memoryofdale
memoryofdale memoryofdale
  • 01-02-2019
  • Mathematics
contestada

Cole says the distance between points (-5,0) and (0,-5)is 5 units. Is he correct? Explain why or why not.

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jimrgrant1 jimrgrant1
  • 01-02-2019

Answer:

Incorrect

Step-by-step explanation:

To calculate the distance (d) use the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

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

d = [tex]\sqrt{(0+5)^2+(-5-0)^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] ← exact value


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