Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra II</u>
- Distance Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
Point (-4, -6)
Point (8, -10)
<u>Step 2: Find distance </u><em><u>d</u></em>
Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>
- Substitute [DF]:

- Add:

- Exponents:

- Add:

- Simplify:

- Evaluate:

- Round:

Answer:
2/8 of the 3/8 is in the 1/4
Vertex = -b/2a = -(44)/2(-1) = -44/-2 = 22
To find the x-intercepts, set the function equal to 0 and solve for x
Answer:
D. The work shown above is correct and
may not be simplified further.
Step-by-step explanation:
The expression is given as,
![\sqrt[6]{x^{13}}=\sqrt[6]{x^{6}\times x^{7}}](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7Bx%5E%7B13%7D%7D%3D%5Csqrt%5B6%5D%7Bx%5E%7B6%7D%5Ctimes%20x%5E%7B7%7D%7D)
i.e. ![\sqrt[6]{x^{13}}=x\times \sqrt[6]{x^{7}}](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7Bx%5E%7B13%7D%7D%3Dx%5Ctimes%20%5Csqrt%5B6%5D%7Bx%5E%7B7%7D%7D)
Then, ![\sqrt[6]{x^{13}}=x\times \sqrt[6]{x^{7}}](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7Bx%5E%7B13%7D%7D%3Dx%5Ctimes%20%5Csqrt%5B6%5D%7Bx%5E%7B7%7D%7D)
Thus, we can see that above calculation is correct.
The right side of step 2 gives, ![\sqrt[6]{x^{6}\times x^{7}}=(x^{6})^\frac{1}{6}\times (x^{7})^\frac{1}{6}=x\times \sqrt[6]{x^{7}}](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7Bx%5E%7B6%7D%5Ctimes%20x%5E%7B7%7D%7D%3D%28x%5E%7B6%7D%29%5E%5Cfrac%7B1%7D%7B6%7D%5Ctimes%20%28x%5E%7B7%7D%29%5E%5Cfrac%7B1%7D%7B6%7D%3Dx%5Ctimes%20%5Csqrt%5B6%5D%7Bx%5E%7B7%7D%7D)
So, the work shown is correct and
may not be further simplified.
Hence, option D is correct.
12 because 24 is the diameter and the radius is half the diameter