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Find x so that the distance between the points (-2,5) and (x,-7) is 13

User Billc
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1 Answer

3 votes

Answer :

  • (x₁ , y₁) = (-2 , 5)
  • (x₂ , y₂) = (x , -7)

Distance between both points = 13

We have to find value of x
.

Distance between two points can be measured by using this formula :

  • d = √[(x₂ - x₁)² + (y₂ - y₁)²]

⭆ d = √[(x₂ - x₁)² + (y₂ - y₁)²]

⭆ 13 = √[(x - (-2))² + (-7 - 5)²]

⭆ 13² = (x + 2)² + (-12)²

⭆ 169 = (x + 2)² + 144

⭆ (x + 2)² = 169 - 144

⭆ (x + 2)² = 25

⭆ x + 2 = 5

⭆ x = 5 - 2

x = 3

Hope It Helps!

User Jan Schultke
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