Ask question

Ask question

All categories

2 years ago

6

Help

1 answer:

aniked [119]2 years ago

5 0

Answer:

39.3%

Step-by-step explanation:

You might be interested in

Frances walks 15 km west, then turns 90 degrees north and walks 30 km.

Mila [183]

Distance and displacement are 45 km

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7Bx%20%5Csqrt%7Bx%20%5Csqrt%7Bx%20%5Csqrt%7Bx....%7D%20%7D%20%7D%20%7D%20%20%3D%20%

andrey2020 [161]

First observe that if $a+b>0$ ,

$(a + b)^2 = a^2 + 2ab + b^2 \\\\ \implies a + b = \sqrt{a^2 + 2ab + b^2} = \sqrt{a^2 + ab + b(a + b)} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b(a+b)}} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b(a+b)}}} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{\cdots}}}}$

Let $a=0$ and $b=x$ . It follows that

$a+b = x = \sqrt{x \sqrt{x \sqrt{x \sqrt{\cdots}}}}$

Now let $b=1$ , so $a^2+a=4x$ . Solving for $a$ ,

$a^2 + a - 4x = 0 \implies a = \dfrac{-1 + \sqrt{1+16x}}2$

which means

$a+b = \dfrac{1 + \sqrt{1+16x}}2 = \sqrt{4x + \sqrt{4x + \sqrt{4x + \sqrt{\cdots}}}}$

Now solve for $x$ .

$x = \dfrac{1 + \sqrt{1 + 16x}}2 \\\\ 2x = 1 + \sqrt{1 + 16x} \\\\ 2x - 1 = \sqrt{1 + 16x} \\\\ (2x-1)^2 = \left(\sqrt{1 + 16x}\right)^2$

(note that we assume $2x-1\ge0$ )

$4x^2 - 4x + 1 = 1 + 16x \\\\ 4x^2 - 20x = 0 \\\\ 4x (x - 5) = 0 \\\\ 4x = 0 \text{ or } x - 5 = 0 \\\\ \implies x = 0 \text{ or } \boxed{x = 5}$

(we omit $x=0$ since $2\cdot0-1=-1\ge0$ is not true)

3 0

1 year ago

What is the solution to this equation? 2x + 3 = x - 4

AfilCa [17]

Answer:

Step-by-step explanation:

First, isolate the variables onto one side of the equation.

2x + 3 = x - 4

(subtract x)

x + 3 = -4

Then, remove any remaining numbers.

(subtract 3)

x = -7

I hope this helps!

6 0

3 years ago

Solve the problem 6=-w/8<br> The slash means it is a fraction.

guapka [62]

48/8 can equal 6. I hope this helps!

7 0

3 years ago

Will give you 300 Brainley points please help

Dennis_Churaev [7]

Answer

Theair no error because theair the answer ni the steps And all its ok

Step-by-step explanation:

6 0

2 years ago