Answer:
-2 1/4z +1/4
Step-by-step explanation:
3/4 - 4z +5/4 z- 1/2 + 1/2 z
Put like terms near each other
3/4- 1/2 - 4z +5/4 z+ 1/2 z
We need to get common denominators to combine
First the constant terms
3/4 - 1/2*2/2
3/4 - 2/4 = 1/4
Then the variable terms
-4z *4/4 +5/4z + 1/2z *2/2
-16z/4 + 5/4z +2/4z
-9/4z
Changing from an improper fraction to a mixed number
-2 1/4 z
-2 1/4z +1/4
Answer:
4-9y^2
Step-by-step explanation:
(2+3y)(2-3y)
2*2
2*-3y
3y*2
3y*-3y
4-6y+6y-9y^2
4-9y^2
Answer:
20 inches
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 Triangle Only] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Define</u>
Leg <em>a</em> = <em>x</em>
Leg <em>b</em> = 48
Hypotenuse <em>c</em> = 52
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [PT]: x² + 48² = 52²
- Isolate <em>x</em> term: x² = 52² - 48²
- Exponents: x² = 2704 - 2304
- Subtract: x² = 400
- Isolate <em>x</em>: x = 20