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3 years ago

Solve the equation, 4 - (x + 1) = 6. x = -3 x = 3 x = -9 x = 9

Mathematics

2 answers:

erik [133]3 years ago

6 0

Answer:

The answer to your question is x = -3

Step-by-step explanation:

Equation 4 - (x + 1) = 6

- Subtract 4 in both sides

4 - (x + 1) - 4 = 6 - 4

- Simplify

- (x + 1) = 2

- Remove parentheses

- x - 1 = 2

-Add 1 to both sides

-x - 1 + 1 = 2 + 1

- Simplify

- x = 3

-Divide both sides by - 1

- x / -1 = 3 / - 1

- Simplify

x = -3

Vinvika [58]3 years ago

3 0

Answer:

Step-by-step explanation:

The negative in front of the parenthesis changes the signs of the numbers and variables inside the parenthesis. We can rewrite as

4 - x - 1 = 6 and

3 - x = 6 so

- x = 3 and

x = -3

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Solve by using square roots. 6x^2−27=39

Bingel [31]

Answer:

Simplifying

x = 11

Step-by-step explanation:

Simplifying

6x + -27 = 39

Reorder the terms:

-27 + 6x = 39

Solving

-27 + 6x = 39

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '27' to each side of the equation.

-27 + 27 + 6x = 39 + 27

Combine like terms: -27 + 27 = 0

0 + 6x = 39 + 27

6x = 39 + 27

Combine like terms: 39 + 27 = 66

6x = 66

Divide each side by '6'.

x = 11

Simplifying

x = 11

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3 years ago

If sec ⁡ θ = − 2 secθ=−2 and the reference angle of θ θ is 6 0 ∘ 60 ∘ , find both angles in degrees from 0 ∘ ≤ θ < 36 0 ∘ 0 ∘

jek_recluse [69]

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3 years ago

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Answer:

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Step-by-step explanation:

By looking at the sides of the triangles it can easily be seen that some of the sides match up. Side b is similar to the side of 11 and same with side a and the side of 3. Since one side is 16 and the other side on the smaller triangle is 8, the bigger triangle is twice as large than the smaller one. So 3 x 2 = 6 and 11 / 2 = 5.5

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soldi70 [24.7K]

Answer:

b. -84

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

$\displaystyle \frac{a}{-7} - 7 = 5$

Step 2: Solve for a

Addition Property of Equality: $\displaystyle \frac{a}{-7} - 7 + 7 = 5 + 7$
[Simplify] Add: $\displaystyle \frac{a}{-7}= 12$
Multiplication Property of Equality: $\displaystyle -7 \cdot \frac{a}{-7} = 12 \cdot -7$
[Simplify] Multiply: $\displaystyle a = -84$

Step 3: Check

Plug in a into the original equation to verify it's a solution.

Substitute in a: $\displaystyle \frac{-84}{-7} - 7 = 5$
[Frac] Divide: $\displaystyle 12 - 7 = 5$
Subtract: $\displaystyle 5 = 5$

Here we see that 5 does indeed equal 5.

∴ a = -84 is the solution to the equation.

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3 years ago