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

Answer:

√53 units.

Step-by-step explanation:

By the distance formula,

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

$AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

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

$MZ=\sqrt{(-1-6)^2+(14-16)^2}$

$=\sqrt{(-7)^2+(-2)^2}$

$=\sqrt{49+4}$

$=\sqrt{53}\text{ units}$