Answer:
x Superscript 9 Baseline (RootIndex 3 StartRoot y EndRoot)
OR x^9/(∛y)
Step-by-step explanation:
Given the indicinal equation
(x^27/y)^1/3
To find the corresponding expression, we will simplify the equation as shown:
(x^27/y)^⅓
= (x^27)^⅓/y⅓
= {x^(3×9)}^⅓/y⅓
= x^9/y⅓
= x^9/(∛y)
The right answer is x Superscript 9 Baseline (RootIndex 3 StartRoot y EndRoot)
Sin32.23= 8/15. This is the answer. I checked on the calculator
Answer:
x = 40.7057°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Trigonometry</u>
- [Right Triangle Only] sin∅ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
We have a right triangle. We can use trig to find the angle.
<u>Step 2: Identify Variables</u>
Angle = <em>x</em>
Opposite = 15
Hypotenuse = 23
<u>Step 3: Find Angle </u><em><u>x</u></em>
- Substitute: sinx° = 15/23
- Inverse: x° = sin⁻¹(15/23)
- Evaluate: x = 40.7057°
3(2x-4)=2(x+4)
6x-12=2x+8
6x-2x=8+12
4x=20
x=20/4
x=5
(3, –2) and (6, 2)First, we must establish slope...m=(y-y1)/(x-x1)m=(-2-2)/(3-6)m=-4/-3m=4/3Point slope formula is...y-y1=m(x-x1)Let's select either coordinate. I randomly select the first (3, –2)...y--2=4/3(x-3)Subtracting a negative number is the same as adding a positive number...y+2=4/3(x-3)This corresponds to the first answer.Standard form...Ax+By=Cy+2=(4/3)x-4y=(4/3)x-6-(4/3)x+y=-6Multiply both sides by 3...-4x+3y=-18This also corresponds to the first answer. How about the second coordinate, (6, 2)...y-y1=m(x-x1)y-2=(4/3)(x-6)Let's convert it into standard form..y-2=(4/3)x-8y=(4/3)x-6-(4/3)x+y=-6Multiply both sides by 3...-4x+3y=-18
