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3 years ago

How does using a bar diagram help you in predicting the solution to ratio and rate problems

Mathematics

1 answer:

Ludmilka [50]3 years ago

8 0

It shows you how many of one thing to how many to another

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Simplify this equation <br> Thanks a lot!!!

den301095 [7]

Answer:

-1

Step-by-step explanation:

We need to simplify the given expression . The given expression is ,

$\rm\implies ( 2 \sqrt6 +5)^{2n-1} ( 2\sqrt6 - 5)^{2n-1}$

Here we can see that the power of the both exponent is same that is (2n+1) . Recall the property of exponents ,

$\bf\implies a^m \times b^m = (ab)^m$

Using this property , we have ,

$\rm\implies ( 2 \sqrt6 +5)^{2n-1} ( 2\sqrt6 - 5)^{2n-1}$

This can be written as ,

$\rm\implies\{( 2 \sqrt6 +5) ( 2\sqrt6 - 5)\}^{2n-1}$

Simplifying using ( a+b)(a-b) = a² - b² ,

$\rm\implies\{( 2 \sqrt6)^2 -5^2 \}^{2n-1}\\\\\rm\implies ( 24 - 25)^{2n-1}$

Subtracting the numbers inside the brackets ,

$\rm\implies (-1)^{2n - 1 }$

Now we know that every odd number is in the form of 2n -1 , where n is any integer. Therefore , the <u>power is odd</u> .

Since the base is (-1) , for even power it is 1 and for odd power it is -1 . Therefore the final answer is ,

$\rm\implies\boxed{\quad \red{ -1 }\quad }$

<u>Hence </u><u>the</u><u> </u><u>required</u><u> answer</u><u> is</u><u> </u><u>(</u><u>-</u><u>1</u><u>)</u><u> </u><u>.</u>

4 0

3 years ago

1. 12x^2 +2xy

brilliants [131]

Answer:

1. 12x^2 +2xy

Step-by-step explanation:

1. 12x^2 +2xy

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5. 2k^2+5k-3

6. -r^2-5r-6

7. 8y^2+26y+15

8. -2d^2-7d-5

9. (h+6)(h-4)=0

10. s^2-7s+12=0

11. -2d^2-7d-5

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3 years ago

What is the result of adding 2x+7y=4 and -2x-8y=-2

Anika [276]

Answer:

x = 2 + 3.5y

Step-by-step explanation:

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3 years ago

A farmer needs to construct a square fence with an area of 121 square feet to hold farm animals. How long does each side of the

erastovalidia [21]

11 on all sides
hope this helps

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3 years ago

State the postulate for each

asambeis [7]

Answer:

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2 years ago