Respuesta :

Answer:

[tex]\Longrightarrow: \boxed{\sf{2\sqrt{13}}}[/tex]

Step-by-step explanation:

Question:

  • Find the distance between (-4,-3) (2,1)

To find:

  • The distance between (-4,-3) (2,1).

Use the distance formula.

Distance formula:

[tex]\Longrightarrow: \sf{\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}}[/tex]

[tex]\sf{y_2=1}\\\\\sf{y_1=(-3)}\\\\\sf{x_2=2}\\\\\sf{x_1=(-4)}[/tex]

[tex]\Longrightarrow: \sf{\sqrt{\left(2-\left(-4\right)\right)^2+\left(1-\left(-3\right)\right)^2}[/tex]

Solve.

[tex]\Longrightarrow: \boxed{\sf{2\sqrt{13}}}[/tex]

  • Therefore, the final answer is 2√13.

I hope this helps, let me know if you have any questions.

940172

Answer:

[tex]2\sqrt{13}[/tex]

Step-by-step explanation:

[tex]d=\sqrt{(x_{2}-x_{1})^{2}+ (y_{2}-y_{1})^{2}}[/tex]

[tex]d=\sqrt{(2--4)^{2}+ (1--3)^{2}}\\\\d=\sqrt{(6)^{2}+ (4)^{2}}\\\\d=\sqrt{36+16}\\\\d=\sqrt{52}\\\\d=2\sqrt{13}[/tex]