Answer:
x = 4√5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
Leg <em>a</em> = 8
Leg <em>b</em> = 4
Hypotenuse <em>c</em> = <em>x</em>
<em />
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [Pythagorean Theorem]: 8² + 4² = x²
- Evaluate exponents: 64 + 16 = x²
- Add: 80 = x²
- [Equality Property] Square root both sides: √80 = x
- Rewrite: x = √80
- Simplify: x = 4√5
Answer:
c 2
Step-by-step explanation:
h/3 + h/6 =1
Multiply both sides by 6 to eliminate the fractions
6(h/3+h/6) = 1*6
2h +h =6
Combine like terms
3h = 6
Divide by 3
3h/3 = 6/3
h =2
2 hours
Answer:
5 g
Step-by-step explanation:
Answer:
Exactly two distinct zeros
Step-by-step explanation:
y = 2(x-1) (x + 4)
Plug y = 0
0 = 2(x-1) (x + 4)
0/2 = (x-1) (x + 4)
(x-1) (x + 4) = 0
(x-1) = 0 or (x + 4)= 0
x = 1 or x = - 4
Here, x has two distinct roots, therefore given quadratic relation has Exactly two distinct zeros.
