-6x^2-5x-5= −6x 2 −5x−5= \,\,-4x^2 −4x 2

On a coordinate plane, a line goes through (negative 12, negative 2) and (0, negative 4). A point is at (0, 6).

mariarad [96]

Point (-12 , 8) is on the line that passes through (0, 6) and is parallel to the given line ⇒ 1st

Step-by-step explanation:

Parallel lines have:

Same slopes
Different y-intercepts

The formula of the slope of a line which passes through points $(x_{1},y_{1})$ and $(x_{1},y_{1})$ is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

∵ The given line passes through points (-12 , -2) and (0 , -4)

∴ $x_{1}$ = -12 , $x_{2}$ = 0

∴ $y_{1}$ = -2 , $y_{2}$ = -4

- Use the formula of the slope above to find the slope of the given line

∵ $m=\frac{-4-(-2)}{0-(-12)}=\frac{-4+2}{12}=\frac{-2}{12}=\frac{-1}{6}$

∴ The slope of the given line is $\frac{-1}{6}$

∵ The two lines are parallel

∴ Their slopes are equal

∴ The slope of the parallel line = $\frac{-1}{6}$

∵ The parallel line passes through point (0 , 6)

- The form of the linear equation is y = mx + b, where m is the slope

and b is the y-intercept (y when x = 0)

∵ m = $\frac{-1}{6}$ and b = 6

∴ The equation of the parallel line is y = $\frac{-1}{6}$ x + 6

Let us check which point is on the line by substitute the x in the equation by the x-coordinate of each point to find y, if y is equal the y-coordinate of the point, then the point is on the line

Point (-12 , 8)

∵ x = -12 and y = 8

∵ y = $\frac{-1}{6}$ (-12) + 6

∴ y = 2 + 6 = 8

- The value of y is equal the y-coordinate of the point

∴ Point (-12 , 8) is on the line

Point (-12 , 8) is on the line that passes through (0, 6) and is parallel to the given line

Learn more:

You can learn more about the equations of parallel lines in brainly.com/question/9527422

#LearnwithBrainly

4 0

3 years ago

Read 2 more answers

12x^2+20=50 what is x

LenaWriter [7]

Answer: x=1.5811389999999999 , or 1.59

Step-by-step explanation:

First, Subtract 20 from both sides.

12x2+20−20=50−20

12x2=30

Then, Divide both sides by 12:

12x^2/12 = 30/12

⇒ you get : x^2 = 5/2

After, Take square root.

x= ± √ 5/2

Finally you answer is going to be =1.5811389999999999 OR, 1.59

* Hopefully this helps:) Mark me the brainliest:)

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7 0

3 years ago

An angle that measures between 90° and 180° is called a(n)_____ angle.

jeka57 [31]

The answer is B. obtuse

7 0

3 years ago

Read 2 more answers

Which of the following is equal to the rational expression when x -2 or -6?

kykrilka [37]

The given expression is

$f(x) = \frac{3(x+2}{(x+2)(x+6)}$

And since we have x+2 common in numerator and denominator, there is a hole at x+2=0, that is at x=-2

And a function is undefined when denominator is zero. And at x=-6, denominator become zero.

So, at x=-6, the function is undefined, or there is a vertical asymptote at x=-6 and hole at x=-2 .

4 0

3 years ago

I need help on 78 and 79

Orlov [11]

There are 15 pencils altogether. Of these, 4 are green. Thus, P(green) = 4/15.

3+6

There are 3 red and 6 blue pencils. Thus, P(red or blue) = --------- = 3/5

15

3 0

3 years ago