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3 years ago

State whether the lines are parallel, perpendicular, coinciding, or neither: 6x+3y=–15 and y–3=–2x

Mathematics

1 answer:

lianna [129]3 years ago

4 0

Answer:

Parallel

Step-By-Step Explanation:

Put the Function in Slope Intercept Form and Find the Slope of 6x+3y = 15

6x+3y = 15

3y = -6x + 15

3y/3 = -6x/3 + 15/3

y = -2x + 5

We can see that the slope of 6x+3y = 15 is -2

Put the Function in Slope Intercept Form and Find the Slope of y–3=–2x

y–3=–2x

y = -2x + 3

Here are our two Functions In Slope Intercept Form

y = -2x + 5

y = -2x + 3

Remember the m = slope and the b = y-intercept

y = mx + b

y = -2x + 5

y = -2x + 3

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We can see both equations have the same slope of -2 so this means they could be parallel because parallel functions have the same slope but coinciding functions have the same slope too. To tell if the two functions are coinciding, the functions need to have the same slope and the same y-intercept. Looking at the two functions, we can see they have the same slope of -2 but their y-intercept are different so this makes the two functions parallel.

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Answer:

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3 years ago

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Which of the following systems of inequalities has point D as a solution? Two linear functions f of x equals 3 times x plus 4 an

Pani-rosa [81]

Answer:

B) f(x) ≥ 3x + 4

g of x is less than or equal to negative one half times x minus 5

Step-by-step explanation:

From the above graph,

If point B is the solution of the system of inequalities, then point B must satisfies both inequalities

We can see from the graph that

Point B is located above (≥) the boundary line for f(x) and is also below (≤) the boundary line for g(x).

So we can say,

Point b satisfies the inequalities

Therefore,

The system is

f(x) ≥ (3x+4)

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Hopes this Helps :)

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3 years ago

Line A: y=-1/2x+3

sashaice [31]

A) For the equation $y=- \frac{1}{2}x+3$ , the slope is $- \frac{1}{2}$ .
Slope-intercept form is y = mx + b, where m is slope and b is the y-intercept. This means that if $m=- \frac{1}{2}$ , the slope is $- \frac{1}{2}$ .

B) Since this equation is in the same form, you just find what m is equal to.
Since $m=2$ , that's the slope.

For the solution, set $y=- \frac{1}{2}x+3$ equal to $y=2x-4$ , so it would be put together like this:
$y=[tex]- \frac{1}{2}x+3=2x-4\\ -\frac{1}{2}=2x-7\\ 1\frac{1}{2}x=-7\\ x=-4.66667$
So your answer is -4.667.

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Answer:

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