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Dovator [93]
3 years ago
10

What is the slope of 3x+6y+12=0​

Mathematics
2 answers:
KonstantinChe [14]3 years ago
7 0

Answer:

slope = - \frac{1}{2}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 3x + 6y + 12 = 0 into this form

Subtract 3x + 12 from both sides

6y = - 3x - 12 ( divide all terms by 6 )

y = - \frac{1}{2} x - 2 ← in slope- intercept form

with slope m = - \frac{1}{2}

Law Incorporation [45]3 years ago
6 0

Answer:

\large\boxed{m=-\dfrac{1}{2}}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

We have the equation in general form

Ax+By+C=0

Convert it to the slope-intercept form:

3x+6y+12=0              <em>subtract 6y from both sides</em>

3x+12=-6y               <em>divide both sides by (-6)</em>

y=\dfrac{3}{-6}x+\dfrac{12}{-6}

y=-\dfrac{1}{2}x-2

Therefore the slope

m=-\dfrac{1}{2}

Other method.

If we have the equation of lines in the general form Ax + By + C = 0 or the standard form Ax + By = C, then the slope is equal to:

m=\dfrac{-A}{B}

We have

3x+6y+12=0\to A=3,\ B=6

Substitute:

m=\dfrac{-3}{6}=-\dfrac{1}{2}

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3 years ago
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Which expression is equivalent to (-1.3x-4.5) - (-2.1x+3.6)?
timurjin [86]

Equivalent expressions are expressions with the same value.

The equivalent expression of (-1.3x - 4.5)- (-2.1x + 3.6) is 0.8x -8.1

Given that:

(-1.3x - 4.5)- (-2.1x + 3.6)

Open brackets

(-1.3x - 4.5)- (-2.1x + 3.6) = -1.3x - 4.5+ 2.1x - 3.6

Collect like terms

(-1.3x - 4.5)- (-2.1x + 3.6) = -1.3x + 2.1x - 4.5 - 3.6

(-1.3x - 4.5)- (-2.1x + 3.6) = 0.8x -8.1

Hence, the equivalent of (-1.3x - 4.5)- (-2.1x + 3.6) is 0.8x -8.1

Read more about equivalent expressions at:

brainly.com/question/18257981

6 0
3 years ago
Which equation can be used to find the volume of this solid? ​
valkas [14]

Answer:

the last one

Step-by-step explanation:

it's basically finding the area for a cube and then cutting it in half, so multiply it all together and then divide by 2. sorry if I'm wrong lol

8 0
3 years ago
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Help<br> I dont know the answer im not very smart
Dahasolnce [82]
The domain of G is 4 and the range of G is 9 (domain=x, range=y :))
8 0
2 years ago
Find K such that the points (-2, 5), (2, 8) and (6, K) are collinear.
damaskus [11]

Answer:

k = 11

Step-by-step explanation:

let the points be A(-2,5), B(2,8), C(6,K).

for the points to be collinear slope of line AB maust be equal to line BC.

slope of line AB = \frac{8-5}{2+2}=\frac{3}{4}

slope of line BC = \frac{k-8}{6-2}=\frac{k-8}{4}

therefore \frac{k-8}{4}= \frac{3}{4}

therefore k = 8 + 3

k = 11

8 0
3 years ago
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