You have to turn the whol number back into an improper fraction, then you do what you would regulary do with the division of fractions.
Answer:
(a + b + 2c)(a² + 2ab + b² - 2ac - 2bc + 4c²)
Step-by-step explanation:
Given
(a + b)³ + 8c³ ← this is a sum of cubes and factors in general as
a³ + b³ = (a + b)(a² - ab + b²)
Thus
(a + b)³ + 8c³
= (a + b)³ + (2c)³
= (a + b + 2c)( (a + b)² - 2c(a + b) + (2c)² )
= (a + b + 2c)(a² + 2ab + b² - 2ac - 2bc + 4c²)
Answer:
x = √39
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Identify</u>
Leg <em>a</em> = <em>x</em>
Leg <em>b</em> = 5
Hypotenuse <em>c</em> = 8
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [PT]: x² + 5² = 8²
- Isolate <em>x</em> term: x² = 8² - 5²
- Exponents: x² = 64 - 25
- Subtract: x² = 39
- Isolate <em>x</em>: x = √39
Answer:
0.75 Miles
Step-by-step explanation:
To find the answer we have to find the difference in the distance the train and car travelled
65/60 is 1.083333 which is miles per minute then multiplied by 3 is 3.25 mile gone in 3 minutes
For the train it is 50/60 which is 0.833333 and the times 3 is 2.5 miles in three minutes
3.25 miles minus 2.5 miles is 0.75 miles so that is how long the train is
Answer:
a) 0.86602540378
b) 0.70710678118
c) 0.57735026919
Step-by-step explanation:
