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tatuchka [14]
3 years ago
9

When solving a system of two linear equations

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
7 0

Answer:

When both equations have the same slope, but not the same y-intercept, they'll be parallel to each other and no intersections means no solutions. When both equations have different slopes than regardless of the y-intercept they'll intersect for certain, therefore it has exactly one solution.

Step-by-step explanation:

Got this from google hope it helps

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33 points!! The line contains the point (4,-2) and is perpendicular to 4x+3y=-6 The equation of the line is:
Deffense [45]

Answer:

y = 3/4 x - 5

Step-by-step explanation:

The slopes of perpendicular lines are negative reciprocals. We find the slope of the given line. Then we can find the slope of the reciprocal.

4x + 3y = -6

Solve for y.

3y = -4x - 6

y = -4/3 x - 2

The slope of the original line is -4/3.

The slope of the perpendicular is 3/4.

Now we need to find the equation of line with slope 3/4 that contains point (4, -2).

y = mx + b

-2 = (3/4)(4) + b

-2 = 3 + b

-5 = b

b = -5

The equation is

y = 3/4 x - 5

5 0
3 years ago
How do you factor 33x^5y^2+21x^3y+9x^3y^3?
scZoUnD [109]

Answer:

3x³y(11x²y+3y²+7)

Step-by-step explanation:

hope that helps

7 0
3 years ago
A cylinder has a a radius of 18in and a<br> height of 21in. Find its volume.
IgorLugansk [536]

Answer:

Just Multiply them together

Step-by-step explanation:

4 0
3 years ago
Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the inter
slava [35]

Using it's concept, the average rate of change of the function over the interval 10 < x < 22 is given by:

r = \frac{f(22) - f(10)}{12}

<h3>What is the average rate of change of a function over an interval?</h3>

It is given by the change in the <u>output divided by the change in input</u>.

Over the interval 10 < x < 22, the outputs are f(10) and f(22), hence the rate of change is given by:

r = \frac{f(22) - f(10)}{12}

More can be learned about the average rate of change of a function at brainly.com/question/24313700

#SPJ1

8 0
2 years ago
For which values of x is the inequality 3(1 + x) &lt; x + 6 true?
Bond [772]
4 & 5....

i think it is 


3 0
3 years ago
Read 2 more answers
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