Answer:
y = 18
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
y = 2x + 12
x = 3
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em>: y = 2(3) + 12
- Multiply: y = 6 + 12
- Add: y = 18
Answer:
(7w - k)(4x + y)
Step-by-step explanation:
Factor by grouping is best for this expression. To factor by grouping, group pairs of terms with parenthesis. Then find the GCF in each pair. If the parenthesis match after, the factoring is complete.
28xw + 7wy - 4kx - ky
(28xw + 7wy) + (- 4kx - ky)
7w(4x + y) - k (4x + y)
The factors are (7w - k)(4x + y).
Given expression in exponential form : 
.
We need to convert it into radical form.
<em>Please note: When we convert an exponential to radical form, the top number goes in the exponent of the term and bottom number of the fraction goes in the radical sign to make it nth radical.</em>
We can apply following rule:
![(a)^{\frac{m}{n}}= \sqrt[n]{x^m}](https://tex.z-dn.net/?f=%28a%29%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%3D%20%5Csqrt%5Bn%5D%7Bx%5Em%7D)
.
Therefore,
![a^{\frac{4}{9} }= \sqrt[9]{a^4}](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7B4%7D%7B9%7D%20%7D%3D%20%5Csqrt%5B9%5D%7Ba%5E4%7D)
.
Therefore, correct option is : D. ninth root of a to the fourth power.
<span>A chord to a circle is any straight line which starts from one point on the circumference to another. For the given circle, the chords of the circle are AD and BE. Therefore, the correct option from the options is option B.Hope I helped! :) Cheers!</span>
