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2 years ago

Write an equation in slope-intercept form then Graph. 3x-6y=-12

Mathematics

1 answer:

algol [13]2 years ago

7 0

<h3><u>y = 1/2x + 2 is the given equation in slope-intercept form.</u></h3>

3x - 6y = -12

Currently, this is in standard form.

In order to convert this to slope-intercept form, we need to isolate y.

Add 6y to both sides.

3x = -12 + 6y

Add 12 to both sides.

3x + 12 = 6y

Divide both sides by 6.

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The paragraph below comes from the rental agreement Susan signed when she opened her account at Super Video.

BARSIC [14]

Answer:

option B

Step-by-step explanation:

Given:

per day late costs= 1.50

Purchase price= 9.99

A round trip cab ride to the video store will cost = 10

5 day late cost= 5(1.50)

= 7.50

Payment after 5 day late= 5 day late cost + Purchase price

= 7.50 + 9.99

= 17.49

If she gets a cab, then total payment= 10 + 7.50

= 17.50

Hence both costs almost the same, option B is true

It would cost about the same to keep or return the movie. Susan should keep it!

3 0

3 years ago

What integer does Point B represent?<br><br> HURRY WILL MARK AS BRAINLIEST

mario62 [17]

Answer:

-4

Step-by-step explanation:

B is 4 units to the left of the origin.

6 0

2 years ago

Read 2 more answers

Line m has the equation y = 1/2x - 4

Mandarinka [93]

Answer:

As the slopes of both lines 'm' and 'n' are the same.

Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.

Step-by-step explanation:

We know that the slope-intercept of line equation is

$y=mx+b$

Where m is the slope and b is the y-intercept

Given the equation of the line m

y = 1/2x - 4

comparing with the slope-intercept form of the line equation

y = mx + b

Therefore,

The slope of line 'm' will be = 1/2

We know that parallel lines have the 'same slopes, thus the slope of the line 'n' must be also the same i.e. 1/2

Checking the equation of the line 'n'

$x-2y=4$

solving for y to writing the equation in the slope-intercept form and determining the slope

$x-2y=4$

Add -x to both sides.

$x - 2y + (-x) = 4+(-x)$

$-2y = 4 - x$

Divide both sides by -2

$\frac{-2y}{-2}=\frac{-x+4}{-2}$

$y=\frac{1}{2}x-2$

comparing ith the slope-intercept form of the line equation

Thus, the slope of the line 'n' will be: 1/2

As the slopes of both lines 'm' and 'n' are the same.

Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.

3 0

2 years ago

PLS HELP ME ILL GIVE YOU BRAINIEST!!!

kenny6666 [7]

The <em>total surface</em> area of the three figures are 702 square feet.

<h3>How to estimate the amount of metal needed to produce a given amount of figures</h3>

According to this problem, we are required to determine the amount of metal needed to build three pieces with the dimensions presented in the figure.

In this case, we need to estimate the <em>total</em> surface area ( $A_{T}$ ), in square feet, required for the production of the three pieces, that is, the product of the number of pieces (<em>n</em>), no unit, and the surface area of each piece (<em>A</em>).

Now we proceed to calculate the total surface area:

$A_{T} = n\cdot A$

$A_{T} = 3\cdot \left[(5\,ft)\cdot (8\,ft) + (2\,ft)\cdot (8\,ft)+(8\,ft)\cdot (7\,ft)+(3\,ft)\cdot (8\,ft) \\$

$+(5\,ft)\cdot (8\,ft)+2\cdot (3\,ft)\cdot (5\,ft) + 2\cdot (4\,ft)\cdot (2\,ft) + (3\,ft)\cdot (4\,ft) ]$

$A_{T} = 702\,ft^{2}$

The <em>total surface</em> area of the three figures are 702 square feet. $\blacksquare$

To learn more on surface areas, we kindly invite to check this verified question: brainly.com/question/2835293

7 0

2 years ago

Read 2 more answers

What is the gcf of 12x^4+18x^2

kari74 [83]

12x^4+18x^2

= 3x^2 (4x^2+6)

Thus, the greatest common factor is 3x^2

4 0

3 years ago