Question

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

A) 7.2
B) 6.0
C) 2.8
D) 6.3

Answer 1

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.

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=√(\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2)`

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

`=√(\left(1-3\right)^2+\left(-2-4\right)^2)`

`=√(2^2+6^2)`

`=√(4+36)`

`=√(40)`

`=√(4* 10)`

`=√(2^2* \:10)`

`=2√(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.