Respuesta :

Answer:

√97

Step-by-step explanation:

Even though it's not one of the options here, it's the correct answer. I think it's because the OP just copy and pasted, and in the original question most square roots are images, so it didn't transfer to Brainly and the OP didn't notice. The step-by-step solution is included in the image provided.

Ver imagen BGT2004

The distance between (6, 2) and (-3, -2) 9.85 units.

What is the distance between two point?

The distance between two points [tex](x_1,y_1),(x_2,y_2)[/tex] is:

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

For given example,

We We need to find the distance between (6, 2) and (-3, -2).

Let, [tex](x_1,y_1)=(6,2),(x_2,y_2)=(-3,-2)[/tex]

Using distance formula, the distance between (6, 2) and (-3, -2) would be,

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

⇒ [tex]d=\sqrt{(2-(-2))^2+(6-(-3))^2}[/tex]

⇒ [tex]d=\sqrt{(2+2)^2+(6+3)^2}[/tex]

⇒ [tex]d=\sqrt{(4)^2+(9)^2}[/tex]

⇒ [tex]d=\sqrt{16+81}[/tex]

⇒ [tex]d=\sqrt{97}[/tex]

⇒ [tex]d=9.85[/tex] units

Therefore, the distance between (6, 2) and (-3, -2) is 9.85 units.

Learn more about distance between points here:

https://brainly.com/question/8792086

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