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]

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