Question

Which expression can be used to determine the length of segment ZY?

Answer 1

Answer:

The length of segment ZY is of $\sqrt{73}$ units.

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, $(x_1,y_1)$ and $(x_2,y_2)$. The distance between them is given by:

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

In this question:

Point Z has coordinates (-5,1)

Pount Y has coordinates (3,4).

The length of segment ZY is the distance between points Z and Y. Thus

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

$D = \sqrt{(-5-3)^2+(1-4)^2}$

$D = \sqrt{8^2+3^2}$

$D = \sqrt{73}$

The length of segment ZY is of $\sqrt{73}$ units.