Question

its the last one:) please help. giving brainlist

Answer 1

Answer:

$5$

Step-by-step explanation:

Segments are named by their endpoints. Therefore, segment PQ will have endpoints P and Q. The length of the segment is equal to the distance between these points.

To find the distance between P and Q given their coordinates, use the distance formula:

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

Let:

$P(-2, 7)\implies (x_1, y_1),\\Q(1, 3)\implies (x_2, y_2)$

The distance between these points is equal to:

$d=\sqrt{(1-(-2))^2+(3-7)^2},\\d=\sqrt{3^2+(-4)^2},\\d=\sqrt{9+16},\\d=\sqrt{25},\\d=\boxed{5}$

Answer 2

Answer:

$5$

Step-by-step explanation:

This problem gives one the following points on a line: ($P(-2,7)$), and ($Q(1,3)$). The problem asks one to find the distance between the two points. The formula to find the distance between two points on a coordinate point is the following,

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

Substitute the given values in and solve for the distance;

$D=\sqrt{(-2)-(1))^2+((7)-(3))^2}$

Simplify,

$D=\sqrt{(-2)-(1))^2+((7)-(3))^2}\\\\D=\sqrt{(-3)^2+(4)^2}\\\\D=\sqrt{9+16}\\\\D=\sqrt{25}\\\\D = 5$