All categories

4 years ago

What is the reason for each step in the solution of the equation? −6x=−2(x+12)

1 answer:

7 0

-6x = -2(x + 12) ... distribute through the parenthesis
-6x = -2x - 24 ... addition property of equality....add 2x to both sides
-6x + 2x = -24 ... combine like terms
-4x = -24 ... division property....divide both sides by -4
x = -24/-4
x = 6

You might be interested in

Is (12 + 12)7 × 37 equivalent to (24 × 3)7?

Murrr4er [49]

Answer:

Step-by-step explanation:

(12+12)7 x 37 (24 x 3)7

(24)7 x 37 (72)7

168 x 37 504

6216 is not equal to 504

so NO

Can I plz have brainliest please

6 0

3 years ago

In 3 years, Dianna will be 4 times as old as she was 33 years ago. How old is Dianna now?

Sergeu [11.5K]

Given that In 3 years, Dianna will be 4 times as old as she was 33 years ago, her present age is 45.

<h3>How old is Dianna now?</h3>

Given that, in 3 years, Dianna will be 4 times as old as she was 33 years ago.

Let x represent the age of Dianna presently.

Dianna's age in 3 years time will be: x + 3

Dianna's age 33 years ago is: x - 33

Since in 3 years, she will be 4 times as old as she was 33 years ago.

x + 3 = 4( x - 33 )

We solve for x

x + 3 = 4x - 132

3 + 132 = 4x - x

135 = 3x

x = 135/3

x = 45

Given that In 3 years, Dianna will be 4 times as old as she was 33 years ago, her present age is 45.

Learn more word problems here: brainly.com/question/2610134

#SPJ1

4 0

2 years ago

I need help on these question ASAP!!!! This is Urgent

GarryVolchara [31]

Part 1: The equation of the line is $y=2x+1$

Part 2: The equation of the line in slope intercept form is $y=-3x-1$

Explanation:

Part 1: It is given that the point A is $(1,3)$ and the line B is $y=2 x-2$

To determine the line passing through the point A and parallel to line B, let us first determine the slope and y-intercept.

From the equation of line B, the slope is $m=2$

Substituting the point $(1,3)$ and $m=2$ in slope intercept form $y=mx+b$ , we have,

$3=2(1)+b$

$3=2+b$

$1=b$

Thus, the y-intercept is $b=1$

Let us substitute the values $m=2$ and $b=1$ in the slope intercept form $y=mx+b$ , we get,

$y=2x+1$

Thus, the equation of the line passing though point A and parallel to line B is $y=2x+1$

Part 2: The given two coordinates are $(-1,2)$ and $(1,-4)$

To determine the equation of line in slope intercept form, first we shall find the slope and y-intercept.

From the graph, we can see that the line touches the y-axis at -1.

Hence, the y-intercept is $b=-1$

The formula for slope is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substituting the coordinates $(-1,2)$ and $(1,-4)$ , we have,

$m=\frac{-4-2}{1+1} =\frac{-6}{2} =-3$

Thus, the slope is $m=-3$

Substituting the values $b=-1$ and $m=-3$ in the slope intercept formula $y=mx+b$ , we get,

$y=-3x-1$

Thus, the equation of the line in slope intercept form is $y=-3x-1$

4 0

3 years ago

What does the product of the two circled numbers represent?

Stella [2.4K]

Answer:

Step-by-step explanation:

<u>Product</u> is another word for multiplication, and 2 * 9 = 18.

Hope this helps! :D

~Kk

8 0

2 years ago

Read 2 more answers

Solve the following equation for q. 5q + 2p + 4 = 3q – 8.

Yuri [45]

Answer:

Step-by-step explanation:

$\\$ By collecting the like terms , we have:

$\\$ 5q - 3q = - 8 - 4 - 2p

$\\$ 2q = -12 - 2p

$\\$ divide each term by 2 , we have

$\\$ q = -6 - p

4 0

3 years ago