Answer:
Step-by-step explanation:
2x^2+5x-4=0
x = [-5 ± √(5^2-4(2)(-4))]/[2(2)]
= [-5 ± √57]/4
= -1.25+0.25√57, -1.25-0.25√57
Answer:
71.6
Step-by-step explanation:
c= 2(pi)r
c= 2(3.14)(11.4)
c=71.592
c= 71.6
Answer:
307°
Step-by-step explanation:
The sum of all the angles of a hexagon is equal to 900°.
So,
112+x+120+100+128+133 = 900
593+x = 900
x = 900-593
x = 307°
So, the value of x is equal to 307°.
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Standard Form: ax² + bx + c = 0
- Quadratic Formula:

<u>Algebra II</u>
Step-by-step explanation:
<u>Step 1: Define function</u>
f(x) = -x² - 6x - 14
<u>Step 2: Set up</u>
- Set equation equal to 0: -x² - 6x - 14 = 0
- Factor out -1: -(x² + 6x + 14) = 0
- Divide both sides by -1: x² + 6x + 14 = 0
<u>Step 3: Define variables</u>
a = 1
b = 6
c = 14
<u>Step 4: Find roots</u>
- Substitute:

- Exponents:

- Multiply:

- Subtract:

- Factor:

- Simplify:

- Factor:

- Divide:

Answer:
√3 is the answer
Step-by-step explanation:
the value of tan60 is √3