Answer:
C
Step-by-step explanation:
Cause C met the rules of scientific notation which is:
- (First digit of the number) followed by (the decimal point) and then (all the rest of digits of the number) times (10 to an appropriate power)
Answer:
![=(x^2-3)(x^2-2)](https://tex.z-dn.net/?f=%3D%28x%5E2-3%29%28x%5E2-2%29)
Step-by-step explanation:
So we have the expression:
![x^4-5x^2+6](https://tex.z-dn.net/?f=x%5E4-5x%5E2%2B6)
And we wish to factor it.
First, let's make a substitution. Let's let u be equal to x². Therefore, our expression is now:
![=u^2-5u+6](https://tex.z-dn.net/?f=%3Du%5E2-5u%2B6)
This is a technique called quadratic u-substitution. Now, we can factor in this form.
We can use the numbers -3 and -2. So:
![=u^2-2u-3u+6](https://tex.z-dn.net/?f=%3Du%5E2-2u-3u%2B6)
For the first two terms, factor out a u.
For the last two terms, factor out a -3. So:
![=u(u-2)-3(u-2)](https://tex.z-dn.net/?f=%3Du%28u-2%29-3%28u-2%29)
Grouping:
![=(u-3)(u-2)](https://tex.z-dn.net/?f=%3D%28u-3%29%28u-2%29)
Now, substitute back the x² for u:
![=(x^2-3)(x^2-2)](https://tex.z-dn.net/?f=%3D%28x%5E2-3%29%28x%5E2-2%29)
And this is the simplest form.
And we're done!
<h2>Answer:</h2>
![10.\text{ Option B is correct}](https://tex.z-dn.net/?f=10.%5Ctext%7B%20Option%20B%20is%20correct%7D)
<h2>Explanation:</h2>
Given the equation expressed as:
![2x+5=8x](https://tex.z-dn.net/?f=2x%2B5%3D8x)
First, we need to calculate the value of "x" from the given expression.
Step 1: Given the equation 2x + 5 = 8x
Step 2: Subtract 5 from both sides:
![\begin{gathered} 2x+5-5=8x-5 \\ 2x+\cancel{5}-\cancel{5}=8x-5 \\ 2x=8x-5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%202x%2B5-5%3D8x-5%20%5C%5C%202x%2B%5Ccancel%7B5%7D-%5Ccancel%7B5%7D%3D8x-5%20%5C%5C%202x%3D8x-5%20%5Cend%7Bgathered%7D)
Step 3: Subtract 8x from both sides
![\begin{gathered} 2x-8x=8x-8x-5 \\ -6x=\cancel{8x}-\cancel{8x}-5 \\ -6x=-5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%202x-8x%3D8x-8x-5%20%5C%5C%20-6x%3D%5Ccancel%7B8x%7D-%5Ccancel%7B8x%7D-5%20%5C%5C%20-6x%3D-5%20%5Cend%7Bgathered%7D)
Step 4: Divide both sides by -6
![\begin{gathered} \frac{-6x}{-6}=\frac{-5}{-6} \\ x=\frac{5}{6} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B-6x%7D%7B-6%7D%3D%5Cfrac%7B-5%7D%7B-6%7D%20%5C%5C%20x%3D%5Cfrac%7B5%7D%7B6%7D%20%5Cend%7Bgathered%7D)
Step 5: Get the value of 12x. Substitute x = 5/6 into the expression to have:
![\begin{gathered} 12x=12(\frac{5}{6}) \\ 12x=\cancel{12}^2(\frac{5}{\cancel{6}^1}) \\ 12x=2\times5 \\ 12x=10 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2012x%3D12%28%5Cfrac%7B5%7D%7B6%7D%29%20%5C%5C%2012x%3D%5Ccancel%7B12%7D%5E2%28%5Cfrac%7B5%7D%7B%5Ccancel%7B6%7D%5E1%7D%29%20%5C%5C%2012x%3D2%5Ctimes5%20%5C%5C%2012x%3D10%20%5Cend%7Bgathered%7D)
Therefore the value of 12x is 10
The answer is true because they both have the 90 degree box and a mark in the line indicating they are the same length.
Answer:
where is the figure?
Step-by-step explanation: