Answer:

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] SOHCAHTOA
- [Right Triangles Only] cosθ = adjacent over hypotenuse
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
Angle θ = 30°
Adjacent Leg = <em>x</em>
Hypotenuse = 8
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [cosine]:

- [Multiplication Property of Equality] Isolate <em>x</em>:

- Rewrite:

- Evaluate:

Answer: 12+w
Step-by-step explanation:
To solve, simply layout an equation.
(2x+3)(x+4)=1
Step 1: Simplify both sides of the equation.
2x2+11x+12=1
Step 2: Subtract 1 from both sides.
2x2+11x+12−1=1−1
2x2+11x+11=0
Step 3: Use quadratic formula with a=2, b=11, c=11.
x=-b±√b^2-4ac/2a
So, the answer for this problem is:
x=-11/4+1/4√33 or -11/4+-1/4√33
Answer:
Step-by-step explanation:
I will give you equations in slope intercept form
1.
y=-x-1
2.
y= -2x - 6
Answer:
24.27 cm
Step-by-step explanation:
sin 65 degrees = 22/x, so:
1 x
------------------ = ------
sin 65 deg 22
so x = 22 / (sin 65 deg) = 22/0.906 = 24.27 cm