Question

Find the distance between each pair of points.(5,0) and(-4,0)

Answer 1

9 units

Explanation:

• To find the distance between two points we can use the distance formula:

`\sf Distance = √((x_2 - x_1)^2 + (y_2 - y_1)^2)`

In this case, the coordinates of the two points are:

( 5, 0 ) → ( x₁ , y₁ )

( 4, 0 ) → ( x₂ , y₂ )

• Substituting these values into the distance formula:

`\sf Distance =\sqrt {(-4 - 5)^2 + (0 - 0)^2)}`

• Simplifying inside the square root:

`\sf Distance = √((-9)^2 + 0^2)`

• Calculating the squares:

`\sf Distance = √((81 + 0))`

• Adding the values inside the square root:

`\sf Distance = √(81)`

• Taking the square root of 81 gives:

Distance = 9

Therefore, the distance between the points (5, 0) and (-4, 0) is 9 units.

Answer 2

• 9 units

-----------------------

The two given points are on the x-axis, since both have zero y-coordinates.

The distance between those points is the difference of the x-coordinates:

• d = 5 - (-4) = 5 + 4 = 9