find the distance between points M(5,16) and Z(-1,15) to the nearest tenth

the distance formula for the distance between any two points (a,b) and (c,d) is

Distance = √( c-a)^2 + (d-b)^2)

just plug in your values

To find the distance between two points in a two-dimensional coordinate system, you can use the distance formula. The distance formula states that the distance between two points, (x1, y1) and (x2, y2), is given by:

d = √((x2 - x1)² + (y2 - y1)²)

In this case, the coordinates of point M are (5, 16) and the coordinates of point Z are (-1, 15). Let's substitute these values into the distance formula:

d = √((-1 - 5)² + (15 - 16)²)

Simplifying further:

d = √((-6)² + (-1)²)
d = √(36 + 1)
d = √37

Hence, the distance between points M(5,16) and Z(-1,15) is approximately √37 or 6.08 to the nearest tenth.