Why it is not necessary to use the distance formula for vertical or horizontal segments

The distance of vertical segments is found from the difference between the y-coordinate values, distance = y₂ - y₁

The distance for horizontal segments is found from the difference between the x-coordinate values, distance = x₂ - x₁

Step-by-step explanation:

The distance formula for finding the distance between two points with the given coordinates, (x₁, y₁), (x₂, y₂) can be presented as follows;

For vertical segments, we have that the values of the x-coordinates are the same for both points, such as x₁ = x₂ which gives the distance between the points as follows;

Therefore, the distance of vertical segments is found by simply finding the difference between the y-coordinate values, distance = y₂ - y₁

Similarly, for horizontal segments, we have the values of the y-coordinates are the equal for both points, such as y₁ = y₂ which gives the distance between the points as follows;

The distance of horizontal segments is the difference between the x-coordinate values, distance = x₂ - x₁.

since both sides equal, there are infinitely many olutions.

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10