Question

What is the length of LM if L(3,4) and M(1,-2)? Round to the nearest tenth.

Answer 1

Answer:

We conclude that the length of LM if L(3,4) and M(1,-2) will be:

$d = 6.3$

Hence, option D is correct.

Step-by-step explanation:

Given

• L(3,4)

• M(1,-2)

Determining the length of LM

• (x₁, y₁) = (3, 4)

• (x₂, y₂) = (1, -2)

The length of the distance between (x₁, y₁)  and (x₂, y₂)  can be determined using the formula

$d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

substituting (x₁, y₁) = (3, 4) and (x₂, y₂) = (1, -2)

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

   $=\sqrt{2^2+6^2}$

   $=\sqrt{4+36}$

   $=\sqrt{40}$

   $=\sqrt{4\times 10}$

   $=\sqrt{2^2\times \:10}$

   $=2\sqrt{10}$

   $=6.3$

Therefore, we conclude that the length of LM if L(3,4) and M(1,-2) will be:

$d = 6.3$

Hence, option D is correct.