^T (Proved)$

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.

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