Question

Distance between (-4, -3) (2, 1)

Answer 1

Answer:

$\Longrightarrow: \boxed{\sf{2\sqrt{13}}}$

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:

$\Longrightarrow: \sf{\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}}$

$\sf{y_2=1}\\\\\sf{y_1=(-3)}\\\\\sf{x_2=2}\\\\\sf{x_1=(-4)}$

$\Longrightarrow: \sf{\sqrt{\left(2-\left(-4\right)\right)^2+\left(1-\left(-3\right)\right)^2}$

Solve.

$\Longrightarrow: \boxed{\sf{2\sqrt{13}}}$

• Therefore, the final answer is 2√13.

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

Answer 2

Answer:

$2\sqrt{13}$

Step-by-step explanation:

$d=\sqrt{(x_{2}-x_{1})^{2}+ (y_{2}-y_{1})^{2}}$

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