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3 years ago

Question 1:

Mathematics

2 answers:

Rudiy273 years ago

8 0

Answer:

Answer 1.)

⇒ 4x - 15 + 2x = x +20

⇒ 6x -15 = x +20

⇒ 5x = 35

⇒ x = 7

Answer 2.)

⇒ 2(2x−5)=20−x

⇒ 4x - 10 = 20 - x

⇒ 5x = 30

⇒ x = 6

Answer 3.)

⇒ 3−4x=10x+10

⇒ 14x = -7

⇒ x = -1/2

Answer 4.)

⇒ 4(2x−1)=−10(x−5)

⇒ 8x - 4 = -10x + 50

⇒ 18x = 54

⇒ x = 3

Answer 5.)

⇒ 5/3 = 6/x + 2

⇒ x = -18

Answer 6.)

⇒ x - 7/5 = -3

⇒ x = -8/5

Answer 7.)

⇒ 4/5x - 3 = 2/3x + 5

⇒ 12x - 10x = 120

⇒ x = 60

Answer 8.)

⇒ 6x − 3 = 2 + 4x − 11

⇒ 2x = -6

⇒ x = -3

Answer 9.)

⇒ 3 − (4−x) = 5 + 3(x−4)

⇒ 3 - 4 + x = 5 + 3x - 4

⇒ -1 + x = 1 +3x

⇒ x = -1

Answer 10.)

⇒ 10 + 5x − 2 = 2 − 3x + 6

⇒ 8 + 5x = 8 - 3x

⇒ x = 0

Roman55 [17]3 years ago

3 0

Answer:

1. x=7

2.x=6

3.x= -1/2

4.x=3

5.x=-18

6.x= -8/5

7. x=60

8. x=-3

9. x=3

10. x=0

Step-by-step explanation:

did them as fast i could

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Can someone help me with these and show the work also?

Snezhnost [94]

QUESTION:

Simplify each expression

ANSWER:

1.) $\green{{- 8n}}$

2.) $\green{{- 2b - 60}}$

3.) $\green{{- 10x - 14}}$

4.) for number 4 study my step-by-step explanation so you can answer that

STEP-BY-STEP EXPLANATION:

1.) First, If the term doesn't have a coefficients, it is considered that the coefficients is 1

WHY?

Learn why:

Why is it considered that the coefficient is 1?

Remember that any term multiplied by $\blue{{1}}$ remains the same :

$\blue{{1}}$ ${× x = x}$

Step 1:

The equality can be read in the other way as a well, so any term can be written as a product of $\blue{{1}}$ and itself:

${x = }$ $\blue{{1}}$ ${× x}$

Step 2:

Usually, we don't need to write multiplacation sign between the coefficient and variable, so the simple form is:

${x = 1x}$

This is why we can write the term without the coefficient as a term with coefficient ${1}$

Now let's go back to solving as what i said if a term doesn't have a coefficient, it is considered that the coefficient is 1

${n - 9n}$

$\red{{1}}$ ${n -9n}$

Second, Collect like terms by subtracting their coefficients

$\red{{1n - 9n}}$

$\red{{( 1 - 9)n}}$

Third, Calculate the difference

how?

Keep the sign of the number with the larger absolute value and subtract the smaller absolute value from larger

$\red{{1 - 9}}$

$\red{{- (9 - 1)}}$

Subtract the numbers

- ( $\red{{9 - 1}}$ )n

- $\red{{8}}$ n

$\green{\boxed{- 8n}}$

2.) First, Distribute - 6 through the parentheses

how?

Multiply each term in the parentheses by - 6

$\red{{- 6(b + 10)}}$

$\red{{- 6b - 6 × 10}}$

Multiply the numbers

- ${6b}$ - $\red{{6 × 10}}$

- ${6b}$ - $\red{{60}}$

Second, Collect like term

how?

Collect like terms by calculating the sum or difference of their coefficient

$\red{{- 6b + 4b}}$

$\red{{(- 6 + 4)b}}$

Calculate the sum

$\red{{(- 6 + 4)}}$ b

$\red{{-2}}$ b

$\green{\boxed{- 2b - 60}}$

3.) First, Distribute 2 through parentheses

how?

Multiply each term in the parentheses by 2

$\red{{2(x - 5)}}$

$\red{{2x - 2 × 5}}$

Multiply the numbers

${2x -}$ $\red{{2 × 5}}$

${2x -}$ $\red{{10}}$

Second, Distribute - 4 through the parentheses

how?

Multiply each term in the parentheses by - 4

$\red{{- 4(3x + 1)}}$

$\red{{- 4 × 3x - 4}}$

Calculate the product

- $\red{{4 × 3}}$ x - 4

- $\red{{12}}$ x - 4

Third, Collect like terms

how?

Collect like terms by subtracting their coefficient

$\red{{2x - 12x}}$

$\red{{(2 - 12)x}}$

Calculate the difference

$\red{{(2 - 12)}}$ x

$\red{{- 10}}$ x

Fourth, Calculate the difference

how?

Factor out the negative sign from the expression

$\red{{- 10 - 4}}$

$\red{{- (10 + 4)}}$

Add the numbers

- ( $\red{{10 + 4}}$ )

- $\red{{14}}$

$\green{\boxed{- 10x - 14}}$

That's all I know sorry but I hope it helps :)

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BartSMP [9]

Answer:

The answer to your question is: y = -3x + 14

Step-by-step explanation:

Data

A (4, 2)

y = x/3 - 1

Perpendicular

original slope = 1/3

perpendicular slope = -3

Equation (y - y1) = m(x - x1)

(y - 2) = -3(x - 4)

y - 2 = -3x + 12

y = -3x + 12 + 2

y = -3x + 14

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