Respuesta :

Answer:

[tex]\sqrt{80}[/tex]

Step-by-step explanation:

To calculate the distance GH use the distance formula

GH = √ ( x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = G(0, - 3) and (x₂, y₂ ) = H(8, 1)

GH = [tex]\sqrt{(8-0)^2+(1+3)^2}[/tex]

     = [tex]\sqrt{64+16}[/tex] = [tex]\sqrt{80}[/tex]

Answer:

[tex]\sqrt{80}[/tex] units

Step-by-step explanation:

We have to find the length of segment GH.

Since coordinates of G and H are G(0, 3) and H(8, 1)

Now we know if coordinates of the end points of a line segment have been given then length of the segment will be

[tex]\sqrt{(x-x')^{2}+(y-y')^{2}}[/tex]

[tex]\sqrt{(8-0)^{2}+(1+3)^{2}}[/tex]

[tex]\sqrt{64+16}[/tex]

[tex]\sqrt{80}[/tex] units

Option c [tex]\sqrt{80}[/tex] units is the answer.

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