Respuesta :
the answer is b that all that needs to be said lol
Answer:
The distance between the segments A(–4, –2) and B(–7, –7) is [tex]\sqrt{34}[/tex]
Step-by-step explanation:
Given : Endpoints are A(–4, –2) and B(–7, –7).
We have to determine the distance between the segments A(–4, –2) and B(–7, –7).
DISTANCE FORMULA : We can find the distance between two points using distance formula.
[tex]D=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
Consider the given two points A(–4, –2) and B(–7, –7).
[tex]\left(x_1,\:y_1\right)=(-4,-2),\:\left(x_2,\:y_2\right)=(-7,-7)[/tex]
We have,
[tex]D=\sqrt{\left(-7-\left(-4\right)\right)^2+\left(-7-\left(-2\right)\right)^2}[/tex]
Simplify, we have,
[tex]D=\sqrt{34}[/tex]
Thus, The distance between the segments A(–4, –2) and B(–7, –7) is [tex]\sqrt{34}[/tex]