Find the distance between the points (3,9) and (
–
7,
–
7).
To find the distance between two points (x1, y1) and (x2, y2), we use the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, the points are (3, 9) and (-7, -7). Plugging these values into the distance formula:
d = sqrt((-7 - 3)^2 + (-7 - 9)^2)
Simplifying:
d = sqrt((-10)^2 + (-16)^2)
d = sqrt(100 + 256)
d = sqrt(356)
Therefore, the distance between the points (3, 9) and (-7, -7) is sqrt(356).