Find the distance between each pair of points. Round to the nearest tenth if necessary. (-3, 6) (2,1) August 2, 2021 by Thái Dương Find the distance between each pair of points. Round to the nearest tenth if necessary. (-3, 6) (2,1)

Answer: The distance between the two points is about 7.1 units. Step-by-step explanation: We want to find the distance between the two points (-3, 6) and (2, 1). To find the distance between any two points, we can use the distance formula: [tex]\displaystyle d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] Let (-3, 6) be (x₁, y₁) and (2, 1) be (x₂, y₂). Substitute: [tex]\displaystyle d=\sqrt{((2)-(-3))^2+((1)-(6))^2}[/tex] Simplify: [tex]\displaystyle d=\sqrt{(5)^2+(-5)^2}[/tex] Evaluate: [tex]d=\sqrt{25+25}=\sqrt{25(2)}=5\sqrt{2}\approx 7.1\text{ units}[/tex] The distance between the two points is about 7.1 units. Reply

Answer:The distance between the two points is about 7.1 units.

Step-by-step explanation:We want to find the distance between the two points (-3, 6) and (2, 1).

To find the distance between any two points, we can use the distance formula:

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

Let (-3, 6) be (

x₁, y₁) and (2, 1) be (x₂, y₂). Substitute:[tex]\displaystyle d=\sqrt{((2)-(-3))^2+((1)-(6))^2}[/tex]

Simplify:

[tex]\displaystyle d=\sqrt{(5)^2+(-5)^2}[/tex]

Evaluate:

[tex]d=\sqrt{25+25}=\sqrt{25(2)}=5\sqrt{2}\approx 7.1\text{ units}[/tex]

The distance between the two points is about 7.1 units.