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wel
3 years ago
7

I need the answers pls!

Mathematics
1 answer:
Law Incorporation [45]3 years ago
3 0

Given:

The equation is

\dfrac{2a-4}{3}=8

To find:

The reason for second step.

Solution:

We have,

\dfrac{2a-4}{3}=8

Using multiplication property of equality, multiply both sides by 3.

3\left(\dfrac{2a-4}{3}\right)=3(8)

2a-4=24

Using addition property of equality, add 4 on both sides.

2a-4+4=24+4

2a=28

Using division property of equality, divide both sides by 2.

\dfrac{2a}{2}=\dfrac{28}{2}

a=14

So, the reason for second step is multiplication property (=).

Therefore, the correct option is D.

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12=5x-13x-44. answer it in multi-step equations
fomenos

12=5x-13x-44

combine like terms

12 = -8x -44

add 44 to each side

12+44 = -8x

56= -8x

divide by -8 on each side

56/-8 = x

-7 =x


5 0
3 years ago
Read 2 more answers
Factor the trinomial<br><br> x^2-9x+4x
8090 [49]

Answer:


Step-by-step explanation:

Simplifying

x2 + -9x = 4x + -4

Reorder the terms:

-9x + x2 = 4x + -4

Reorder the terms:

-9x + x2 = -4 + 4x

Solving

-9x + x2 = -4 + 4x

Solving for variable 'x'.

Reorder the terms:

4 + -9x + -4x + x2 = -4 + 4x + 4 + -4x

Combine like terms: -9x + -4x = -13x

4 + -13x + x2 = -4 + 4x + 4 + -4x

Reorder the terms:

4 + -13x + x2 = -4 + 4 + 4x + -4x

Combine like terms: -4 + 4 = 0

4 + -13x + x2 = 0 + 4x + -4x

4 + -13x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0

4 + -13x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-4' to each side of the equation.

4 + -13x + -4 + x2 = 0 + -4

Reorder the terms:

4 + -4 + -13x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0

0 + -13x + x2 = 0 + -4

-13x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4

-13x + x2 = -4

The x term is -13x.  Take half its coefficient (-6.5).

Square it (42.25) and add it to both sides.

Add '42.25' to each side of the equation.

-13x + 42.25 + x2 = -4 + 42.25

Reorder the terms:

42.25 + -13x + x2 = -4 + 42.25

Combine like terms: -4 + 42.25 = 38.25

42.25 + -13x + x2 = 38.25

Factor a perfect square on the left side:

(x + -6.5)(x + -6.5) = 38.25

Calculate the square root of the right side: 6.184658438

Break this problem into two subproblems by setting  

(x + -6.5) equal to 6.184658438 and -6.184658438.


8 0
3 years ago
Read 2 more answers
Identify the constant term in this expression. 25x + 9y + 20 + 2y
kvv77 [185]
20

Constant in a mathematical expression is a term whose value never changes.
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What is the solution to the following system of equations?
marshall27 [118]

Answer:

this is your answer

I hope it helps you

:-))

4 0
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