Question

Find the distance between points M(6,16) and Z(-1,14) to the nearest tenth.

(Please show steps)

Answer 1

We can find the distance between two points using the distance formula:

`\sqrt{(x.2 - x.1)^(2) + (y.2 - y.1)^(2)}`

√(-1 - 6)^2 + (14 - 16)^2

√53 = 7.3

Answer 2

√53 units.

Explanation:

By the distance formula,

The distance between the points
`A(x_1, y_1)` and
`B(x_2, y_2)` is,

`AB=√((x_2-x_1)^2+(y_2-y_1)^2)`

Thus, the distance between the points M(6,16) and Z(-1,14),

`MZ=√((-1-6)^2+(14-16)^2)`

`=√((-7)^2+(-2)^2)`

`=√(49+4)`

`=√(53)\text{ units}`