Respuesta :

Answer:

A

Step-by-step explanation:

Calculate the distance (d) using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (5, - 3) and (x₂, y₂ ) = (0, 2)

d = [tex]\sqrt{(0-5)^2+(2+3)^2}[/tex]

  = [tex]\sqrt{(-5)^2+5^2}[/tex]

  = [tex]\sqrt{25+25}[/tex]

  = [tex]\sqrt{50}[/tex] = [tex]\sqrt{25(2)}[/tex] = 5[tex]\sqrt{2}[/tex]

Gasaqui

Answer:

option a

Step-by-step explanation:

we have the equation of distance between two points :

d=[tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

first point (5,-3)

second point (0,2)

so we have

d=[tex]\sqrt{(0-5)^2+(2-(-3))^2}[/tex]

d=[tex]\sqrt{25+25}[/tex]

d=[tex]\sqrt{50}[/tex]

50=(5^2)*2

so we have d=[tex]\sqrt{50}[/tex] = [tex]\sqrt{5^2*2[/tex]

d=5[tex]\sqrt{2}[/tex]

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