If N is parallel to M find the value of x and the value of z.

Simplify this equation 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 power is odd .

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

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

Hence the required answer is (-1) .

4 0

3 years ago

Pls help easy i thinkk

soldi70 [24.7K]

Answer:

1 1/2 miles

Step-by-step explanation:

if running 1 lap around a track is 1/2 miles then all we have to do is add it up

so we know that 1/2 miles is one lap

so if he runs two laps we would have run 1 mile

now that we know that he would have ran 1 mile in 2 laps then all we have to do it just add 1 more 1/2 mile in which would give u the answer of 1 1/2 miles or 1.5 miles

4 0

2 years ago

Read 2 more answers

PLEASE HELP ASAP!! WILL GIVE POINTS AND MARK BRAINLIEST!!!!!

Korvikt [17]

meme break

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6 0

3 years ago

Nathaniel is using the quadratic formula to solve 0 = x2 + 5x - 6. His steps are shown below. Table showing 3 steps to solve an

shutvik [7]

Answer:

$\underline{x\in\left\{-6\,,\ 1\right\}}$

Step-by-step explanation:

$x^2+5x-6=0\\\\a=1\,,\ \ b=5\,,\ \ c=-6\\\\x_1=\dfrac{-5-\sqrt{5^2-4\cdot1\cdot(-6)}}{2\cdot1}=\dfrac{-5-\sqrt{25+24}}2=\dfrac{-5-\sqrt{49}}2=\dfrac{-5-7}2=-6\\\\x_2=\dfrac{-5+\sqrt{5^2-4\cdot1\cdot(-6)}}{2\cdot1}=\dfrac{-5+7}2=1$

3 0

3 years ago

marcos has a coin collection. His collection started with 25 coins. He adds 8 coins to his collection every month. Based on this

avanturin [10]

Answer: G does not show the relationship

Step-by-step explanation:

x is the number of months and he originally had 25 coins. The correct representation of this equation would be y=8x+25 since he adds 8 coins every month. So, G does not show the relationship.

8 0

3 years ago