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.
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]