3 years ago

EXPERTS/ACE/TRUSTED HELPERS

Mathematics

1 answer:

LekaFEV [45]3 years ago

3 0

The sign of each Y coordinate changed

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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.

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

3 0

3 years ago

What is the value of x in the equation 4x+8y=40 when y=0.8

GREYUIT [131]

Substitute in 0.8 for y.

$4x+8y=40 \\ \\ 4x + 8(0.8) = 40 \\ \\ 4x + 6.5 = 40 \\ \\ 4x = 40 - 6.4 \\ \\ 4x = 33.6 \\ \\ x = 8.4 \\ \\$

The final result is: x = 8.4.

3 0

3 years ago

Read 2 more answers

1) 17, 29, 32, 9, 30, 14, 8, 39, 11, 32, 23 Minimum : Maximum: Q1: Q2: Q3:

Lisa [10]

Answer:

Minimum: 8

Maximum: 39

Q1: 11

Q2: 23

Q3: 32

Step-by-step explanation:

Set the numbers into numerical order

8 9 11 14 17 23 29 30 32 32 39

Then separate into quarters

[8 9 11] [14 17 23] [29 30 32] 32 39

6 0

3 years ago

The three interior angle measures of this triangle are x = °, y = °, and z =

tankabanditka [31]

check the picture below.

recall that a flat-line is always 180°, and the sum of all interior angles in a triangle is 180°.

3 0

3 years ago

Which expression has the same value as 5(4x+4)

aev [14]

Answer: 20x + 20

Step-by-step explanation: In this problem, the 5 "distributes" through the parentheses, multiplying by each of the terms inside.

So we have 5(4x) + 5(4) which simplifies to 20x + 20.

8 0

3 years ago