Respuesta :

gmany

Answer:

10 units

Step-by-step explanation:

The formula of a distance between two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have the points (1, -3) and (9, 3). Substitute:

[tex]d=\sqrt{(9-1)^2+(3-(-3))^2}=\sqrt{8^2+6^2}=\sqrt{64+36}=\sqrt{100}=10[/tex]

To solve this problem, we must use the distance formula

d = √(x₂ - x₁)² + (y₂ - y₁)²

x₂ = 9; x₁ = 1

y₂ = 3; y₁ = -3

d = √(9 - 1)² + (3 - (-3))²

d = √8² + 9²

d = √64 + 81

d = √145

d ≈ 12.04

Hope this helps!