Answer:
The correct prove will be:
Step-by-step explanation:
Multiply and Divide by 
= 
⇒ Let 
= Ф and 7Ф = 
= sin2Ф sin3Ф sin5Ф ÷ 2cosФ
= 1/2(2sin2Фsin5Ф)sin3Ф ÷ 2cosФ
= (cos3Ф - cos7Ф) sin3Ф ÷ 4cosФ
= 1/2(2cos3Ф sin3Ф) ÷ 4cosФ ∵cos7Ф = 0
= sin6Ф ÷ 8cosФ
= sin(7Ф - Ф) ÷ 8cosФ
= (sin7ФcosФ - cos7ФsinФ) ÷ 8cosФ ∵sin7Ф = 1
= cosФ ÷ 8cosФ
= 1/8
Hence, The correct prove will be:
Keywords: prove, sinФ, cosФ
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There is 14 green marbles because
2/5 = 16 blue marbles
1/4 = 10 red marbles so 16+10= 26 & 40-26=14
Start by expanding the left hand side:
which leads to
Now we want to move all terms involving the variable to the left hand side, and all constant terms on the right hand side:
Simplify both sides by summing like terms:
Divide both sides by -8 to solve for x:
Answer:
m = -3, n = 1
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
3m - n = -10
2m + n = -5
<u>Step 2: Solve for </u><em><u>m</u></em>
<em>Elimination</em>
- Combine equations: 5m = -15
- Divide 5 on both sides: m = -3
<u>Step 3: Solve for </u><em><u>n</u></em>
- Define equation: 3m - n = -10
- Substitute in <em>m</em>: 3(-3) - n = -10
- Multiply: -9 - n = -10
- Add 9 to both sides: -n = -1
- Divide -1 on both sides: n = 1
