Question

Find the distance between the points (5, 4) and (-5, 4).

A) 10
B) 5
C) 0
D) 9

Answer 1

The distance between the points (5, 4) and (-5, 4) is 10.

Step-by-step explanation:

To find the distance between two points in the Cartesian plane, we can use the distance formula.

The distance between the points (x1, y1) and (x2, y2) is given by the formula:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Using the coordinates (5, 4) and (-5, 4), we have:

distance = sqrt((-5 - 5)^2 + (4 - 4)^2)

distance = sqrt((-10)^2 + 0^2)

distance = sqrt(100 + 0)

distance = sqrt(100) = 10

Therefore, the distance between the points (5, 4) and (-5, 4) is 10.