What is the maximum number of non-overlapping regions that can be determined by three lines in a plane

1 answer:

4 0

It is 7 regions because you can make a triangle with these lines and there can be one middle region then you would have 6 outside regions. Draw out a triangle but the line intersect on each pointy end. If this is right could I possibly have brainliest? Hope this helped!! :)

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9 x 200 in expanded form

tatyana61 [14]

The expanded form would be: 9 x 2 x 100

8 0

3 years ago

Read 2 more answers

Give a geometric description of the following system of equations.a. 2x−4y=12 −3x+6y=−15.b. 2x−4y=12 −5x+3y=10.a. 2x−4y=12 −3x+6

Reptile [31]

Answer:

a. No solution, parallel lines.

b. One solution.

Step-by-step explanation:

Given the system of equations:

a. $2x-4y=12$

$-3x+6y=-15$

b. $2x-4y=12$

$-5x+3y=10$

To give a geometric description of the given system of equations.

The geometric description of a system of equations in 2 variables mean the system of equations will represent the number of lines equal to the number of equations in the system given.

i.e.

Number of planes = Number of variables

Number of lines = Number of equations in the system.

Here, we are given 2 variables and 2 equation in each system.

So, they can be represented in the xy-coordinates plane.

And the number of solutions to the system depends on the following condition.

Let the system of equations be:

$A_1x+B_1y+C_1=0\\A_2x+B_2y+C_2=0$