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zimovet [89]
3 years ago
8

Write equations for three lines that intersect to form a triangle

Mathematics
1 answer:
sveta [45]3 years ago
7 0
1.
Any 3 lines a, b and c intersect and form triangles, in no 2 of them are parallel.


2.

2 lines are parallel only if their slopes are equal.


3.

if the equation of a line l is given in the form y=mx+t, then m, the coefficient of x, is the slope of that line.


4.

so given lines a, b, c with equations: 

a: y=m_1x+t\\\\b: y=m_2x+u\\\\c: y=m_3x+v

if m_1 \neq m_2 \neq m_3, then the lines intersect, forming thus a triangle.


5.

let the 3 lines be:

a: y=2x+5\\\\b: y=-4x+13\\\\c: y=x+7
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Step-by-step explanation:

$10.05 divided by 15 equals 0.67 cents.

0.67 x 15 = $10.05

7 0
2 years ago
Consider the polynomials p(x) = 3x + 27x^2 and q(x)= 2 . Find the x -coordinate(s) of the point(s) of intersection of these two
Tom [10]

Answer:

The x -coordinate(s) of the point(s) of intersection of these two polynomials are x=\frac{2}{9}\approx0.2222,\:x=-\frac{1}{3}\approx-0.3333

The sum of these x -coordinates is \frac{2}{9}+\left(-\frac{1}{3}\right)=-\frac{1}{9}

Step-by-step explanation:

The intersections of the two polynomials, p(x) and q(x), are the roots of the equation p(x) = q(x).

Thus, 3x + 27x^2=2 and we solve for x

3x+27x^2-2=2-2\\27x^2+3x-2=0\\\left(27x^2-6x\right)+\left(9x-2\right)\\3x\left(9x-2\right)+\left(9x-2\right)\\\left(9x-2\right)\left(3x+1\right)=0

Using Zero Factor Theorem: = 0 if and only if = 0 or = 0

9x-2=0\\9x=2\\x=\frac{2}{9}

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The solutions are:

x=\frac{2}{9}\approx0.2222,\:x=-\frac{1}{3}\approx-0.3333

The sum of these x -coordinates is

\frac{2}{9}+\left(-\frac{1}{3}\right)=-\frac{1}{9}

We can check our work with the graph of the two polynomials.

4 0
3 years ago
X^3-13x^2+40x=0 quadratic
777dan777 [17]

Answer:

x(x-5)(x-8)

or  

x=5

x=8

Step-by-step explanation:

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6 0
3 years ago
Need help asap please !!
irinina [24]

Answer:

g(3) = 13

Step-by-step explanation:

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g(x) = x^2 + 4\\g(3) = 3^2 + 4\\g(3) = 9 + 4\\g(3) = 13

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7 0
2 years ago
Read 2 more answers
Law of Syllogism.
stiks02 [169]

Answer:

true

Step-by-step explanation:

if it is 10,20,30,40etc...

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20÷5=10

30÷5=15

40÷5=20

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3 years ago
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