Make an equation with no solution

Step-by-step explanation:

The graphed function is:

Now, a system of linear equations with no solution means 2 lines that never intersect at any point. The only way that can be true is if both lines are parallel, or have the same slope.

You can write any equation that has the same slope, I'll do this one:

You can confirm that they are parallel in the attached image.

The reason they cannot intersect is because the point at which 2 lines intersect is the solution. If they intersect at any point, there is a solution, and that solution is that point.

answer: both chords and diameters have two endpoints on a circle. diameters must intersect the center of a circle.

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true